Use the figure on the below to answer the next problem. A mass m = 0.5 kg is hung from a pulley with moment of inertia I = 0.20kg.mS1U1P12S1S1P0 and radius R = 10cm. There is friction in the pulley. The mass is dropped from rest, and after 2s it traveled 4m. -What is the angular acceleration of the pulley?

A) 2 rad/s2 B) 5 rad/s2 C) 10 rad/s2 D) 20 rad/s2 E) 40 rad/s2 A) 2 rad/s2 B) 5 rad/s2 C) 10 rad/s2 D) 20 rad/s2 E) 40 rad/s2

A cord attached to a 3.63-kg mass is wrapped around a wheel of radius 0.610 m and released.The moment of inertia of the wheel is 2.71 kg · m2.If the wheel rotates on frictionless bearings,the acceleration of the falling weight is

A) 3.26 m/s2 B) 1.04 m/s2 C) 2.44 m/s2 D) 1.95 m/s2 E) 4.27 m/s2 A) 3.26 m/s2 B) 1.04 m/s2 C) 2.44 m/s2 D) 1.95 m/s2 E) 4.27 m/s2

Exam 9: Rotation

A 7.00-kg mass and a 4.00-kg mass are mounted on a spindle free to turn about the x axis as shown.Assume the mass of the arms and the spindle to be negligible.The rotational inertia of this system is approximately

(Multiple Choice)

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Question 21

A uniform cylinder (I = mR²)of diameter 0.20 m and mass 12 kg rolls without slipping down a 37º inclined plane.The gain in translational kinetic energy of the cylinder when it has rolled 5 m down the incline of the plane is approximately

(Multiple Choice)

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Question 22

The time period for the rotation of the conical pendulum moving in a horizontal circle (bob mass = M,string length L,and vertical half angle $\theta$ ; see figure)is given by the expression: $The time period for the rotation of the conical pendulum moving in a horizontal circle (bob mass = M,string length L,and vertical half angle \theta ; see figure)is given by the expression:$

(Multiple Choice)

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Question 23

A solid sphere (I = 0.4MR²)of radius 0.06 m and mass 0.50 kg rolls without slipping 14m down a 30º inclined plane.At the bottom of the plane,the linear velocity of the center of mass of the sphere is approximately

(Multiple Choice)

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Question 24

A wheel is rotating at 30 rev/min.The angular velocity of the wheel is

(Multiple Choice)

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Question 25

A hoop of radius 3.05 n has a mass of 145 kg.Its moment of inertia is mR².The hoop rolls without slipping along a horizontal plane.If the center of mass of the hoop has a speed of 0.305 m/s,the work required to bring the hoop to rest is

(Multiple Choice)

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Question 26

The torque exerted on a perfectly spherical orbiting communications satellite by the gravitational pull of the earth is

(Multiple Choice)

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Question 27

A 0.3-kg object is being whirled in a horizontal circle at the end of a 1.5 m long string.If the string breaks when the number of revolutions per minute,rpm = 200,then find the maximum tension in the string.

(Multiple Choice)

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Question 28

In the laboratory,a solid cylinder is permitted to roll down a plane inclined at an angle with the horizontal.If no slipping occurs,which of the following is true?

(Multiple Choice)

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Question 29

Use the figure on the below to answer the next problem. A mass m = 0.5 kg is hung from a pulley with moment of inertia I = 0.20kg.m² and radius R = 10cm. There is friction in the pulley. The mass is dropped from rest, and after 2s it traveled 4m. -What is the angular acceleration of the pulley?

(Multiple Choice)

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Question 30

A yoyo with moment of inertia I and mass m is hung using a light string over a frictionless pulley.A force F is applied to the other end of the string.The yoyo is allowed to unwind.As the yoyo unwinds,the force needed to stop the pulley from rotating is _____ the weight mg.

(Multiple Choice)

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Question 31

You are pedaling a bicycle at 9.8 m/s.The radius of the wheels of the bicycle is 51.9cm.The angular velocity of rotation of the wheels is

(Multiple Choice)

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Question 32

Two points,A and B,are on a disk that rotates about an axis.Point A is three times as far from the axis as point B.If the speed of point B is v,then what is the speed of point A?

(Multiple Choice)

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Question 33

A solid spherical ball of mass M and radius R rolls without slipping down an inclined plane from a height h.Compare the center of mass speed of the ball at the bottom of the plane with the speed obtained if the ball were simply dropped from a height h.

(Multiple Choice)

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Question 34

A particle is moving uniformly in a circle of radius 50 cm.Its angular velocity is 96 rad/s.The linear speed of the particle is

(Multiple Choice)

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Question 35

A turntable has an angular velocity of 1.4 rad/s.The coefficient of static friction between the turntable and a block placed on it is 0.20.The maximum distance from the center of the turntable that the block can be placed without sliding is approximately

(Multiple Choice)

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Question 36

A solid cylinder,a hollow cylinder,and a square block of equal masses are released at the top of an inclined plane.The cylinders roll down and the block slides down,all with negligible frictional losses.In what order will they arrive at the bottom?

