Consider the case in which the clay is launched along Path Y. The sphere of clay is launched with an initial velocity of v0 and collides with the rod at a distance of l from the pivot. The length of the rod is L. The rotational inertia of the rod about the joint is IR, and the mass of the clay is mc. The clay is considered a point mass. What is the angular speed f of the clay-rod system immediately after the collision

Answers

Answer 1

Answer:

    w = [tex]\frac{m}{ml^2 + I R^2 }[/tex]  v l

Explanation:

Let's form a system formed by the clay sphere and the rod, in this case the angular momentum is conserved

initial instant. Before the crash

          L₀ = m v l

Final moment. After the collision with the clay stuck to the rod

          L_f = I_{total} w

angular momentum is conserved

         L₀ = L_f

         m v l = I_total w

         w = [tex]\frac{m}{I_{total} }[/tex]  v l

the total moment of inertia is the sum of the moments of inertia of the two bodies

the moment of inertia of the rod is

        I_rod = I R²

        I_total = m l² + IR²

we substitute

          w = [tex]\frac{m}{ml^2 + I R^2 }[/tex]  v l

Answer 2

The angular speed f of the clay-rod system immediately after the collision

[tex]w=\dfrac{m}{ml^2+IR^2}VI[/tex]

What is angular speed?

Angular speed is defined as the rate of change of angular displacement,Angular Speed (ω) is the scalar measure of rotation rate. In one complete rotation, angular distance travelled is 2π and time is time period (T)

Let's form a system formed by the clay sphere and the rod, in this case the angular momentum is conserved

initial instant. Before the crash

[tex]L_o=mvl[/tex]

Final moment. After the collision with the clay stuck to the rod

[tex]L_o = L_f m v l = I_{total} w[/tex]

[tex]w=\dfrac{m}{I_{total}} Vl[/tex]

the total moment of inertia is the sum of the moments of inertia of the two bodies

the moment of inertia of the rod is

     [tex]I_rod = I R^2 I_{total} = m l^2 + IR^2[/tex]

we substitute

[tex]w=\dfrac{m}{ml^2+IR^2}VI[/tex]

Hence the angular speed f of the clay-rod system immediately after the collision

[tex]w=\dfrac{m}{ml^2+IR^2}VI[/tex]

To know more about Angular speed follow

https://brainly.com/question/6860269


Related Questions

Una persona A tiene cierta cantidad de masa y una persona B tiene la mitad de masa de la persona A ¿como es el peso de B respecto al de A?

Answers

Answer:

El peso de la persona B es la mitad del peso de la persona A.

Explanation:

El peso de la persona B puede calcularse con la siguiente ecuación:

[tex] P_{B} = m_{B}g [/tex]   (1)

En donde:

[tex]m_{B}[/tex]: es la masa de la persona B

g: es la gravedad

Dado que la persona B tiene la mitad de la masa de la persona A, tenemos:

[tex] m_{B} = \frac{m_{A}}{2} [/tex]  (2)

En donde:

[tex]m_{A}[/tex]: es la masa de la persona A

Al introducir la ecuación (2) en (1) nos queda:

[tex] P_{B} = \frac{m_{A}}{2}g [/tex]   (3)

Sabemos que el peso de la persona A está dado por:

[tex] P_{A} = m_{A}g [/tex]   (4)

Entonces, al introducir la ecuación (4) en (3) tenemos:

[tex] P_{B} = \frac{P_{A}}{2} [/tex]

Por lo tanto, el peso de la persona B es la mitad del peso de la persona A.

Espero que te sea de utilidad!

Un móvil viaja inicialmente con una velocidad de 55 m/s, al cabo de cierto tiempo, su velocidad es de 115 m/s, de repente frena bruscamente con una desaceleración de 14, 500 m/s2. ¿qué distancia recorrerá antes de frenar?

