Question

A body executing $SHM$ has its velocity $16cm/sec$ when passing through mean position. If it goes $1cm$ either side of mean position, then find its maximum period.

Answer 1

A body executing $SHM$ has its velocity $=16$ cm/s $=16\times {10}^{-2}$ m/s.

When passing through mean position

If it goes $=1cm={10}^{-2}m$ either side of mean position.

The maximum period $=\frac{{10}^{-2}}{16\times {10}^{-2}}$

$=\frac{1}{16\left)100\right(.062}$

$\frac{96}{40}$