The diagram shows the displacement-time graph for a vibrating body. What will happen to the vibrations of the body after some time?

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Solution

The amplitude gradually decreases and finally becomes zero as the time increases because of it vibrations will stop. Such vibrations are called damped vibrations. Damped vibrations are the periodic vibrations of decreasing amplitude in the presence of resistive force. The amplitude of motion decreases due to the friction (or resistive) force which the surrounding medium exerts on the body vibrating it. Due to this resistive force, the vibrating body continuously loses its energy in doing work against the force of friction and so its amplitude gradually decreases.

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Similar questions

The diagram in Fig. 7.13 shows the displacement-time graph of a vibrating body.

(i) Name the kind of vibrations.

(ii) Give one example of such vibrations.

(iii) Why is the amplitude of vibrations gradually decreasing ?

(iv) What happens to the vibrations of the body after some time ?

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