The displacement time graph of a particle executing S.H.M. is given in figure: (sketch is schematic and not to scale)
Which of the following statements is/are true for this motion?
(A) The force is zero at $t = \frac{3 T}{4}$
(B) The acceleration is maximum at t = T
(C) The speed is maximum at $t = \frac{T}{4}$
(D) The P.E. is equal to K.E. of the oscillation at $t = \frac{T}{2}$

Question

The displacement time graph of a particle executing S.H.M. is given in figure: (sketch is schematic and not to scale)

Which of the following statements is/are true for this motion?

(A) The force is zero at $t = \frac{3 T}{4}$
(B) The acceleration is maximum at t = T
(C) The speed is maximum at $t = \frac{T}{4}$
(D) The P.E. is equal to K.E. of the oscillation at $t = \frac{T}{2}$

Infinity Learn · Accepted Answer

In SHM  $$a=$$−ω$$2xSo$$ when x is max  ⇒ acceleration is maximumWhen x is zero ⇒  acceleration is zero ⇒  Force is zero & velocity is max.$$PE$$ & $$KE$$ are equal when  $$x=$$±$$A2$$

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