Question

Oscillation of a particle is prescribed by the equation $x=3\cos 0.25\pi t$ where t is the time in seconds. Then time taken by the particle to move from position of equilibrium to maximum displacement is

• A. 0.5 sec
• B. 1.0 sec
• C. 2.0 sec
• D. 3.0 sec

Answer 1

The correct option is C 2.0 sec

From equilibrium maximum displacement it is 1/4 th of time period

$t=\frac{1}{4}\times \frac{2\pi }{\omega }$

$=\frac{1}{4}\times \frac{2\pi }{0.25\pi }=2sec$