First slide

Simple harmonic motion

Question

The displacement time graph of a particle executing S.H.M. is as shown in the figure
The corresponding force-time graph of the particle is

Moderate

A
B
C
D

Solution

Acceleration $= - ω^{2} y .$ So $F = - {mω}^{2} y$
y is sinusoidal function.
So F will be also sinusoidal function with phase difference $π$

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