GP: Rotational Kinematics Practice #2 Name: _________________________________

AP Physics 1 – McNutt Date: ___________ Period: __________

Use this information for questions #1-2:

A solid cylinder rotates with constant angular acceleration about a fixed axis. The cylinder’s moment of inertia (I) about the axis is 5.0 kg-m2. At time t = 0 s, the cylinder is at rest. At time, t = 2.0 s, its angular velocity is 1.0 rad/s.

1. What is the angular acceleration of the cylinder between t = 0 s and t = 2 s?

A) 0.5 rad/s2

B) 1.0 rad/s2

C) 2.0 rad/s2

D) 4.0 rad/s2

2. What is the angular momentum of the cylinder at t = 2 s?

A) 3.0 kg-m2/s

B) 4.0 kg-m2/s

C) 5.0 kg-m2/s

3. A force of magnitude, F is applied to a doorknob and a second force of magnitude, 2F is

applied to the same door at the middle of the door. Both forces are perpendicular to the door plane. Which of the following is the correct ratio between the torque of the first force and the torque of the second force?

A) 1:2 B) 1:1 C) 2:1 D) 4:1

4. A force of magnitude, F is applied to a doorknob and a second force of magnitude, 5F is

applied to the same door at the middle of the door. Both forces are perpendicular to the door plane. Which of the following is the correct ratio between the torque of the first force and the torque of the second force?

E) 1:2 F) 1:1 G) 2:1 H) 4:1

AP Physics 1: PRACTICE ROTATIONAL KINEMATICS Q’S

Equation to Solve: Show Your Work: Answer:

Equation to Solve: Show Your Work: Answer:

Illustration of Door & Forces: Explain your Answer:

Illustration of Door & Forces: Explain your Answer:

Questions 5-6:

5. A solid disc with a radius, R, rotates at a constant rate, ω. Which of the

points on the above diagram have the greatest angular displacement?

A) A B) B C) C D) Points A, B and C have the same angular displacement.

6. A solid disc with a radius, R, rotates at a constant rate, ω. Which of the following equals the

period of the rotation?

A) 2πω B) ω/2π C) 2π/ω D) 2ω

Free Response - Solve this problem, showing all work.

a. On the diagrams below, draw and label all the forces acting on the block and the pulley.

b. Use the free body diagrams to write each of the following:

i. The equation of translational motion for the block.

ii. The analogous equation for the rotational motion of the pulley.

Explain Your Answer:

Explain Your Answer:

A uniform solid cylinder of mass M and radius R is mounted on frictionless bearings about a fixed axis through the center of the cylinder. The moment of inertia of the cylinder about the axis is ½MR

2. A

block of mass m, suspended by a cord wrapped around the cylinder as shown to the right, is released. State all answers (aside from part b) in terms of M, m, R, and g.