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Observe the diagram which shows four pendulums suspended from a flexible string tied between fixed support. With respect to the diagram answer the questions that follow:-

i) Name the pendulum with maximum frequency and the pendulum with minimum frequency.
ii) Which pendulum /s will start vibrating if pendulum A is disturbed once and name the vibrations of pendulum A.
iii) When pendulum D is disturbed once then all the remaining pendulums start vibrating. Name the vibration in each of these pendulums.​

1 Answer

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(i) Frequency f of the simple pendulum  :

Hence frequency is inversely proportional to square root of length. Pendulam-C will have maximum frequency

Pendulam-A will have minimum frequency

(ii) If Pendula-A starts vibrating , all remaining pendulams B , C and D will be vibrating 

Vibrations of pendulam-A :- natural vibration

(iii) If Pendula-D starts vibrating , all remaining pendulams A, B and C  will be vibrating 

Vibrations of pendulam A, B and C  :- forced vibration

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