Question

A stone is swinging in a horizontal circle of diameter $0.8m$ at $30rev/min$. A distant light causes a shadow of the stone on a nearly wall. The amplitude and period of the SHM for the shadow of the stone are:

• A. $0.4m,4s$
• B. $0.2m,2s$
• C. $0.4m,2s$
• D. $0.8m,2s$

Answer 1

Answer: (C)

$0.4m,2s$

$A=Radius=\frac{Diameter}{2}=0.4m$
$f=\frac{30}{60}=\frac{1}{2}rps$ or $\frac{1}{2}Hz$
$\therefore T=\frac{1}{f}=2s$