A particle moves in a plane according to X=Rsinwt + wRt Y=Rcoswt+R where w and R constant this curved called cycloid path traced out by a point on rim of wheel that slipping with x-axis sketch the path calculate intantaneous velocity and acceleration when particle is its axis maximun and minimun value of Y

Answers

Answer 1

Answer:

maximum  point  y= 2R

 vₓ = wR ,  v_{y} = 0, aₓ = 0,  a{y} = - Rw²

minimum point   y=R

vₓ = wR , v_{y} = - R w,  aₓ = - R w²,  a_{y} = 0

Explanation:

The definition of velocity is

        v = dr / dt

        vₓ = dx / dt

        [tex]v_{y}[/tex] = dy / dt

        vₓ = Rw cos wt + wR

        v_{y} = -Rw sin wt

acceleration is defined by

         a = dv / dt

         aₓ = -Rw² sin wt

         a_{y} = - R w² cos wt

these are the general expressions for velocity and acceleration, to find the explicit values ​​for the maximum and minimum y points, let's find these points and substitute

maximum  point

         y = R cos wt + R

the heat is maximum when the cosine is worth 1

         y_max = 2R

at this point the speed is

         vₓ = wR

         v_{y} = 0

the acceleration is

         aₓ = 0

         a_{y} = - Rw²

minimum point

        this occurs when the cosine is zero

        y = R

speed is

       vₓ = wR

       v_{y} = - R w

acceleration is

        aₓ = - R w²

        a_{y} = 0


Related Questions

What is the observation and what is the inference in the following text. Explain.
The chimpanzee climbed the tall tree. The chimpanzee must be very strong,

Answers

Observation: The chimpanzee climbed the tall tree.

Inference: The chimpanzee must be very strong,

Explanation:

An inference differs from an observation because an inference is a guess or possible explanation about a phenomenon. On the other hand, an observation is a statement based on evidence gathered through the senses. In this context, the sentence that is an observation is "The chimpanzee climbed the tall tree" because this statement is based on visual evidence. Moreover, the inference is "The chimpanzee must be very strong" because this is just a guess to explain how the chimpanzee climbed up the tree.

A group of air particles in a balloon are spread far apart and moving rapidly around inside the balloon. The balloon is placed in a refrigerator for 30 minutes. What would you expect to happen to the appearance of the balloon? Explain your answer in terms of particle movement and their change in temperature. The balloon is removed from the refrigerator and placed on the kitchen counter. What would you expect to happen to the appearance of the balloon? Explain your answer in terms of particle movement and their change in temperature.

Answers

Answer:

1) The balloon will shrink

2) The balloon will grow bigger and regain its shape

Explanation:

By the kinetic theory of gases, we have;

[tex]v_{rms} = \sqrt{\dfrac{3 \cdot R \cdot T}{MW} }[/tex]

[tex]P = \dfrac{n \cdot MW \cdot vrms^2}{3 \cdot V}[/tex]

Where;

[tex]v_{rms}[/tex] = RMS Speed

R = The universal gas constant

T = The temperature

MW = The Molecular weight

n = The number of moles

V = The volume

P = The pressure

1) When the balloon is placed in the refrigerator for  minutes, the temperature inside the balloon will drop and RMS speed will reduce, however due to the elastic wall of the balloon, the pressure will remain the same therefore the volume  will reduce and the balloon will shrink

2) When the balloon is placed on the kitchen counter, the temperature inside the balloon will rise leading to the increase in the RMS speed which will raise the pressure effect on the wall  of the balloon as the balloon is made of elastic material, as the pressure rises, the wall expands to keep the pressure constant and the volume occupied by the air particles will increase, the balloon will grow bigger and regain its shape.

You are the driver of the car in the photos above. You Are traveling at 30 mph when suddenly the car goes from its position in the first photo to the position in the second photo. What is happening

Answers

Answer:

the car uses teleportation, to zip to one side of the photo, to the other

Explanation:

why do objects located further away from pivot have a greater moment?

