Question

The displacement y of a particle varies with time t as $y=4\sin \omega t\cos \omega t$ cm where t is in seconds. The motion of the particle is

• A. simple harmonic with amplitude 2 cm
• B. simple harmonic with period $\frac{\pi }{\omega }$
• C. simple harmonic with period $\frac{2\pi }{\omega }$
• D. both a & b

Answer 1

The correct option is D both a & b

$y=4\sin \omega t\cos \omega t$

$=2\sin 2\omega t$

$A=2cm,$ Performing SHM.