The figure below shows a graph of angular velocity as a function of time for a car driving around a circular track. Through how many radians does the car travel in the first 10 minutes?
a.
30
b.
50
c.
70
d.
90
e.
100
[Ques. 2] 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 rotational inertia of the rod about this axis is given by (1/3)ML2. If a force (F = 5.0 N, = 40) acts as shown, what is the resulting angular acceleration about the pivot point?
a.
16 rad/s
2 b.
12 rad/s
2 c.
14 rad/s
2 d.
10 rad/s
2 e.
33 rad/s
2
[Ques. 3] The rigid object shown is rotated about an axis perpendicular to the paper and through point P. The total kinetic energy of the object as it rotates is equal to 1.4 J. If M = 1.3 kg and L = 0.50 m, what is the angular velocity of the object? Neglect the mass of the connecting rods and treat the masses as particles.
a.
1.3 rad/s
b.
1.5 rad/s
c.
1.7 rad/s
d.
1.2 rad/s
e.
2.1 rad/s
[Ques. 4] 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 rotatinal inertia
I = 0.090 kgm
2. The cord does not slip on the pulley. What is the magnitude of the acceleration of
m?
a.
2.4 m/s
2 b.
2.8 m/s
2 c.
3.2 m/s
2 d.
4.2 m/s
2 e.
1.7 m/s
2
[Ques. 5] A wheel (radius = 0.25 m) is mounted on a frictionless, horizontal axis. The rotational inertia of the wheel about the axis is 0.040 kgm
2. A light cord wrapped around the wheel supports a 0.50-kg object as shown in the figure. The object is released from rest. What is the magnitude of the acceleration of the 0.50-kg object?
a.
3.0 m/s
2 b.
3.4 m/s
2 c.
4.3 m/s
2 d.
3.8 m/s
2 e.
2.7 m/s
2
[Ques. 6] Exhibit 11-1
Two birds of prey hurtling after the same mouse collide in mid-air and grab each other with their talons. Each 250-g bird is flying at 30 m/s at a 60 angle to the ground.
Use this exhibit to answer the following question(s).
Refer to Exhibit 11-1. What is the horizontal component of their momentum, in
, immediately after the collision?
a.
0
b.
6.1
c.
7.5
d.
13
e.
15
[Ques. 7] Exhibit 11-1
Two birds of prey hurtling after the same mouse collide in mid-air and grab each other with their talons. Each 250-g bird is flying at 30 m/s at a 60 angle to the ground.
Use this exhibit to answer the following question(s).
Refer to Exhibit 11-1. What is the magnitude of their velocity, in m/s, immediately after the collision?
a.
0
b.
13
c.
15
d.
26
e.
30
[Ques. 8] Exhibit 11-1
Two birds of prey hurtling after the same mouse collide in mid-air and grab each other with their talons. Each 250-g bird is flying at 30 m/s at a
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