Physics - SHM Question with Solution | TestHub

Full time period:$T=2\pi \sqrt{\frac{\ell }{g}}=2\pi \sqrt{\frac{1}{{\pi }^2}}=2\text{s}$

The wall is at 1° while the amplitude is 2°. Time from the mean position to the wall:$1=2\sin \frac{2\pi t}{T}\Rightarrow \omega t=\frac{\pi }{6}\Rightarrow t=\frac{T}{12}$

One-sided motion from +2° to the wall takes$\frac{T}{4}+\frac{T}{12}=\frac{2}{3}\text{s}$

$T_{new}=2\times \frac{2}{3}=\frac{4}{3}\text{s}=\frac{n}{3}\Rightarrow n=4$

Answer: 4