Answer to Question #201558 in Mechanics | Relativity for Sreerekha R Menon

Question

a mass of 16 kg is attached to a spring of spring constant 2. the spring is attached to a frictionless surface. To make an oscillation,mass is extended to a distance of 3m and released. represent the displacement of mass from equilibrium as a position vs time graph

Answer 1

$x = x_{max} \cos (\omega_0 t + \phi_0)$

$\phi_0 =0;x_{max} =3;$

$\omega_0=\sqrt\frac{k}{m}==\sqrt\frac{2}{16}\approx 0.35$

$x = 3 \cos (0.35 t );$