Question

A particle is oscillating according to the equation $X=7\cos 0.5\pi t$, where $t$ is in seconds. The point moves from the position of equilibrium to maximum displacement in time.

• A. $4.0sec$
• B. $2.0sec$
• C. $1.0sec$
• D. $0.5sec$

Answer 1

Answer: (C)

$1.0sec$

From given equation $\omega =\frac{2\pi }{T}=0.5\pi \Rightarrow T=4$ sec
Time taken from mean position to the maximum displacement $=\frac{1}{4}T=1$ sec.