The
instantaneous velocity of a point on the outer edge of a disk with
a diameter of 4 m that is rotating at 120 revolutions per minute
is most nearly:
(A)
4 m/s
(B)
6 m/s
(C)
12 m/s
(D)
25 m/s
(E)
50 m/s
2.
A
washing machine, starting from rest, accelerates within 3.14 s to
a point where it is revolving at a frequency of 2.00 Hz. Its angular
acceleration is most nearly:
(A)
0.100 rad/s2
(B)
0.637 rad/s2
(C)
2.00 rad/s2
(D)
4.00 rad/s2
(E)
6.28 rad/s2
3.
What
is the direction of the angular velocity vector for the second hand
of a clock going from 0 to 30 seconds?
(A)
Outward from the clock face
(B)
Inward toward the clock face
(C)
Upward
(D)
Downward
(E)
To the right
4.
Which
of the following are means of maximizing the torque of a force applied
to a rotating object?
I. Maximize the magnitude of the applied force
II. Apply the force as close as possible to the axis of rotation
III. Apply the force perpendicular to the displacement vector
between the axis of rotation and the point of applied force
(A)
I only
(B)
II only
(C)
I and II only
(D)
I and III only
(E)
I, II, and III
5.
What
is the torque on the pivot of a pendulum of length R and
mass m, when the mass is at an angle ?
(A)
(B)
(C)
mgR sin
(D)
mgR cos
(E)
mgR tan
6.
Two objects rest on a seesaw.
The first object has a mass of 3 kg and rests 10 m from the pivot.
The other rests 1 m from the pivot. What is the mass of the second
object if the seesaw is in equilibrium?
(A)
0.3 kg
(B)
3 kg
(C)
10 kg
(D)
30 kg
(E)
50 kg
7.
What
is the angular acceleration of a 0.1 kg record with a radius of
0.1 m to which a torque of 0.05 N · m is applied? The moment of
inertia of a disk spinning about its center is 1/2MR2.
(A)
0.1 rad/s2
(B)
0.5 rad/s2
(C)
1 rad/s2
(D)
5 rad/s2
(E)
10 rad/s2
8.
A
disk of mass m and radius R rolls
down an inclined plane of height h without slipping.
What is the velocity of the disk at the bottom of the incline? The
moment of inertia for a disk is 1
/2mR2.
(A)
(B)
(C)
(D)
(E)
9.
A catapult with a basket of mass
50 kg launches a 200 kg rock by swinging around from a horizontal to
a vertical position with an angular velocity of 2.0 rad/s. Assuming
the rest of the catapult is massless and the catapult arm is 10
m long, what is the velocity of the rock as it leaves the catapult?
(A)
10 m/s
(B)
20 m/s
(C)
25 m/s
(D)
50 m/s
(E)
100 m/s
10.
How
should the mass of a rotating body of radius r be
distributed so as to maximize its angular velocity?
(A)
The mass should be concentrated at the outer edge of the
body
(B)
The mass should be evenly distributed throughout the body
(C)
The mass should be concentrated at the axis of rotation
(D)
The mass should be concentrated at a point midway between
the axis of rotation and the outer edge of the body
(E)
Mass distribution has no impact on angular velocity
?
