Question 1

Two vectors lying in the xy plane are given by the equations   and   . The value of   is:

Accepted Answer

A) 19   
B) (-11   ) 
C) (-19   ) 
D) 11   
E) 10   
A) 19   
B) (-11   ) 
C) (-19   ) 
D) 11   
E) 10

Question 2

A wheel starts from rest and rotates with a constant angular acceleration about a fixed axis. It completes the first revolution 6.0 s after it started. How long after it started will the wheel complete the second revolution?

Accepted Answer

A) 9.9 s 
B) 7.8 s 
C) 8.5 s 
D) 9.2 s 
E) 6.4 s 
A) 9.9 s 
B) 7.8 s 
C) 8.5 s 
D) 9.2 s 
E) 6.4 s

Question 3

When a wheel is rolling without slipping, the magnitude of its velocity relative to the ground is greatest at:

Accepted Answer

A) the point in contact with the ground. 
B) the point at the centre of the wheel. 
C) the point at the top of the wheel opposite to the point in contact with the ground. 
D) the point farthest forward from the centre of mass of the wheel. 
E) the point farthest behind the centre of mass of the wheel. 
A) the point in contact with the ground. 
B) the point at the centre of the wheel. 
C) the point at the top of the wheel opposite to the point in contact with the ground. 
D) the point farthest forward from the centre of mass of the wheel. 
E) the point farthest behind the centre of mass of the wheel.

Question 4

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

Accepted Answer

A) the body is moving at constant velocity but is not rotating. 
B) the body is rotating at constant angular velocity but has no linear velocity. 
C) the body has neither linear nor angular velocity. 
D) the body may have constant linear or angular velocity, but not both simultaneously. 
E) the body will have constant linear and constant angular velocity. 
A) the body is moving at constant velocity but is not rotating. 
B) the body is rotating at constant angular velocity but has no linear velocity. 
C) the body has neither linear nor angular velocity. 
D) the body may have constant linear or angular velocity, but not both simultaneously. 
E) the body will have constant linear and constant angular velocity.

Question 5

Two vectors lying in the xz plane are given by the equations   and   . The value of   is:

Accepted Answer

A)    
B)    
C) 7   
D) (-7  ) 
E)    
A)    
B)    
C) 7   
D) (-7  ) 
E)

Question 6

Two people are on a ride where the inside cars rotate at constant angular velocity three times the constant angular velocity of the outer cars. If the two cars are in line at t = 0, and moving at 3$ \omega $ and $ \omega $respectively, at what time will they next pass each other?

Accepted Answer

A) t = 0. 
B) t =   . 
C) t =   . 
D) t =   . 
E) t =   . 
A) t = 0. 
B) t =   . 
C) t =   . 
D) t =   . 
E) t =   .

Question 7

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, $\theta$ = 40 $\degree$) acts as shown, what is the resulting angular acceleration about the pivot point?

Accepted Answer

A) 16 rad/s2 
B) 12 rad/s2 
C) 14 rad/s2 
D) 10 rad/s2 
E) 33 rad/s2 
A) 16 rad/s2 
B) 12 rad/s2 
C) 14 rad/s2 
D) 10 rad/s2 
E) 33 rad/s2

Two vectors lying in the xy plane are given by the equations and . The value of is:

A wheel starts from rest and rotates with a constant angular acceleration about a fixed axis. It completes the first revolution 6.0 s after it started. How long after it started will the wheel complete the second revolution?

When a wheel is rolling without slipping, the magnitude of its velocity relative to the ground is greatest at:

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

Two vectors lying in the xz plane are given by the equations and . The value of is:

Two people are on a ride where the inside cars rotate at constant angular velocity three times the constant angular velocity of the outer cars. If the two cars are in line at t = 0, and moving at 3 $\omega$ and $\omega$ respectively, at what time will they next pass each other?

Physics and Measurement

Motion in One Dimension

Motion in Two Dimensions

Forces and Newtons Laws

Further Applications of Newtons Laws

Work, Force and Energy

Conservation of Energy

Linear Momentum and Collisions

Energy and Momentum in Rotating Systems

Gravity

Special Relativity

Fluid Statics

Fluid Dynamics

Solids

Oscillatory Motion

Wave Motion

Superposition and Interference

Heat and Temperature

Energy Transfer Processes and Thermodynamics

The Kinetic Theory of Gases

The Second Law of Thermodynamics, Heat Engines and Entropy

Filters

Exam 9: Rotational Motion

Two vectors lying in the xy plane are given by the equations and . The value of is:

A wheel starts from rest and rotates with a constant angular acceleration about a fixed axis. It completes the first revolution 6.0 s after it started. How long after it started will the wheel complete the second revolution?

When a wheel is rolling without slipping, the magnitude of its velocity relative to the ground is greatest at:

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

Two vectors lying in the xz plane are given by the equations and . The value of is:

Two people are on a ride where the inside cars rotate at constant angular velocity three times the constant angular velocity of the outer cars. If the two cars are in line at t = 0, and moving at 3 ω \omega ω and ω \omega ω respectively, at what time will they next pass each other?

Physics and Measurement

Motion in One Dimension

Motion in Two Dimensions

Forces and Newtons Laws

Further Applications of Newtons Laws

Work, Force and Energy

Conservation of Energy

Linear Momentum and Collisions

Energy and Momentum in Rotating Systems

Gravity

Special Relativity

Fluid Statics

Fluid Dynamics

Solids

Oscillatory Motion

Wave Motion

Superposition and Interference

Heat and Temperature

Energy Transfer Processes and Thermodynamics

The Kinetic Theory of Gases

The Second Law of Thermodynamics, Heat Engines and Entropy

Filters

Two people are on a ride where the inside cars rotate at constant angular velocity three times the constant angular velocity of the outer cars. If the two cars are in line at t = 0, and moving at 3 $\omega$ and $\omega$ respectively, at what time will they next pass each other?