Answers

Answer:

because us equal to the anticlockwise moment about that pivot.If the object are balanced:clockwise.

Explanation:

This is when an object placed on something narrow object that can act as a pivot too fir example a plank placed on a brick.Finally the edges or the curve

Answer:

Moment about a point= force × perpendicular distance

When an object is further from the pivot, the perpendicular distance of the object from the pivot increases. Since moment is the product of the force and the perpendicular distance, when the perpendicular distance increase, the moment increases too. Thus, objects located further away from the pivot have a greater moment.

Describe what happens to water waves when they strike a flat surface?

Answers

Answer:

In this case reflection occurs.

Explanation:

This happens when they bounce on objects that they can not pass through.

Hope it helps

okay.

Suppose that you have been chosen for a space mission to a distant planet. Due to the length of time you'll be away from Earth you must carry out physical activity every day. On earth your, strength and conditioning trainer has determined you must do 90 minutes of exercise every day. If the vehicle is travelling at 0.80 c how much time, according to a timer on the space vehicle should you be active to meet your physical activity requirement?

Answers

Answer:

I should be active for 15 hours to meet the physical activity requirement.

Explanation:

Since time dilates in moving objects, we use the formula t = t₀/√(1 - β²) where t = time in space vehicle, t₀ = time on earth = 9 hours and β = v/c where v = speed of space vehicle = 0.8c.

So, t = t₀/√(1 - β²)

t = 9/√(1 - (v/c)²)

= 9/√(1 - (0.8c/c)²)

= 9/√(1 - (0.8)²)

= 9/√(1 - (0.64)

= 9/√0.36

= 9/0.6

= 15 hr

So, according to a timer on the space vehicle, I should be active for 15 hours to meet the physical activity requirement.

Be careful of the wire size application chart you use, because many of them allow up to a ____ voltage drop over the length of the wire, which is more than is allowed in most automotive circuits. Group of answer choices

Answers

Answer: 0.1

Explanation: The wire size is very important when making decisions on the wiring of any equipment,house and other things. It has also been found that the size of the wire determines the load that can be allowed through it.

The right wire size application chart should always be considered before selecting the wiring diagram or system for any building or equipment as it can help to determine the amount of voltage that can be effectively carried through it.

What is a hypothesis?
A. A piece of information gathered during an experiment
OB. A source that summarizes a primary source
O C. Something that a scientist intentionally changes during an
experiment
O D. An educated guess about the outcome of an experiment

Answers

Answer:

D!!!!!

Explanation:

A hypothesis is a supposition or proposed explanation made on the basis of limited evidence as a starting point for further investigation.

Answer:

D. An educated guess about the outcome of an experiment.

Explanation:

Hypothesis is an educated guess about the outcome of an experiment.

Hope this helps ;) ❤❤❤

what is the best defintion of efficency

Answers

Answer: Efficiency signifies a peak level of performance that uses the least amount of inputs to achieve the highest amount of output.

Explanation: It minimizes the waste of resources such as physical materials, energy, and time while accomplishing the desired output.

Answer:

The efficiency of a simple machine is defined as the ratio of useful work done by the machine ( output work) to the total work out into the machine ( input work).

Explanation:

Efficiency

If a machine overcomes a load ' L ' and the distance travelled by the load is 'Ld' , the work done by the load is L× LD. It is also called output work or useful work.

Therefore, [tex] \boxed{Output \: work \: = L \: \times \: Ld}[/tex]

Likewise, The effort applied to overcome the load is 'E' and the distance covered by effort is 'Ed' , the work done by effort is E × Ed. It is also called input work.

Therefore, [tex] \boxed{Input \: work = E \times Ed}[/tex]

The efficiency of a simple machine is defined as the ratio of output work to the input work .

