UPSC Civil Service Exam Questions - Engineering

Q1:

A particle moves with simple harmonic motion. If its acceleration at distance 'D' from the equilibrium position is 'A' then the period of the motion is given by

A
AD

B

C

D

ANS:D -

Answer is D.

T = 2pi/w.

w = Angular velocity.

Now, A = -w^2*d.

w = [A/d]^1/2.

T = 2pi[d/A]^1/2.