Particles and perform SHM along the same line with equal amplitude and angular…

PHYSICS · Single correct · CBSE · Physics · Oscillations · Oscillations

Problem

Particles

P

and

Q

perform SHM along the same line with equal amplitude

4\,\text{cm}

and angular frequency

\omega = 2\pi\,\text{rad s}^{-1}

x_P = 4\cos \omega t

x_Q = 4\cos(\omega t + \dfrac{\pi}{2})

. Find the smallest positive time

t

(in seconds) after

t=0

when they cross each other while moving in opposite directions. (a)

0.50\,\text{s}

(b)

0.25\,\text{s}

(c)

0.375\,\text{s}

(d)

0.875\,\text{s}