Therefore, [tex] \boxed{Efficiency ( η)= \frac{outpt \: work}{input \: work} \times 100\%}[/tex]

Efficiency is expressed in percentage. It is a ratio of two works. A machine is never 100% efficient. It is because no machine is friction free and due to friction, some of the input energy is wastes in the form of heat energy.

[tex] \mathrm{Hope \: I \: helped!}[/tex]

[tex] \mathrm{Best \: regards!}[/tex]

A train travels southwest from point A to point B through the Arizona desert at 55 mi/h. How far will the train travel six-and-a-half hours?

Answers

Answer:

  357.5 miles

Explanation:

  distance = speed × time

  distance = (55 mi/h) × 6.5 h = 357.5 mi

The train will travel 357.5 miles in 6.5 hours.

solve for x, x=2.7(35)+1/2(-9.7)*35^2 ​

Answers

The answer is:

-5846.75

is the body temperature of every person 37 degree Celsius. Why? ​

Answers

Answer:

Scientists have found the reason why our body temperature is 98.6°farehenheit (37°c). Apparently it's the perfect balance as it's warm enough to prevent fungal infection but not so hot that we need to eat nonstop to maintain our metabolism. ... So we know we need a higher body temperature to ward off fungal infection.

fill in the blanks

1.)Seed drill is used for ____ of the seeds.

2.)ploughing helps the_____of roots of the growing plants.

3.)Tilling of the soil is also called a ________.

4.)Manure and fertilizers are use ti maintain the______of the soil.

5.)A most common weedicide is________.

6.)After harvesting,grains are separated from the chaffand hay by _______ or by using ______.

7.)The economial methods of irrigation are_____and____.

8.)The wild plants which grow along with the main crop are called_________.

9.) Shifting of tiny plants from a nursery to the main field is called______.

10.) Excess water and wet soil do not permit proper_____of the seeds or roots of the plants.​

Answers

Answer:

1.) Sowing

2.) Respiration

3.) Soil preparation or cultivation or ploughing

4.) Fertility

5.) 2, 4 -D

6.) winnowing threshers

7.) Surface irrigation and sprinkler irrigation

8.) Weeds

9.) Transplantation

10.) Aeration

Explanation:

1.) Seed drill sows crop seed

2.) Ploughing assist in the respiration and penetration of the roots of a growing plants

3.) Tilling the soil is breaking of the soil lumps and turning of the soil

4.) Manure and fertilizers supply nutrient to the soil for the uptake by plant in food production

5.) 2, 4 -D are a range of weedicide containing 2,4-D as the active ingredient

6.) Winnowing is the separation of grain from straw

Threshers remove seeds from husks and stalks

7.) Surface irrigation -gravity enables the flow of the water

and sprinkler irrigation- Use of preset tools for irrigation

8.) Weeds are the unwanted, in situ, growing plants close to the crops

9.) Transplantation is the method of relocating plants

10.) Excess water limits access of the roots and seeds to atmospheric oxygen

At what altitude the value of ‘g’ would become one fourth (¼)of the surface of the earth?

Answers

Answer:

Explanation:

For acceleration due to gravity g , the expression is

g = GM / R² , where G is gravitational constant M is mass of the earth and R is radius of the earth .

At height h , let the value of it becomes g / 4 , so

g / 4 = GM / ( R + h )²

dividing

4 = [( R+ h)² / R² ]

2 = (R + h) / R

2 = 1 + h / R

h / R = 1

h = R

So at height equal to radius of the earth , acceleration due to gravity becomes 1 /4 of value on the surface of the earth .

A model rocket blasts off from the ground, rising straight upward with a constant acceleration that has a magnitude of 76.8 m/s2 for 1.99 seconds, at which point its fuel abruptly runs out. Air resistance has no effect on its flight. What maximum altitude (above the ground) will the rocket reach?

