Chapter 25, Problem 33A

Carmelita swings to and fro in a sitting position on a playground swing. William says that if she stands while swinging, a longer time will occur between back-and-forth swings. Carlos says no, that the to-and-fro time of the swing will be unaffected. Who, if either, do you agree with?

To determine

To identify: Whether person W or person C is correct.

Answer to Problem 33A

Both are incorrect.

Explanation of Solution

Introduction:

In pendulum oscillation, the shorter the length of the pendulum, the shorter will be the time taken in completing one cycle.

The center of gravity of person Ca and the pivot of the swing have lesser distance. So, it does not matter if person Ca is standing or sitting while swinging, the duration of the back and forth movement of the swing will be shorter. Thus, disagree with both W’s and C’s arguments.

Conclusion:

Person Ca will take a shorter time in completing one cycle of to and fro movement. Thus, disagree with both W’s and C’s arguments.