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)

10

Answer 2

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 $y=10 \sin \left(3 \pi t \frac{\pi}{3}\right)$