Physics - SHM Question with Solution | TestHub

Given, mass of bob=$M$

Length of simple pendulum=$L$




Now, in$∆OAB, \cos \alpha =\frac{OA}{OB}$

or$\cos \alpha =\frac{OA}{L}$

or$AO=L \mathrm{c}\mathrm{o}\mathrm{s} \alpha$

and$AP=OP-AO$

$AP=L-L \mathrm{c}\mathrm{o}\mathrm{s} \alpha$

or$h=L(1-\mathrm{c}\mathrm{o}\mathrm{s} \alpha )$

The maximum kinetic energy of bob

= Maximum potential energy

$\mathrm{K}\mathrm{E}=M\mathrm{g}h$

$\mathrm{K}\mathrm{E}=M\mathrm{g}L(1-\mathrm{c}\mathrm{o}\mathrm{s} \alpha \mathrm{)}$