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  4. Four pendulums A, B, C and D are suspended from the same elastic support as shown in figure. A and C are of the same length, while B is smaller than A and D is larger than A. If A is given a transverse displacement, <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/5a737ad778801e2f1a9fbeff4292a65e-.png />

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Q. Four pendulums $A, B, C$ and $D$ are suspended from the same elastic support as shown in figure. $A$ and $C$ are of the same length, while $B$ is smaller than $A$ and $D$ is larger than $A$. If $A$ is given a transverse displacement,
image

Oscillations

Solution:

Since length of pendulums $A$ and $C$ is same and $ T = 2\pi \sqrt {\frac{L}{g}}$, hence their time period is same and they will have same frequency of vibration. Due to it, a resonance will take place and the pendulum $C$ will vibrate with maximum amplitude.