Oscillations - Result Question 15

18. Which one of the following statements is true for the speed $v$ and the acceleration $a$ of $a$ particle executing simple harmonic motion?

(a) When $v$ is maximum, $a$ is zero

[2004]

(b) When $v$ is maximum, $a$ is maximum

(c) Value of a is zero, whatever may be the value of $v$

(d) When $v$ is zero, a is zero

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Answer:

Correct Answer: 18. (a)

Solution:

  1. (a) When $v$ is maximum, $a$ is zero

$v=\omega \sqrt{A^{2}-x^{2}} ; \quad a=\omega^{2} x$ $v _{\max }$ at $x=0$, but at $x=0, a=0$