Question 1

The angular speed of the hour hand of a clock,in rad/s,is

Accepted Answer

A)  $\frac { 1 } { 7200 } \pi$ . 
B)  $\frac { 1 } { 1800 } \pi$ . 
C)  $\frac { 1 } { 30 } \pi$ . 
D) 1 800 $\pi$. 
E) 7 200 $\pi$. 
A)  $\frac { 1 } { 7200 } \pi$ . 
B)  $\frac { 1 } { 1800 } \pi$ . 
C)  $\frac { 1 } { 30 } \pi$ . 
D) 1 800 $\pi$. 
E) 7 200 $\pi$.

Question 2

At t = 0,a wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity of 2.0 rad/s.Two seconds later it has turned through 5.0 complete revolutions.What is the angular acceleration of this wheel?

Accepted Answer

A) 17 rad/s2 
B) 14 rad/s2 
C) 20 rad/s2 
D) 23 rad/s2 
E) 13 rad/s2 
A) 17 rad/s2 
B) 14 rad/s2 
C) 20 rad/s2 
D) 23 rad/s2 
E) 13 rad/s2

Question 3

The diagram below shows five 20-kg rods of the same 2.0-m length free to rotate about axes through the rods,as indicated.Which rod experiences the greatest magnitude gravitational torque?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 4

Four identical particles (mass of each = 0.40 kg)are placed at the vertices of a rectangle (2.0 m * 3.0 m)and held in those positions by four light rods which form the sides of the rectangle.What is the moment of inertia of this rigid body about an axis that passes through the mid-points of the longer sides and is parallel to the shorter sides?

Accepted Answer

A) 2.7 kg.m2 
B) 3.6 kg.m2 
C) 3.1 kg.m2 
D) 4.1 kg.m2 
E) 1.6 kg.m2 
A) 2.7 kg.m2 
B) 3.6 kg.m2 
C) 3.1 kg.m2 
D) 4.1 kg.m2 
E) 1.6 kg.m2

Question 5

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 the horizontal position.What is the angular acceleration of the rod at the instant the rod makes an angle of 70$\degree$ with the horizontal?

Accepted Answer

A) 3.7 rad/s2 
B) 1.3 rad/s2 
C) 2.5 rad/s2 
D) 4.9 rad/s2 
E) 1.9 rad/s2 
A) 3.7 rad/s2 
B) 1.3 rad/s2 
C) 2.5 rad/s2 
D) 4.9 rad/s2 
E) 1.9 rad/s2

Question 6

At t = 0,a wheel rotating about a fixed axis at a constant angular acceleration of -0.40 rad/s2 has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad.What is the angular position of the wheel at t = 2.0 s?

Accepted Answer

A) 4.9 rad 
B) 4.7 rad 
C) 4.5 rad 
D) 4.3 rad 
E) 4.1 rad 
A) 4.9 rad 
B) 4.7 rad 
C) 4.5 rad 
D) 4.3 rad 
E) 4.1 rad

Question 7

A particle of mass m = 0.10 kg and speed v0 = 5.0 m/s collides and sticks to the end of a uniform solid cylinder of mass M = 1.0 kg and radius R = 20 cm.If the cylinder is initially at rest and is pivoted about a frictionless axle through its center,what is the final angular velocity (in rad/s)of the system after the collision?

Accepted Answer

A) 8.1 
B) 2.0 
C) 6.1 
D) 4.2 
E) 10 
A) 8.1 
B) 2.0 
C) 6.1 
D) 4.2 
E) 10

Question 8

A wheel rotates about a fixed axis with a constant angular acceleration of 4.0 rad/s2.The diameter of the wheel is 40 cm.What is the linear speed of a point on the rim of this wheel at an instant when that point has a total linear acceleration with a magnitude of 1.2 m/s2?

