Answer to Question #326027 in Classical Mechanics for Amrita

Question

a body of mass 0.004kg executes SHM the force acting on the body when the displacement is 8cm is 0.024kgwt find the periodif the maximum velocity is 5m s find amplitude and maximum acceleration given g 9.8 m s²

Answer 1

$k=\frac Fx=0.3~\frac N{kg},$

$\omega=\sqrt\frac km=8.7~\frac{rad}s,$

$T=\frac {2\pi}{\omega}=0.73~s,$

$A=\frac v{\omega}=0.57~m,$

$a=\omega v=43~\frac m{s^2}.$