(Multiple Choice)

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Question 37

A wheel slows from 20 rad/s to 12 rad/s in 5 s under the influence of a constant frictional torque.In these 5 s,the wheel turns through an angle of

(Multiple Choice)

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Question 38

A cord attached to a 3.63-kg mass is wrapped around a wheel of radius 0.610 m and released.The moment of inertia of the wheel is 2.71 kg · m².If the wheel rotates on frictionless bearings,the acceleration of the falling weight is

(Multiple Choice)

4.8/5

(73)

Question 39

A uniform disk (I_o = ½ mR²)of mass m and radius R is suspended from a point on its rim.The moment of inertia of the disk about an axis perpendicular to the disk through the pivot point is

(Multiple Choice)

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Question 40

Showing 21 - 40 of 105

Exam 9: Rotation

A 7.00-kg mass and a 4.00-kg mass are mounted on a spindle free to turn about the x axis as shown.Assume the mass of the arms and the spindle to be negligible.The rotational inertia of this system is approximately

A uniform cylinder (I = mR2)of diameter 0.20 m and mass 12 kg rolls without slipping down a 37º inclined plane.The gain in translational kinetic energy of the cylinder when it has rolled 5 m down the incline of the plane is approximately

The time period for the rotation of the conical pendulum moving in a horizontal circle (bob mass = M,string length L,and vertical half angle θ\thetaθ ; see figure)is given by the expression:

A solid sphere (I = 0.4MR2)of radius 0.06 m and mass 0.50 kg rolls without slipping 14m down a 30º inclined plane.At the bottom of the plane,the linear velocity of the center of mass of the sphere is approximately

A wheel is rotating at 30 rev/min.The angular velocity of the wheel is

A hoop of radius 3.05 n has a mass of 145 kg.Its moment of inertia is mR2.The hoop rolls without slipping along a horizontal plane.If the center of mass of the hoop has a speed of 0.305 m/s,the work required to bring the hoop to rest is

The torque exerted on a perfectly spherical orbiting communications satellite by the gravitational pull of the earth is

A 0.3-kg object is being whirled in a horizontal circle at the end of a 1.5 m long string.If the string breaks when the number of revolutions per minute,rpm = 200,then find the maximum tension in the string.

In the laboratory,a solid cylinder is permitted to roll down a plane inclined at an angle with the horizontal.If no slipping occurs,which of the following is true?

Use the figure on the below to answer the next problem. A mass m = 0.5 kg is hung from a pulley with moment of inertia I = 0.20kg.m2 and radius R = 10cm. There is friction in the pulley. The mass is dropped from rest, and after 2s it traveled 4m. -What is the angular acceleration of the pulley?

A yoyo with moment of inertia I and mass m is hung using a light string over a frictionless pulley.A force F is applied to the other end of the string.The yoyo is allowed to unwind.As the yoyo unwinds,the force needed to stop the pulley from rotating is _____ the weight mg.

You are pedaling a bicycle at 9.8 m/s.The radius of the wheels of the bicycle is 51.9cm.The angular velocity of rotation of the wheels is

Two points,A and B,are on a disk that rotates about an axis.Point A is three times as far from the axis as point B.If the speed of point B is v,then what is the speed of point A?

A solid spherical ball of mass M and radius R rolls without slipping down an inclined plane from a height h.Compare the center of mass speed of the ball at the bottom of the plane with the speed obtained if the ball were simply dropped from a height h.

A particle is moving uniformly in a circle of radius 50 cm.Its angular velocity is 96 rad/s.The linear speed of the particle is

A turntable has an angular velocity of 1.4 rad/s.The coefficient of static friction between the turntable and a block placed on it is 0.20.The maximum distance from the center of the turntable that the block can be placed without sliding is approximately

A solid cylinder,a hollow cylinder,and a square block of equal masses are released at the top of an inclined plane.The cylinders roll down and the block slides down,all with negligible frictional losses.In what order will they arrive at the bottom?

A wheel slows from 20 rad/s to 12 rad/s in 5 s under the influence of a constant frictional torque.In these 5 s,the wheel turns through an angle of

A cord attached to a 3.63-kg mass is wrapped around a wheel of radius 0.610 m and released.The moment of inertia of the wheel is 2.71 kg · m2.If the wheel rotates on frictionless bearings,the acceleration of the falling weight is

A uniform disk (Io = ½ mR2)of mass m and radius R is suspended from a point on its rim.The moment of inertia of the disk about an axis perpendicular to the disk through the pivot point is

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A uniform cylinder (I = mR²)of diameter 0.20 m and mass 12 kg rolls without slipping down a 37º inclined plane.The gain in translational kinetic energy of the cylinder when it has rolled 5 m down the incline of the plane is approximately

A solid sphere (I = 0.4MR²)of radius 0.06 m and mass 0.50 kg rolls without slipping 14m down a 30º inclined plane.At the bottom of the plane,the linear velocity of the center of mass of the sphere is approximately

A hoop of radius 3.05 n has a mass of 145 kg.Its moment of inertia is mR².The hoop rolls without slipping along a horizontal plane.If the center of mass of the hoop has a speed of 0.305 m/s,the work required to bring the hoop to rest is

Use the figure on the below to answer the next problem. A mass m = 0.5 kg is hung from a pulley with moment of inertia I = 0.20kg.m² and radius R = 10cm. There is friction in the pulley. The mass is dropped from rest, and after 2s it traveled 4m. -What is the angular acceleration of the pulley?

A cord attached to a 3.63-kg mass is wrapped around a wheel of radius 0.610 m and released.The moment of inertia of the wheel is 2.71 kg · m².If the wheel rotates on frictionless bearings,the acceleration of the falling weight is

A uniform disk (I_o = ½ mR²)of mass m and radius R is suspended from a point on its rim.The moment of inertia of the disk about an axis perpendicular to the disk through the pivot point is