Question

The amplitude and time period in SHM are $0.8 \, cm$ and $0.2 \, sec$ respectively. If the initial phase is $\frac{\pi }{2}$ radian, then the equation representing SHM is

• A. $y=0.8cos 10\pi t$
• B. $y=0.8sin \pi t$
• C. $y=3\times 0.8sin \pi t$
• D. $y=0.8sin 10\pi t$

Answer 1

Answer: (A)

$y=asin \left(\omega t + \phi\right)$
$y=0.8sin \left\{\frac{2 \pi t}{0.2} + \frac{\pi }{2}\right\}$
$y=0.8cos 10\pi t$