A flywheel 6 ft in diameter accelerates from rest at a constant rate of 0.314 rad/s^2. Compute the angular displacement traveled by a point on the rim of the flywheel after 10 seconds.
A. 6.28 rad
B. 12.6 rad
C. 15.7 rad
D. 31.4 rad
E. 62.8 rad
2. Two pans of equal masses are suspended on the same side of a long rigid rod, that is supported by a string at its center (pivot). The distance of pan 1 and pan 2 from the pivot is 10 cm and 20 cm, respectively. What is the BEST thing to do to achieve static equilibrium without changing the distance of each pan from the pivot?
A. Move the pivot closer to pan 1
B. Move the pivot closer to pan 2
C. Add masses on pan 1 until equilibrium is reached
D. Add masses on pan 2 until equilibrium is reached
E. Static equilibrium cannot be achieved
3. Which of the following cannot apply for an object at rotational equilibrium?
A. Net torque is zero
B. Constant angular velocity
C. Increasing moment of inertia
D. Decreasing angular momentum
E. C and D
4. A 0.1 kg box is attached to an inextensible massless string that is in contact with a cylindrical pulley (mass = 0.5 kg and radius = 0.2 m). While the box is moving downwards at a constant speed, it makes the pulley rotate about its center. Assuming the string does not slip,
FIGURE: [Link to the figure]
What is the magnitude of the angular acceleration of the pulley about its center?
A. 4 rad/s^2
B. 8 rad/s^2
C. 10 rad/s^2
D. 20 rad/s^2
E. 40 rad/s^2