A horizontal disk with a radius of 10 cm rotates about a vertical axis through its center.The disk starts from rest at t = 0 and has a constant angular acceleration of 2.1 rad/s2.At what value of t will the radial and tangential components of the linear acceleration of a point on the rim of the disk be equal in magnitude?

A) 0.55 s B) 0.63 s C) 0.69 s D) 0.59 s E) 0.47 s A) 0.55 s B) 0.63 s C) 0.69 s D) 0.59 s E) 0.47 s

The graph below shows a plot of angular acceleration in rad/s2 versus time from t = 0 s to t = 8 s.The change in angular velocity,Δω,during this 8-second period is

A) ,CW. B) ,CCW. C) ,CW. D) ,CCW. E) ,CW. A) ,CW. B) ,CCW. C) ,CW. D) ,CCW. E) ,CW.

The graph below shows a plot of angular acceleration in rad/s2 versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is ,CCW.The angular velocity,ω,at t = 8 s is

A) ,CW. B) ,CCW. C) ,CW. D) ,CCW. E) ,CW. A) ,CW. B) ,CCW. C) ,CW. D) ,CCW. E) ,CW.

Exam 10: Rotation of a Rigid Object About a Fixed Axis

A horizontal disk with a radius of 10 cm rotates about a vertical axis through its center.The disk starts from rest at t = 0 and has a constant angular acceleration of 2.1 rad/s².At what value of t will the radial and tangential components of the linear acceleration of a point on the rim of the disk be equal in magnitude?

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Question 21

A uniform meter stick is pivoted to rotate about a horizontal axis through the 25-cm mark on the stick.The stick is released from rest in a horizontal position.The moment of inertia of a uniform rod about an axis perpendicular to the rod and through the center of mass of the rod is given by (1/12)ML².Determine the magnitude of the initial angular acceleration of the stick.

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Question 22

A rod of length 1.00 m has a mass per unit length given by ,where is in kg/m.The rod is placed on the x axis going from x = 0.00 m to x = 1.00 m.What is the moment of inertia of the rod in kg m² about the y axis?

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Question 23

A uniform rod of mass M = 1.2 kg and length L = 0.80 m,lying on a frictionless horizontal plane,is free to pivot about a vertical axis through one end,as shown.The moment of inertia of the rod about this axis is given by (1/3)ML².If a force (F = 5.0 N,θ = 40°)acts as shown,what is the resulting angular acceleration about the pivot point?

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Question 24

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -The angular speed of the hour hand of a clock,in rad/min,is

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Question 25

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -Refer to Exhibit 10-1.What is her angular displacement (in rad)in the first 12 minutes?

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Question 26

The graph below shows a plot of angular acceleration in rad/s² versus time from t = 0 s to t = 8 s.The change in angular velocity,Δω,during this 8-second period is

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Question 27

A wheel (radius = 0.20 m)is mounted on a frictionless,horizontal axis.A light cord wrapped around the wheel supports a 0.50-kg object,as shown in the figure.When released from rest the object falls with a downward acceleration of 5.0 m/s².What is the moment of inertia of the wheel?

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Question 28

When the sum of the external forces and the sum of the external torques on a body are both zero,we can conclude that

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Question 29

The graphs below show angular velocity as a function of time.In which one is the magnitude of the angular acceleration constantly decreasing?

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Question 30

The graph below shows a plot of angular acceleration in rad/s² versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is ,CCW.The angular velocity,ω,at t = 8 s is

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Question 31

Exhibit 10-2 The figure below shows a graph of angular velocity versus time for a man bicycling around a circular track. Use this exhibit to answer the following question(s). -Refer to Exhibit 10-2.What is his average angular acceleration,in rad/s²,in the period from t = 6 min to t = 8 min?

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Question 32

Two particles (m₁ = 0.20 kg,m₂ = 0.30 kg)are positioned at the ends of a 2.0-m long rod of negligible mass.What is the moment of inertia of this rigid body about an axis perpendicular to the rod and through the center of mass?

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Question 33

A uniform solid sphere rolls without slipping along a horizontal surface.What fraction of its total kinetic energy is in the form of rotational kinetic energy about the CM?

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Question 34

A uniform rod is 2.0 m long.The rod is pivoted about a horizontal,frictionless pin through one end.The rod is released from rest at an angle of 30° above the horizontal.What is the angular acceleration of the rod at the instant it is released?

(Multiple Choice)

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Question 35

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -The angular speed of the minute hand of a clock,in rad/s,is

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Question 36

Exhibit 10-3 The graph below shows a plot of angular velocity in rad/s versus time in s from t = 0 s to t = 7 s. Use this exhibit to answer the following question(s). -Refer to Exhibit 10-3.The angular position,θ,at t = 0 s is 3.0 rad,clockwise.The angular position,θ,at t = 7 s is

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Question 37

A small sphere attached to a light rigid rod rotates about an axis perpendicular to and fixed to the other end of the rod.Relative to the positive direction of the axis of rotation,the angular positions of the sphere are negative,its angular velocity is negative,and its angular acceleration is positive.The sphere is

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Question 38

A wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s².In a 4.0-s interval the wheel turns through an angle of 80 radians.Assuming the wheel started from rest,how long had it been in motion at the start of the 4.0-s interval?

