Problem: A simple pendulum is shown in several states. In case A the mass is traveling back down to the bottom and is in between the bottom and its max height. In case B the mass is at its max height and has a speed of zero. In case C the ball is at its lowest position.Which of the following statements about the magnitude of the mass's angular acceleration is true?a) It is maximum in case A.b) It is maximum in case B.c) It cannot be determined d) It is zero in all cases. e) It is maximum in case C.f) It is equal in all cases, but is non-zero.

🤓 Based on our data, we think this question is relevant for Professor Staff's class at UCD.

FREE Expert Solution

Force is proportional to displacement in simple harmonic motion. Force is maximum at maximum displacement.

From Newton's second law,

ΣF = mat = mαr, where α is the angular acceleration.

View Complete Written Solution
Problem Details

A simple pendulum is shown in several states. In case A the mass is traveling back down to the bottom and is in between the bottom and its max height. In case B the mass is at its max height and has a speed of zero. In case C the ball is at its lowest position.

Which of the following statements about the magnitude of the mass's angular acceleration is true?

a) It is maximum in case A.

b) It is maximum in case B.

c) It cannot be determined 

d) It is zero in all cases. 

e) It is maximum in case C.

f) It is equal in all cases, but is non-zero.

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 Simple Harmonic Motion of Pendulums concept. You can view video lessons to learn Simple Harmonic Motion of Pendulums. Or if you need more Simple Harmonic Motion of Pendulums practice, you can also practice Simple Harmonic Motion of Pendulums practice problems.

What professor is this problem relevant for?

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