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In the diagram below, A, B, C, D are four pendulums suspended from the same elastic string PQ. The length of A and C are equal to each other while the length of pendulum B is smaller than that of D. Pendulum A is set in to a mode of vibrations. 

1. Name the type of vibrations taking place in pendulums B and D? 

2. What is the state of pendulum C? 

3. State the reason for the type of vibrations in pendulums B and C.

1 Answer

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1. The vibrations which occur in pendulums B and D are called forced vibrations. 

2. Pendulum C is in the state of resonance with pendulum A as it is of the same length. 

3. The pendulums vibrate because the forced vibration from A is transferred due to string PQ. Pendulum B is of a different length as compared to pendulum A. Hence, it will continuously vibrate with a frequency which is different from that of pendulum A. Its amplitude will also be very small. 

Pendulum C is of the same length as compared to pendulum A. Hence, it will vibrate in phase with pendulum A. Its amplitude will be equal to that of pendulum A as it will attain resonance. 

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