Question

An SHM is given by $y=5[\sin (3\pi t)+\sqrt{3}\cos (3\pi t)]$ What is the amplitude of the motion of $y$ in metre?

• A. 10
• B. 20
• C. 1
• D. 5

Answer 1

Answer: (A)

Given equation is $y=5[\sin 3\pi t+\sqrt{3\cos 3\pi t}]$
or $y=5\times 2\left[\sin 3\pi t\times \frac{1}{2}=\frac{\sqrt{3}}{2}\cos 3\pi t\right]$
or $y=10\sin \left(3\pi t\frac{\pi }{3}\right)$