Answers

Answer:

Explanation:

Take note that when the fuel of the rocket is consumed, the acceleration would be zero. However, at this phase the rocket would still be moving up until all the forces of gravity would dominate and change the direction of the rocket. Hence, there will be a need to calculate two distances, one from the ground until the point where the fuel is consumed and from that point to the point where the gravity would change the direction.

Given:

a = 76.8 m/s^2

t = 1.99 s

Solution:

d = vi (t) + 0.5 (a) (t^2)

d = (0) (1.99) + 0.5 (76.8) (1.99)^2

d = 0+38.4×3.9601

d = 152.068m

vf = vi + at

vf = 0 + 76.8 (1.99)

vf = 152.83 m/s (velocity when the fuel is consumed completely)

Then, we calculate the time it takes until it reaches the maximum height.

vf = vi + at

0 = 152.83+(-9.8) (t)

0 = 152.83 + (-9.8) (t)

-152.83 = -9.8t

t = 152.83/9.8 s

t = 15.59s

Then, the second distance

d= vi (t) + 0.5 (a) (t^2)

d = 152.83 (15.59) + 0.5 (-9.8) (15.59^2)

d = 2382.6197- 1190.93

d = 1191.68m

Then, we determine the maximum altitude:

d1 + d2 = 152.068 m + 1191.68m = 1343.748m

If you look at faint stars, you can see them more easily on the edges of your vision than if you try to look directly at them. Why is this true?

Answers

Answer:

The retina comprises of rod and cone cells . The rod cells are responsible for black and white vision and require low light levels while the cone cells are responsible for color vision and require good/high light levels for better functioning.

When faint stars are looked at on the edges of the vision it allows more light from faint objects to strike the rod cells which then becomes more visible.

an astronaut takes a tuning fork with her to the moon she strikes it inside the cabin the cabin is normally filled with air so the humans inside the spacecraft are comfortable she also strikes it outside the spacecraft when she gets down on the surface of the moon which of the following is true about the tuning fork?
A: it does not vibrate inside the spacecraft
B: id does not vibrate on moon surface
C: it vibrations are not transmitted inside the spacecraft
D:it's vibrations are not transmitted to the moon's atmosphere

Answers

Answer:

The correct option is;

D: Its vibrations are not transmitted to the moon's atmosphere

Explanation:

A tuning fork is used to produce sound by vibration  such that the tune produced is pure

The tune, sound, produced by the tuning fork is transmitted as sound wave through the air by means of the gases of the air as a transmission medium so people at a distance that have air around them can hear the tuning fork sound

On the Moon's surface, the atmosphere is very and it is referred to technically as an exosphere, so the sound of the tuning fork has no medium through which to transmit and therefore, it is not transmitted on the Moon's atmosphere.

You have a hot reservoir held at 30°C and a cold reservoir held at 0°C. If you move 400 J of heat from the hot reservoir to the cold reservoir, what is the total change in entropy?

Answers

Answer:

Explanation:

Given the following :

Temperature (Th) of hot reservoir = 30°C (30 +273) = 303K

Temperature (Tc) of cold reservoir = 0°C (273K)

Quantity (Q) of heat transferred from hot reservoir = 400 J

Total change in entropy (ΔStotal) :

ΔStotal = ΔShot + ΔScold

ΔS = Q/T

Hot reservoir is losing 400J of heat ;

Q = - 400 J

ΔShot = Q/Th

ΔShot = - 400/303

ΔShot = - 1.32 J/K

ΔScold = Q/T

ΔScold = 400 / 273

ΔScold = 1.47 J/K

ΔStotal = ΔShot + ΔScold

ΔStotal = - 1.32 + 1.47

ΔS total = 0.15 J/K

Answer:

-400/303 = -1.32

400/273 = 1.47

-1.32 + 1.47 =

.15 J/K

Explanation:

a p e x

A fish inside the water 12cm below the surface looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 the radius of circle is​

Answers

Answer:

13.6 cm

Explanation:

From Snell's law:

n₁ sin θ₁ = n₂ sin θ₂

In the air, n₁ = 1, and light from the horizon forms a 90° angle with the vertical, so sin θ₁ = sin 90° = 1.

