The displacement time graph of a particle executing SHM 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

Question

The displacement time graph of a particle executing SHM 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 magnitude of 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 $t = \frac{T}{2}$

TestHub · Accepted Answer

From graph equation of SHM. X = A cos ω t (A) at 3 T 4 particle at mean position ∴ a = 0 F = 0 (B) at T particle again at extreme position so acceleration is maximum (C) at t = T 4 , particle is at mean position so velocity maximum. ∴ a = 0 (D) K E = P E 1 2 k A 2 - x 2 = 1 2 k x 2 A 2 = 2 x 2 x = + A 2 A 2 = A cos ω t t = T 8 ∴ A , B and C are correct.

Physics - SHM Question with Solution | TestHub

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