Accepted Answer

A) 39 cm/s 
B) 42 cm/s 
C) 45 cm/s 
D) 35 cm/s 
E) 53 cm/s 
A) 39 cm/s 
B) 42 cm/s 
C) 45 cm/s 
D) 35 cm/s 
E) 53 cm/s

Question 9

Exhibit 11-1 
Two blocks of masses mS1U1B11S1U1B0 and mS1U1B12S1U1B0 are connected by a light cord that passes over a pulley of mass M,as shown.Block mS1U1B12S1U1B0 slides on a frictionless horizontal surface.The blocks and pulley are initially at rest.When mS1U1B11S1U1B0 is released,the blocks accelerate and the pulley rotates.The total angular momentum of the system of the two blocks and the pulley relative to the axis of rotation of the pulley is   Use this exhibit to answer the following question(s).
-Refer to Exhibit 11-1.The total angular momentum of the system of the two blocks and the pulley relative to the axis of rotation of the pulley is

Accepted Answer

A) proportional to the radius of the pulley. 
B) proportional to the speed of the blocks. 
C) proportional to the length of the string. 
D) to all of the above. 
E) only to (a)and (b)above. 
A) proportional to the radius of the pulley. 
B) proportional to the speed of the blocks. 
C) proportional to the length of the string. 
D) to all of the above. 
E) only to (a)and (b)above.

Question 10

A hockey puck traveling at speed v on essentially frictionless ice collides elastically with one end of a straight stick lying flat on the ice.In this collision

Accepted Answer

A) momentum is conserved. 
B) angular momentum is conserved. 
C) energy is conserved. 
D) all of the above are conserved. 
E) only momentum and angular momentum are conserved. 
A) momentum is conserved. 
B) angular momentum is conserved. 
C) energy is conserved. 
D) all of the above are conserved. 
E) only momentum and angular momentum are conserved.

Question 11

A rigid rod of length l rotates about an axis perpendicular to the rod,with one end of the rod fixed to the axis.Which of the following are equal at all points on the rod? 
I. The angular position
II. The angular velocity
III. The angular acceleration
IV. The centripetal acceleration
V. The tangential acceleration

Accepted Answer

A) I and II 
B) I,II,and III 
C) I,II,III and IV 
D) I,II,III,IV and V 
E) I,II and IV. 
A) I and II 
B) I,II,and III 
C) I,II,III and IV 
D) I,II,III,IV and V 
E) I,II and IV.

Question 12

A mass m = 4.0 kg is connected,as shown,by a light cord to a mass M = 6.0 kg,which slides on a smooth horizontal surface.The pulley rotates about a frictionless axle and has a radius R = 0.12 m and a moment of inertia I = 0.090 kg.m2.The cord does not slip on the pulley.What is the magnitude of the acceleration of m?

Accepted Answer

A) 2.4 m/s2 
B) 2.8 m/s2 
C) 3.2 m/s2 
D) 4.2 m/s2 
E) 1.7 m/s2 
A) 2.4 m/s2 
B) 2.8 m/s2 
C) 3.2 m/s2 
D) 4.2 m/s2 
E) 1.7 m/s2

Question 13

A torque can be exerted on a body with a fixed axis of rotation

Accepted Answer

A) only by a centripetal force. 
B) only by a force directed radially outwards. 
C) only by a tangential force. 
D) only by a force with a component directed radially outwards. 
E) by any force not pointing directly toward or away from the axis of rotation. 
A) only by a centripetal force. 
B) only by a force directed radially outwards. 
C) only by a tangential force. 
D) only by a force with a component directed radially outwards. 
E) by any force not pointing directly toward or away from the axis of rotation.

Question 14

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?

Accepted Answer

The answer of A uniform solid sphere rolls without slipping...

Question 15

Five identical cylinders are each acted on by forces of equal magnitude.Which force exerts the biggest torque about the central axes of the cylinders?

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

A 3.0-kg particle has a position vector given by $\overrightarrow { \mathbf { r } } = \left( 2.0 t ^ { 2 } \hat { \mathbf { i } } + 3.0 \hat { \mathbf { j } } \right)$ where $\overrightarrow { \mathbf { r } }$ is in meters and t is in seconds.What is the angular momentum of the particle,in kg.m2/s,about the origin at t = 2 s?