Answers

Answer:

Distancia, S = 2.84 metros

Explanation:

Dados los siguientes datos;

Velocidad inicial = 55 m/s

Velocidad final = 115 m/s

Deceleración = 14500 m/s²

Para encontrar qué tan lejos viajaría el automóvil, usaríamos la tercera ecuación de movimiento;

V² = U² + 2aS

115² = 55² + 2*14500*S

13225 = 3025 + 29000S

29000S = 13225 - 3025

29000S = 10200

S = 29000/10200

Distancia, S = 2.84 metros

explain the derivation of Newton's third and second law.​

Answers

Let FAB, be the force exerted on body B by body A and FBA be the force exerted by body B on A. Suppose that due to these forces FAB and FBA, dp1/dt and dp2/dt be the rate of the change of momentum of these bodies respectively.

Answer:

Consider an isolated system of 2 bodies A & B. An isolated system means where there is no external force acting.Now let F be the force acting on B by A & F be the force acting on A by B.Now rate of change of momentum of A =dpA/dt and rate of change of momentum of B =d pB/dt

thus FAB=d pB/dt (i)......

FBA=dpA/dt (ii)........

Adding 1 and 2 we get FAB+FBA=d pB/dt+dpA/dt =d(pB+pA)/dt

But if no force is applied momentum will also be 0 because no velocity will be there so rate of change of momentum will also be 0

thus d(pA+pB)/dt=0

therefore FAB+FBA=0

or,FAB=-FBA

(3RD LAW OF MOTION)

Which statements describe acceleration? Check all that apply. Negative acceleration occurs when an object slows down in the positive direction. Negative acceleration occurs when an object slows down in the negative direction. Negative acceleration occurs when an object speeds up in the negative direction. Positive acceleration occurs when an object speeds up in the positive direction. Positive acceleration occurs when an object speeds up in the negative direction. Positive acceleration occurs when an object slows down in the negative direction

Answers

Answer:

Negative acceleration occurs when the acceleration vector points to the left.

1. Object slowing down in the positive direction.

2. Object speeding up in the  negative direction.

Following six statements:

1. T

2. F

3. T

4. T

5. F

6. T

Check direction of acceleration vector.

when a wooden block floats in water displaces 0.006 cubic of the water find the weight of the wooden block when it is in air​

Answers

Answer:

solve it with the formula 1−0.4=0.6, 0.6Vρg=Vρbg where ρb 

Explanation:

The buoyant force acting on an immersed body is equal to the weight of the fluid displaced by it, if the fluid is in rest. In this case, the fluid is accelerating upwards so the buoyant force must also provide the displaced fluid force to accelerate. Therefore, buoyant force will be fVρgeff where V = volume of body and f = fraction of volume of body immersed in fluid and geff=g+a=1.5g.

The buoyant force acting on an immersed body is equal to the weight of the fluid displaced by it, if the fluid is in rest. In this case, the fluid is accelerating upwards so the buoyant force must also provide the displaced fluid force to accelerate. Therefore, buoyant force will be fVρgeff where V = volume of body and f = fraction of volume of body immersed in fluid and geff=g+a=1.5g.When fluid is at rest: f=

The buoyant force acting on an immersed body is equal to the weight of the fluid displaced by it, if the fluid is in rest. In this case, the fluid is accelerating upwards so the buoyant force must also provide the displaced fluid force to accelerate. Therefore, buoyant force will be fVρgeff where V = volume of body and f = fraction of volume of body immersed in fluid and geff=g+a=1.5g.When fluid is at rest: f=⇒ρb=0.6ρ.

The buoyant force acting on an immersed body is equal to the weight of the fluid displaced by it, if the fluid is in rest. In this case, the fluid is accelerating upwards so the buoyant force must also provide the displaced fluid force to accelerate. Therefore, buoyant force will be fVρgeff where V = volume of body and f = fraction of volume of body immersed in fluid and geff=g+a=1.5g.When fluid is at rest: f=⇒ρb=0.6ρ.In the second case: 1.5fVρg=Vρbg+Vρba=1.5Vρbg⇒fρ=ρb⇒f=0.6.

