Question

in which condition the velocity is half of maximum velocity of particle moving with SHM

Answer 1

Answer:

$max .\: speed \: = aw \\ \\ velocity = w\sqrt{ {a}^{2} - {x}^{2} } \\ \\ according \: to \: the \: question = > \\ \\ w \sqrt{ {a}^{2} - {x}^{2} } = \frac{aw}{2} \\ \\ {a}^{2} - {x}^{2} = \frac{ {a}^{2} }{4} \\ \\ {x}^{2} = \frac{3 {a}^{2} }{4} \\ \\ x = \frac{ \sqrt{3}a }{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = - \frac{ \sqrt{3} a}{2}$