Question 1

A solid cylinder rolls without slipping down an incline as shown in the figure. The linear acceleration of its center of mass is

Accepted Answer

A)  (5/7)g sin θ 
B)  (1/2)g sin θ 
C)  (2/3)g sin θ 
D)  (3/5)g sin θ 
E)  (4/5)g sin θ 
A)  (5/7)g sin θ 
B)  (1/2)g sin θ 
C)  (2/3)g sin θ 
D)  (3/5)g sin θ 
E)  (4/5)g sin θ

Question 2

A solid sphere (radius R, mass M) rolls without slipping down an incline as shown in the figure. The linear acceleration of its center of mass is

Accepted Answer

A)  (5/7)g sin θ 
B)  (3/5)g sin θ 
C)  (2/3)g sin θ 
D)  (1/2)g sin θ 
E)  (4/5)g sin θ 
A)  (5/7)g sin θ 
B)  (3/5)g sin θ 
C)  (2/3)g sin θ 
D)  (1/2)g sin θ 
E)  (4/5)g sin θ

Question 3

If L represents angular momentum, I represents moment of inertia, p represents linear momentum, m represents mass, and r represents a distance, which of the following can represent kinetic energy?

Accepted Answer

A)  p2/2m 
B)  L2/2I 
C)  rpI 
D)  all of the above 
E)  both (a) and (b) 
A)  p2/2m 
B)  L2/2I 
C)  rpI 
D)  all of the above 
E)  both (a) and (b)

Question 4

A hockey puck traveling at speed v on essentially frictionless ice collides with one end of a straight stick lying flat on the ice and sticks to that end. 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 5

Halley's comet moves about the sun in an elliptical orbit with its closest approach to the sun being 0.59 A.U. and its furthest distance being 35 A.U. [1 Astronomical Unit (A.U.) is the Earth-sun distance.] If the comet's speed at closest approach is 54 km/s, what is its speed when it is farthest from the sun?

Accepted Answer

The answer of Halley's comet moves about the sun in...

Question 6

A skater extends her arms horizontally, holding a 5-kg mass in each hand. She is rotating about a vertical axis with an angular velocity of one revolution per second. If she drops her hands to her sides, what will the final angular velocity (in rev/s) be if her moment of inertia remains approximately constant at 5 kg⋅m2, and the distance of the masses from the axis changes from 1 m to 0.1 m?

Accepted Answer

A)  6 
B)  3 
C)  9 
D)  4 
E)  7 
A)  6 
B)  3 
C)  9 
D)  4 
E)  7

Exam 11: Angular Momentum

A solid cylinder rolls without slipping down an incline as shown in the figure. The linear acceleration of its center of mass is

A solid sphere (radius R, mass M) rolls without slipping down an incline as shown in the figure. The linear acceleration of its center of mass is

If L represents angular momentum, I represents moment of inertia, p represents linear momentum, m represents mass, and r represents a distance, which of the following can represent kinetic energy?

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

Physics and Measurement

Motion in One Dimension

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