The buoyant force acting on an immersed body is equal to the weight of the fluid displaced by it, if the fluid is in rest. In this case, the fluid is accelerating upwards so the buoyant force must also provide the displaced fluid force to accelerate. Therefore, buoyant force will be fVρgeff where V = volume of body and f = fraction of volume of body immersed in fluid and geff=g+a=1.5g.When fluid is at rest: f=⇒ρb=0.6ρ.In the second case: 1.5fVρg=Vρbg+Vρba=1.5Vρbg⇒fρ=ρb⇒f=0.6.Thus, the fraction of immersed volume remains the same.

The buoyant force acting on an immersed body is equal to the weight of the fluid displaced by it, if the fluid is in rest. In this case, the fluid is accelerating upwards so the buoyant force must also provide the displaced fluid force to accelerate. Therefore, buoyant force will be fVρgeff where V = volume of body and f = fraction of volume of body immersed in fluid and geff=g+a=1.5g.When fluid is at rest: f=⇒ρb=0.6ρ.In the second case: 1.5fVρg=Vρbg+Vρba=1.5Vρbg⇒fρ=ρb⇒f=0.6.Thus, the fraction of immersed volume remains the same.Body will float with 40% of the volume above water surface.

What is gravitational force??​

Answers

Answer:

the force of attraction between all masses in the universe

Explanation:

Have a nice day :)

Suggest two ways in which the boy could balance the beam?

Answers

Answer:

Hope this is what you were looking for!

Explanation:

1) So, if we are talking about balancing a straight stick (beam), he could put a finger from each hand on either side of it and move them together. As a result of friction his fingers will meet at the balance point.

2) Method of trial and error.

He can balance it on his hand or look for something that can handle the weight of it

hiytreawretyuiouytrdsedrtyuiougfdgiojgfchjkljhjkl;kjhbjkljhbnjknjbnjknbvnm,nbm,nmjj

Answers

Answer:

Stimulants are a group of drugs that result in increased activity in the body. Sometimes referred to as “uppers,” these drugs are frequently abused due to their performance-enhancing and euphoric effects. Generally, those who abuse stimulants experience heightened energy levels and enhanced focus.

Stimulants speed up mental and physical processes, which can produce desirable effects in the short-term by increasing levels of dopamine in the brain. While users may feel great due to the short-term effects of stimulants, long-term abuse of these drugs can have significant consequences, which is why it is so important for those who abuse the drugs to get help as quickly as possible.

Explanation:

hope this works

I love how they said random stuff and than a response about drugs

can i have the physical science grade 12 june 2021 paper (common paper)​

Answers

Answer:

u have to purchase it via online e-commerce platforms

Answer:

what your crazy anong pong common paper

Brian has an object suspended in the air. It has a mass of 100 kg and is 25 meters above the ground. What is the object’s potential energy?

Answers

Explanation:

the PE = Weight x g x Height above ground where g is the gravitational constant (9.8m/s^2)

so tge PE = 100 x 9.8 x 25 = 24500 J

If two opposing forces are equal, then the net force is 0 N.

true or false?

Answers

Answer:

false

Explanation:

a student places 8 similar coins in a pile . the height of the pile of coins is 2.4 cm calculate the average thickness of one coin

Answers

Answer:

0.3 cm

Explanation:

[tex] \frac{2.4}{8} \\ = 0.3[/tex]

A 500 kg sports car accelerates uniformly from rest reaching a speed of 30 m/s in 6 seconds .Find the distance travelled by the car in 6 second

Answers

Answer:

the distance traveled by the sports car is 90 m

Explanation:

Given;

mass of the sports car, m = 500 kg

initial velocity of the sports car, u = 0

final velocity of the sport car, v = 30 m/s

time of motion of the car, t = 6 s

The distance traveled by the sports car is calculated as;

[tex]s = (\frac{u+v}{2} )t\\\\s = (\frac{0+30}{2} ) \times 6\\\\s = 15 \times 6\\\\s = 90 \ m[/tex]

Therefore, the distance traveled by the sports car is 90 m

Un automóvil se anuncia con una potencia de 600 hp y cuando se prueba en una subida pesada, alcanza una velocidad máxima de 45 km/h ¿cuál es la fuerza máxima que le imprime el motor?

