Question

Five pendulums 1, 2, 3,4 and 5 are suspended from the same elastic support as shown in the diagram. 1 and 4 are of the same length. 5 is longer than 2 ,,, 3 is smaller than 2. If 1 is given a transverse displacement. 

Which pendulum will vibrate with maximum amplitude & Why?

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Answer 1

Answer:

The correct answer is 4 .

Answer 2

Pendulums 1 and 4 will vibrate with maximum amplitude.

1. As 1 is given a transverse displacement, the movement will be transferred to all the pendulums.
2. As per the given information, 1 and 4 are of the same length. This will result in the same time period and hence frequency.
3. Further, this condition will result in resonance.
4. The resonance will lead to maximum amplitude. Thus, pendulums 1 and 4 will have maximum amplitude.

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