Given n₂ = 4/3:

1 = 4/3 sin θ

sin θ = 3/4

If x is the radius of the circle, then sin θ is:

sin θ = x / √(x² + 12²)

sin θ = x / √(x² + 144)

Substituting:

3/4 = x / √(x² + 144)

9/16 = x² / (x² + 144)

9/16 x² + 81 = x²

81 = 7/16 x²

x ≈ 13.6

How many centimeters (cm) are in 1 mile? _
Knowns:
1.61 kilometer (km) = 1 mile
1000 meter (m) = 1 kilometer (km)
100 centimeter (cm) - 1 m

Answers

Answer:

161,000 cm

Explanation:

1 mi × (1.61 km/mi) × (1000 m/km) × (100 cm/m) = 161,000 cm

As a way of determining the inductance of a coil used in a research project, a student first connects the coil to a 5.62 V battery and measures a current of 0.698 A. The student then connects the coil to a 35.1 V(rms), 93.1 Hz generator and measures an rms current of 0.36 A. What is the inductance

Answers

Answer:

Its inductance L = 166 mH

Explanation:

Since a current, I = 0.698 A is obtained when a voltage , V = 5.62 V is applied, the resistance of the coil is gotten from V = IR

R = V/I = 5.62/0.698 = 8.052 Ω

Since we have a current of I' = 0.36 A (rms) when a voltage of V' = 35.1 V (rms) is applied, the impedance Z of the coil is gotten from

V₀' = I₀'Z where V₀ = maximum voltage = √2V' and I₀ = maximum current = √2I'

Z = V'/I' = √2 × 35.1 V/√2 × 0.36 V = 97.5 Ω

WE now find the reactance X of the coil from

Z² = X² + R²

X = √(Z² - R²)

= √(97.5² - 8.05²)

= √(9506.25 - 64.8025)

= √9441.4475

= 97.17 Ω

Now, the reactance X = 2πfL where f = frequency of generator = 93.1 Hz and L = inductance of coil.

L = X/2πf

= 97.17/2π(93.1 Hz)

= 97.17 Ω/584.965 rad/s

= 0.166 H

= 166 mH

Its inductance L = 166 mH

A bicycle has a momentum of 36 kg • m/s and a velocity of 4 m/s. What is the mass of the bicycle? 9 kg 32 kg 40 kg 144 kg

Answers

Answer:

9 kg

Explanation:

Momentum is mass times velocity.

p = mv

36 kgm/s = m (4 m/s)

m = 9 kg

The mass of the bicycle is 9 kg.

Momentum of the bicycle

The momentum of the bicycle is the product of mass and velocity of the bicycle.

P = mv

where;

P is momentumm is mass v is velocity

m = P/v

m = 36/4

m = 9 kg

Thus, the mass of the bicycle is 9 kg.

Learn more about momentum here: https://brainly.com/question/7538238

A space rocket accelerates uniformly from rest to 160ms^-1 upwards in 4.0s, then travels with a constant speed of 160ms^-1 for the next 5.0s.
What is the initial acceleration of the rocket?

Answers

Answer:

40 ms¯².

Explanation:

To solve this problem, we shall illustrate the question with a diagram.

The attached photo gives a better understanding of the question.

From the attached photo:

Velocity (v) = 160 ms¯¹

Time (t) = 4 secs.

Acceleration (a) =?

Acceleration (a) = Velocity (v) /time (t)

a = v/t

a = 160/4

a = 40 ms¯²

Therefore, the initial acceleration of the rocket is 40 ms¯².

prove p=f/a science chapter pressure​

Answers

Explanation:

Let 'F' be force acting perpendicularly, 'A' be the area and 'P' be the pressure exerted.

Then,

Pressure is directly proportional to the the force acting perpendicularly i.e.

