Solveeit Logo

Question

Question: Which one of the following statements is true for the velocity n and the acceleration a of a particl...

Which one of the following statements is true for the velocity n and the acceleration a of a particle executing simple harmonic motion ?

A

When v is maximum, a is zero

B

When v is zero, a is zero

C

When v is maximum, a is maximum.

D

Value of a is zero, whatever may be the value of v

Answer

When v is maximum, a is zero

Explanation

Solution

In SHM, Velocity

v=ωA2x2v = \omega\sqrt{A^{2} - x^{2}}

Acceleration a=ω2xa = - \omega^{2}x

When x = 0, v=ωAv = \omega A = maximum and a =0

When x = A, v =0 and a = ω2A=- \omega^{2}A =maximum