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 positive, its angular velocity is positive, and its angular acceleration is negative. The sphere is
a.
rotating clockwise and slowing down.
b.
rotating counterclockwise and slowing down.
c.
rotating clockwise and speeding up.
d.
rotating counterclockwise and speeding up.
e.
first rotating clockwise and then counterclockwise.
[Ques. 2] Which of the following diagrams shows the greatest magnitude net torque with a zero net force? All the rods, of length 2
r, 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 2
F and all distances from the axis are
r or
r/2.
a.
b.
c.
d.
e.
[Ques. 3] Exhibit 12-1
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 12-1. How many revolutions does she complete in the 16-minute period?
a.
8
b.
12
c.
16
d.
20
e.
40
[Ques. 4] Exhibit 12-1
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 12-1. How many revolutions does she complete in the first 12 minutes?
a.
4
b.
8
c.
12
d.
16
e.
32
[Ques. 5] Exhibit 12-1
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 12-1. What is her angular displacement (in rad) in the 16-minute period shown in the graph?
a.
0
b.
16
c.
32
d.
40
e.
64
[Ques. 6] Exhibit 12-1
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 12-1. What is her angular displacement (in rad) in the first 12 minutes?
a.
0
b.
2
c.
4
d.
16
e.
32
[Ques. 7] Exhibit 12-1
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 12-1. What is her angular displacement (in rad) in the first 8 minutes?
a.
0
b.
c.
4
d.
8
e.
16
[Ques. 8] Two forces of magnitude 50 N, as shown in the figure below, act on a cylinder of radius 4 m and mass 6.25 kg. The cylinder, which is initially at rest, sits on a frictionless surface. After 1 second, the velocity and angular velocity of the cylinder in m/s and rad/s are respectively
a.
v = 0;
= 0.
b.
v = 0;
= 4.
c.
v = 0;
= 8.
d.
v = 8;
= 8.
e.
v = 16;
= 8.
[Ques. 9] You throw a Frisbee of mass
m and radius
r so that it is spinning about a horizontal axis perpendicular to the plane of the Frisbee. Ignoring air resistance, the torque exerted about its center of mass by gravity is
a.
0.
b.
mgr.
c.
2
mgr.
d.
a function of the angular velocity.
e.
small at first, then increasing as the Frisbee loses the torque given it by your hand.
[Ques. 10] The graphs below show angular velocity as a function of time. In which one is the magnitude of the angular acceleration constantly decreasing?
a.
b.
c.
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