Answers

Answer:

The force is 35808 N.

Explanation:

Power, P = 600 hp = 600 x 746 W = 447600 W

speed, v = 45 km/h = 12.5 m/s

Let the force is F.

P = F v

447600 = F x 12.5

F = 35808 N

Se conecta una pila de 1.5 volt a una luz led de color rojo, el led se enciende mientras esté conectado a la pila. De esta stuación se afirma que:

Answers

Answer:

Se requiere corriente para que brille la luz.

Explicación:

Una batería de 1,5 voltios está conectada a una luz LED roja, el LED se enciende siempre que esté conectado a la batería. A partir de esta situación se afirma que se requiere corriente para que brille la luz. La batería tiene corriente eléctrica almacenada que permite que la luz brille hasta que la corriente eléctrica esté presente en la batería. Esta batería se puede cargar durante un período de tiempo cuando está llena, se puede recuperar durante muchas horas.

Por una resistencia de 10 Ω fluyen 5A. ¿Cuál será la diferencia de potencial que se le debe aplicar a la resistencia?

Answers

Answer:

V = 50 volts

Explanation:

Given that,

Resistance, R = 10 ohms

Current, I = 5 A

We need to find the potential difference across the circuit. We know that,

V = IR

Put all the values,

V = 5 × 10

V = 50 volts

Hence, the potential difference is equal to 50 volts.

calcula el peso de una persona que viaja a la luna cuya masa es de 105 kg

Answers

Answer:

W = 170.62 N

Explanation:

The given question is, "calculate the weight of a person traveling to the moon whose mass is 105 kg".

We need to find the weight of a person on the Moon.

The weight of an object is given by :

W = mg

Where

g is acceleration due to gravity on Moon, g = 1.625 m/s2

W = 105 kg × 1.625 m/s²

W = 170.62 N

Hence, the weight of the person is 170.62 N.

calculate the density of a pure substance if 100cm cubed of it has a mass of 20 grams​

Answers

Answer:

5

Explanation:

20 x  5 = 100

What is cerebellum ?

Answers

The portion of the brain in the back of the head between the cerebrum and the brain stem. The cerebellum controls balance for walking and standing, and other complex motor functions. I hope it helped??

If he jumps from the plane with a velocity of +2 ft/s and, after 7 seconds of free fall, he has a velocity of -223ft/s, what is his displacement?

Answers

Answer:

his displacement is 772.85 ft

Explanation:

Given;

initial velocity of his jump, u = 2 ft/s

final velocity of his jump, v = - 223 ft/s

time of motion, t = 7 seconds

acceleration due to gravity, g = 32.17 ft/s²

Let downward motion = positive direction

Let his displacement after 7s = Δh

Apply the following kinematic equation to determine his displacement.

[tex]v^2 = u^2 + 2g\Delta h\\\\(-223)^2 = (2)^2 + (2\times 32.17)\Delta h\\\\49,729 = 4 + 64.34\Delta h\\\\-64.34 \Delta h = 4 - 49,729\\\\-64.34 \Delta h = -49,725\\\\\Delta h = \frac{49,725}{64.34} \\\\\Delta h = 772.85 \ ft[/tex]

Therefore, his displacement is 772.85 ft

True or False: Sound waves are the longest wave lengths on the electromagnetic spectrum.

Answers

Answer:

False:  Wave lengths on the electromagnetic spectrum are "electromagnetic",

They are transverse waves,

Sound waves are "longitudinal" waves and depend on the motion of the medium of transmission for propagation.

The lower the pH number is, the more ______ the solution.

Answers

Answer:

more acidic (less base)

hope this helps! :)

Con respecto a las magnitudes longitud del péndulo y periodo, ¿por qué la línea de mejor ajuste de los puntos-dato de la distribución indica que sí hay relación entre ambas magnitudes?

