Moment of Inertia Atwood Machine

Let:

Mass 1 = m1 (m sub 1; can't do subscripts on this app)

Mass 2 = m2

Pulley = m3 with a moment of inertia = I

On a separate piece of paper answer the following questions.

1. Draw an arrow representing the direction each mass will accelerate.

2. Draw an arrow representing the direction the pulley will rotate.

3. Define the positive direction such that "a = (alpha)r" is valid.

4. What is the positive direction for the pulley (cw or ccw)?

5. Draw an FBD for each of the hanging masses.

6. Draw an FBD for the forces applied to the pulley.

7. Which force of tensions are the same?

8. Write a summation of forces equation for each of the hanging masses.

9. Solve each of these equations for the force of tension.

10. Write a summation of torques equation for the pulley. Be sure to keep your positive direction consistent with your answer to question number 4.

11. Combine the force equations and torque equation and solve for a. Remember a = (alpha)r

Let:

m1 = 2 kg

m2 = 6 kg

m3 = 4 kg

Calculate the acceleration of the hanging masses if the pulley is a:

a) hoop

b) disk