Displacement versus time curve for a particle executing S.H.M. is… - Vidyadip

Question

Displacement versus time curve for a particle executing S.H.M. is shown in Fig. Identify the points marked at which,

Velocity of the oscillator is zero,
Speed of the oscillator is maximum.

✓

Answer

Key concept: In displacement-time graph of SHM, zero displacement values correspond to mean position; where velocity of the oscillator is maximum. Whereas the crest and troughs represent amplitude positions, where displacement is maximum and velocity of the oscillator is zero.

The points A, C, E, G lie at extreme positions (maximum displacement, y = A). Hence the velocity of the oscillator is zero.
The points B, D, F, H lie at mean position (zero displacement, y = 0). We know the speed is maximum at mean position.

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