Answers

Answer:

Por que existe una relación entre dichas magnitudes.

Para un pendulo perfecto de largo L, sabemos que el periodo esta definido como:

[tex]T = 2*\pi *\sqrt{L/g}[/tex]

Donde:

pi = 3.14

L = largo del péndulo

g = aceleración gravitatoria = 9.8 m/s^2

Entonces podemos ver que el periodo es proporcional a la raíz cuadrada de la longitud del péndulo.

Esto es por lo que al analizar datos de un experimento se debería observar una relación entre esas magnitudes.

PLEASE HELP ME!

1. Figure 5.20 shows a graph of displacement against time for a wave.

(a) What is meant by amplitude?

(b) Determine the period of oscillation, T. Then, calculate the frequency of oscillation.

2. Compare and contrast progressive wave and stationary wave.​

Answers

Answer:

a) A = 3 cm,  b)  T = 0.4 s,   f = 2.5 Hz,

2) A standing wave the displacement of the wave is canceled and only one oscillation remains

Explanation:

a) in an oscillatory movement the amplitude is the highest value of the signal in this case

          A = 3 cm

b) the period of oscillation is the time it takes for the wave to repeat itself in this case

          T = 0.4 s

the period is the inverse of the frequency

         f = 1 /T

         f = 1 /, 0.4

         f = 2.5 Hz

2) a traveling wave is a wave for which as time increases the displacement increases, in the case of a transverse wave the oscillation is perpendicular to the displacement and in the case of a longitudinal wave the oscillation is in the same direction of the displacement.

A standing wave occurs when a traveling wave bounces off some object and there are two waves, one that travels in one direction and the other that travels in the opposite direction. In this case, the displacement of the wave is canceled and only one oscillation remains.

For its size, the common flea is one of the most accomplished jumpers in the animal world. A 2.50-mm-long, 0.460 mg flea can reach a height of 15.0 cm in a single leap. a) Calculate the kinetic energy per kilogram of mass. b) If a 79.0 kg, 2.00-m-tall human could jump to the same height compared with his length as the flea jumps compared with its length, how high could the human jump

Answers

Answer:

1.47 J/kg

120 m

Explanation:

The maximum height it can jump in a single leap 15 cm, = 0.15 m

to get the kinetic energy per kg of mass, we need to find the takeoff speed. The take off speed can be calculated by using the formula

v = [tex]\sqrt{2gh}[/tex]

where h = 0.15

v = [tex]\sqrt{2 * 9.81 * 0.15}[/tex]

v = [tex]\sqrt{2.94}[/tex]

v = 1.715 m/s

energy per kg of mass =

1/2 * (1.715) = 1.47 J/Kg

TJe height a human can jump when compared to the flea is

2 m/2.5 mm * 15 cm =

2/0.0025 *0.15 =

800 * 0.15 = 120 m

What 3 factors should be considered when designing a lighting rod?

Answers

Explanation:

A lightning rod (US, AUS) If lightning hits the structure:-

It will preferentially strike the rod and be conducted to ground through a wire.

Instead of passing through the structure, where it could start a fire or cause electrocution.

The parts of a lightning protection system are air terminals (lightning rods or strike) and all of the connectors and supports to complete the system.

A puppy finds a rawhide bone and begins to pull it with a force, Ft. The free-body diagram is shown.


Which describes what happens to the bone?

Answers

Answer:

it begins to move to the right! :)

(2²)⁴pepelelellelrle​

Answers

2^8, 2 to the 8th power , applying laws of exponents you have to multiply 2 times 4

explain the working principle of the moving coil coil galvanometer​

Answers

Answer:

When a current-carrying coil is suspended in a uniform magnetic field it is acted upon by a torque. Under the action of this torque, the coil rotates and the deflection in the coil in a moving coil galvanometer is directly proportional to the current flowing through the coil.

calculate the density of a solid of mass 20kg if it occupies a volume of 4m³​

Answers

Answer:

Density=Mass/Volume

            =20/4 kg/m^3

            =5 kg/m^3

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