In the diagram given below $A, B, C a n d D$ are four pendulums suspended from the same elastic string $P Q$ . The length of $A a n d C$ are equal to each other while the length of pendulum $B$ is smaller than that of $D$ . Pendulum $A$ is set into a mode of vibrations.
What is the state of pendulum $C$ ?

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Solution

In the given questions length of pendulums $A a n d C$ are equal. So, vibrations are set in the pendulum $A$ is transfer to the pendulum $C$ .
After some time pendulum $C$ vibrates with some amplitude as the pendulum $A$ , because the length of the pendulums $A a n d C$ are equal.
Therefore it is the case of resonance as the length of the pendulum are same.
Hence, the state of the pendulum $C$ is resonance.

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