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Question 39

If M = 0.50 kg,L = 1.2 m,and the mass of each connecting rod shown is negligible,what is the moment of inertia about an axis perpendicular to the paper through the center of mass? Treat the mass as particles.

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Question 40

Showing 21 - 40 of 82

Exam 10: Rotation of a Rigid Object About a Fixed Axis

A rod of length 1.00 m has a mass per unit length given by ,where is in kg/m.The rod is placed on the x axis going from x = 0.00 m to x = 1.00 m.What is the moment of inertia of the rod in kg m2 about the y axis?

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -The angular speed of the hour hand of a clock,in rad/min,is

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -Refer to Exhibit 10-1.What is her angular displacement (in rad)in the first 12 minutes?

The graph below shows a plot of angular acceleration in rad/s2 versus time from t = 0 s to t = 8 s.The change in angular velocity,Δω,during this 8-second period is

A wheel (radius = 0.20 m)is mounted on a frictionless,horizontal axis.A light cord wrapped around the wheel supports a 0.50-kg object,as shown in the figure.When released from rest the object falls with a downward acceleration of 5.0 m/s2.What is the moment of inertia of the wheel?

When the sum of the external forces and the sum of the external torques on a body are both zero,we can conclude that

The graphs below show angular velocity as a function of time.In which one is the magnitude of the angular acceleration constantly decreasing?

The graph below shows a plot of angular acceleration in rad/s2 versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is ,CCW.The angular velocity,ω,at t = 8 s is

Exhibit 10-2 The figure below shows a graph of angular velocity versus time for a man bicycling around a circular track. Use this exhibit to answer the following question(s). -Refer to Exhibit 10-2.What is his average angular acceleration,in rad/s2,in the period from t = 6 min to t = 8 min?

Two particles (m1 = 0.20 kg,m2 = 0.30 kg)are positioned at the ends of a 2.0-m long rod of negligible mass.What is the moment of inertia of this rigid body about an axis perpendicular to the rod and through the center of mass?

A uniform solid sphere rolls without slipping along a horizontal surface.What fraction of its total kinetic energy is in the form of rotational kinetic energy about the CM?

A uniform rod is 2.0 m long.The rod is pivoted about a horizontal,frictionless pin through one end.The rod is released from rest at an angle of 30° above the horizontal.What is the angular acceleration of the rod at the instant it is released?

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -The angular speed of the minute hand of a clock,in rad/s,is

Exhibit 10-3 The graph below shows a plot of angular velocity in rad/s versus time in s from t = 0 s to t = 7 s. Use this exhibit to answer the following question(s). -Refer to Exhibit 10-3.The angular position,θ,at t = 0 s is 3.0 rad,clockwise.The angular position,θ,at t = 7 s is

A wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s2.In a 4.0-s interval the wheel turns through an angle of 80 radians.Assuming the wheel started from rest,how long had it been in motion at the start of the 4.0-s interval?

If M = 0.50 kg,L = 1.2 m,and the mass of each connecting rod shown is negligible,what is the moment of inertia about an axis perpendicular to the paper through the center of mass? Treat the mass as particles.

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A rod of length 1.00 m has a mass per unit length given by ,where is in kg/m.The rod is placed on the x axis going from x = 0.00 m to x = 1.00 m.What is the moment of inertia of the rod in kg m² about the y axis?

The graph below shows a plot of angular acceleration in rad/s² versus time from t = 0 s to t = 8 s.The change in angular velocity,Δω,during this 8-second period is

A wheel (radius = 0.20 m)is mounted on a frictionless,horizontal axis.A light cord wrapped around the wheel supports a 0.50-kg object,as shown in the figure.When released from rest the object falls with a downward acceleration of 5.0 m/s².What is the moment of inertia of the wheel?

The graph below shows a plot of angular acceleration in rad/s² versus time from t = 0 s to t = 8 s.The angular velocity at t = 0 s is ,CCW.The angular velocity,ω,at t = 8 s is

Exhibit 10-2 The figure below shows a graph of angular velocity versus time for a man bicycling around a circular track. Use this exhibit to answer the following question(s). -Refer to Exhibit 10-2.What is his average angular acceleration,in rad/s²,in the period from t = 6 min to t = 8 min?

Two particles (m₁ = 0.20 kg,m₂ = 0.30 kg)are positioned at the ends of a 2.0-m long rod of negligible mass.What is the moment of inertia of this rigid body about an axis perpendicular to the rod and through the center of mass?

A wheel rotating about a fixed axis has a constant angular acceleration of 4.0 rad/s².In a 4.0-s interval the wheel turns through an angle of 80 radians.Assuming the wheel started from rest,how long had it been in motion at the start of the 4.0-s interval?