P ∝ F ............. (i)

Pressure is inversely proportional to the area on which force acts i.e.

P ∝ 1/A ........... (ii)

Combining equations (i) and (ii),

P ∝ F/A

or, P = K × F/A [where K is a constant]

If F is 1N, A is 1m² and P is 1 N/m², then K is 1.

So, P = F/A proved...

It takes Serina 1.72 hours to drive to school. Her route is 47 km long. What is Serina's average speed on her drive to school? Your Answer :

Answers

Explanation:

Average speed = distance / time

v_avg = 47 km / 1.72 hr

v_avg = 27.3 km/hr

state the reason why wick lamps are made of cotton

Answers

Answer:

Reason:- We use cotton to make the wick of a spirit lamp because cotton has thread strands which act like fine capillaries and help in drawing up a steady supply of oil in the lamp for burning by capillary action

Explanation:

if a direction is somewhere between North and East it is measured in _____?

Answers

Answer:

degrees

Explanation:

If a direction is somewhere between north and east, it is measured in degrees.

This measurement will be possible thanks to the existence of geographical coordinates that are some 'imaginary lines' that help us find our location on the earth's surface. These lines are called latitude and longitude, both of which are measured in degrees.

It is like a sea battle game where you have to combine the rows and columns in order to identify where the targets are located. Geographic coordinates work the same way, you must combine the rows and columns of the planisphere to identify the locations of the planet. So the lines would be the latitudes and the columns the longitudes.

Help!!! Line B touches the circle at a single point. Line A extends through the center of the circle.
I. What is line b in reference to the circle?
2. How large is the angle between lines A and B?

Answers

Answer:

If I understand correctly. Line B is parallel to the circle. Also, the angle is less than 90.

The size of the circle determines. The diameter should not be fixed either.

'Circle' is characterized as "a two-dimensional geometric figure comprising of the set of all those points in a plane that are at equal distance from the center."

1). Line B would be considered as the 'tangent' in association with the given circle.

2). The angle lying among the lines A and B would be of 90° i.e. right angle.

Given that,

A circle with line A drawn through its center

Line B moves while touching the edge of the circle and intersects line A outside the circle.

Since 'Tangent' is described as a 'straight-line touching the curve at one point without crossing it,' thus, line B would be considered as the tangent of the circle as it touches the circle's curve once. The angle that is formed at the intersection of the line A and B at the curve of the circle would be a right angle because they are perpendicular to one another. Thus, the perpendicular lines A and B form an angle of 90°.

Learn more about 'circle' here:

brainly.com/question/11833983

Six members of a synchronized swim team wear earplugs to protect themselves against water pressure at depths, but they can still hear the music and perform the combinations in the water perfectly. One day, they were asked to leave the pool so the dive team could practice a few dives, and they tried to practice on a mat, but seemed to have a lot more difficulty. Why might this be

Answers

Answer:

The sound travels differently in different medium according the density of the medium.

Explanation:

The sound travels faster in dense medium and can be heard by the vibration of the bone present in the ear. The ear plugs reduce the sound intensity in both medium water and on land (air).

In air the sound is not heard properly due to the earplugs that stops the as the vibration are not able to produce as sound is not able to reach to middle ear, but Navy researchers have discovered that sound under water is heard by the bone present behind the ear, vibrations mastoid.

Ken received a 66 on his first math exam, which counted for 20% of his final grade; he now believes that he won't be able to pass the class. His conclusion best illustrates a pessimistic outlook. the fight-or-flight response. problem-focused coping. relative deprivation.

Answers

Answer:

His conclusion best illustrates a pessimistic outlook.

Explanation:

As seen in the question above, Ken got 20% of his final grade in the first test he did for this class, that is, there will be other tests that can provide him to reach the grade needed to pass the class. However, even if there are possibilities, he believes that he will not pass the class, he does not have a positive and optimistic view of his future in this class and is sure that he will fail. This negative view of the future is an example of a pessimistic outlook.

