Problem: A pulley of mass M and radius R pivots freely about its center with Icm = kM R  2, where k is some numerical constant. A string is attached to a mass m and run over the pulley as in the sketch. If a downward force F is applied by your hand to the string, find a, the acceleration of the block in terms of F, m, M, k and g only. Take upward to be positive. 1. a = F + mg/ (k + 1) m 2. a = F - mg/ kM - m 3. a = F - mg/ (k + 1) M 4. a = F - mg/ (kM + m) 5. a = F - mg/ kM - m 6. a = F - mg/ (k + 1) m 7. a = F - mg/ (k - 1) M 8. a = F + mg/ (k + 1) M 9. a = F - mg/ (k - 1) m 10. a = F + mg/ kM + m

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Problem Details

A pulley of mass M and radius R pivots freely about its center with Icm = kM R  2, where k is some numerical constant. A string is attached to a mass m and run over the pulley as in the sketch. If a downward force F is applied by your hand to the string, find a, the acceleration of the block in terms of F, m, M, k and g only. Take upward to be positive.

1. a = F + mg/ (k + 1) m

2. a = F - mg/ kM - m

3. a = F - mg/ (k + 1) M

4. a = F - mg/ (kM + m)

5. a = F - mg/ kM - m

6. a = F - mg/ (k + 1) m

7. a = F - mg/ (k - 1) M

8. a = F + mg/ (k + 1) M

9. a = F - mg/ (k - 1) m

10. a = F + mg/ kM + m

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Torque on Pulley Systems concept. If you need more Torque on Pulley Systems practice, you can also practice Torque on Pulley Systems practice problems.

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Based on our data, we think this problem is relevant for Professor Paban's class at TEXAS.