Accepted Answer

A) 72 $\hat { k }$ 
B) -72 $\hat { k }$ 
C) 24 $\hat { k }$ 
D) -24 $\hat { k }$ 
E) 22 $\hat { k }$ 
A) 72 $\hat { k }$ 
B) -72 $\hat { k }$ 
C) 24 $\hat { k }$ 
D) -24 $\hat { k }$ 
E) 22 $\hat { k }$

Question 17

Which of the following diagrams shows the greatest magnitude net torque with a zero net force? All the rods,of length 2r,rotate about an axis that is perpendicular to the rod and fixed in the center of the rod.All the forces are of magnitude F or 2F and all distances from the axis are r or r/2.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 18

The angular speed of the minute hand of a clock,in rad/s,is

Accepted Answer

A)  $\frac { 1 } { 1800 } \pi$ . 
B)  $\frac { 1 } { 60 } \pi$ . 
C)  $\frac { 1 } { 30 } \pi$ . 
D)  $\pi$. 
E) 120 $\pi$. 
A)  $\frac { 1 } { 1800 } \pi$ . 
B)  $\frac { 1 } { 60 } \pi$ . 
C)  $\frac { 1 } { 30 } \pi$ . 
D)  $\pi$. 
E) 120 $\pi$.

Question 19

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 16 minute period shown in the graph?

Accepted Answer

A) 0 
B) 16 $\pi$ 
C) 32 $\pi$ 
D) 40 $\pi$ 
E) 64 $\pi$ 
A) 0 
B) 16 $\pi$ 
C) 32 $\pi$ 
D) 40 $\pi$ 
E) 64 $\pi$

Question 20

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$\degree$above the horizontal.What is the angular acceleration of the rod at the instant it is released?

Accepted Answer

A) 4.7 rad/s2 
B) 6.9 rad/s2 
C) 6.4 rad/s2 
D) 5.6 rad/s2 
E) 4.2 rad/s2 
A) 4.7 rad/s2 
B) 6.9 rad/s2 
C) 6.4 rad/s2 
D) 5.6 rad/s2 
E) 4.2 rad/s2

Exam 10: Rotational Motion

The angular speed of the hour hand of a clock,in rad/s,is

At t = 0,a wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity of 2.0 rad/s.Two seconds later it has turned through 5.0 complete revolutions.What is the angular acceleration of this wheel?

The diagram below shows five 20-kg rods of the same 2.0-m length free to rotate about axes through the rods,as indicated.Which rod experiences the greatest magnitude gravitational torque?

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 the horizontal position.What is the angular acceleration of the rod at the instant the rod makes an angle of 70 °\degree° with the horizontal?

At t = 0,a wheel rotating about a fixed axis at a constant angular acceleration of -0.40 rad/s2 has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad.What is the angular position of the wheel at t = 2.0 s?

A wheel rotates about a fixed axis with a constant angular acceleration of 4.0 rad/s2.The diameter of the wheel is 40 cm.What is the linear speed of a point on the rim of this wheel at an instant when that point has a total linear acceleration with a magnitude of 1.2 m/s2?

A hockey puck traveling at speed v on essentially frictionless ice collides elastically with one end of a straight stick lying flat on the ice.In this collision

A torque can be exerted on a body with a fixed axis of rotation

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?

Five identical cylinders are each acted on by forces of equal magnitude.Which force exerts the biggest torque about the central axes of the cylinders?

Which of the following diagrams shows the greatest magnitude net torque with a zero net force? All the rods,of length 2r,rotate about an axis that is perpendicular to the rod and fixed in the center of the rod.All the forces are of magnitude F or 2F and all distances from the axis are r or r/2.

The angular speed of the minute hand of a clock,in rad/s,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 16 minute period shown in the graph?

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 °\degree° above the horizontal.What is the angular acceleration of the rod at the instant it is released?

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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 the horizontal position.What is the angular acceleration of the rod at the instant the rod makes an angle of 70 $\degree$ with the horizontal?

At t = 0,a wheel rotating about a fixed axis at a constant angular acceleration of -0.40 rad/s² has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad.What is the angular position of the wheel at t = 2.0 s?

A wheel rotates about a fixed axis with a constant angular acceleration of 4.0 rad/s².The diameter of the wheel is 40 cm.What is the linear speed of a point on the rim of this wheel at an instant when that point has a total linear acceleration with a magnitude of 1.2 m/s²?

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 $\degree$ above the horizontal.What is the angular acceleration of the rod at the instant it is released?