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It results in a dominant trait. The alleles are found on the X or Y chromosome. The resulting trait is influenced by multiple alleles. It is affected by alleles on at least three different chromosomes. In brief state what happens when a) dry apricots are left transferred to sugar solution? b) a Red Blood Cell is kept in concentrated saline solution? c) the Plasma-membrane of a cell breaks down? d) rheo leaves are boiled in water first and then a drop of sugar syrup is put on it? e) golgi apparatus is removed from the cell? Simplify 2x + 5x^3 + 3x - 4x^3 All-Mart Discount Stores Corporation contracts to buy ten acres from Suburban Enterprises, Inc., as a site for a new store. The contract calls for a "warranty deed." According to a survey that All-Mart commissions, one corner of an adjacent, enclosed parking lot is on part of the property that Suburban is attempting to convey. Can All-Mart avoid the contract? If so, on what basis? If not, why not? Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 8 sin(xy), (0, 9) Question 3 of 10Read this example:Topic: You are giving a speech to review the new comedyplaying at the local movie theater.Which tone is most appropriate for the topic?A. Light and humorousO B. Warm and respectfulC. Technical and academicO D. Dark and dramaticHELP !! find the value of X? P(x) =2x3 -11x2 -4x +1 g(x) =2x +1 Use the quadratic function to predict f(x) if x equals 2. f(x) = 3x2 + 180x 285 consider the polynomial 8x^3+2x^2-20x-5 factor Read the following letter carefully before you choose your answer. The following is a letter written by an already established Voltaire to a young and newly published author, M. Helvetius, in 1739. (1) My dear friendthe friend of Truth and the Musesyour Epistle is full of bold reasoning in advance of your age, and still more in advance of those craven writers who rhyme for the book-sellers and restrict themselves within the compass of a royal censor, who is either jealous of them, or more cowardly than they are themselves. (2) What are they but miserable birds, with their wings close clipped, who, longing to soar, are for ever falling back to earth, breaking their legs! You have a fearless genius, and your work sparkles with imagination. I much prefer your generous faults to the mediocre prettinesses with which we are cloyed. If you will allow me to tell you where I think you can improve yourself in your art, I should say: Beware, lest in attempting the grand, you overshoot the mark and fall into the grandiose: only employ true similes: and be sure always to use exactly the right word. (3) Shall I give you an infallible little rule for verse? Here it is. When a thought is just and noble, something still remains to be done with it: see if the way you have expressed it in verse would be effective in prose: and if your verse, without the swing of the rhyme, seems to you to have a word too manyif there is the least defect in the constructionif a conjunction is forgottenif, in brief, the right word is not used, or not used in the right place, you must then conclude that the jewel of your thought is not well set. Be quite sure that lines which have any one of these faults will never be learnt by heart, and never re-read: and the only good verses are those which one rereads and remembers, in spite of oneself. There are many of this kind in your "Epistle"lines which no one else in this generation can write at your age such as were written fifty years ago. (4) Do not be afraid, then, to bring your talents to a Parnassus1; they will undoubtedly redound to your credit because you never neglect your duties; for them: they are themselves very pleasant duties. Surely, those your position demand of you must be very uncongenial to such a nature as yours. They are as much routine as looking after a house, or the housebook of one's steward. Why should you be deprived of liberty of thought because you happen to be a farmer-general2? Atticus was a farmer-general, the old Romans were farmers-general, and they thoughtas Romans. Go ahead, Atticus. 1A sacred mountain in Greece, known as the home of the Muses of Greek poetry 2A privileged member of French society who collected taxes on behalf of the king Paragraph 2 could be used to support which of the following claims about the writer's tone? His tone when discussing Helvetius's work is obsequious and flattering. His tone when discussing Helvetius's work is patronizing and demeaning. His tone when discussing the works of others is critical and analytical. His tone when discussing the works of others is deferential and complimentary.