When a body of mass $m$ is suspended from a spiral spring,the spring stretches by a distance of $20\, cm$. If the spring is further stretched by a small distance and released,what is the period of oscillation (in $, s$)?

$A$ solid cylinder of density $\rho_0$,cross-section area $A$ and length $l$ floats in a liquid of density $\rho (\rho > \rho_0)$ with its axis vertical. If it is slightly displaced downward and released,the time period of oscillation will be:

On a smooth inclined plane,a body of mass $M$ is attached between two springs. The other ends of the springs are fixed to firm supports. If each spring has a force constant $K$,the period of oscillation of the body (assuming the springs are massless) is

Write the formula for the time period $(T)$ of a particle executing Simple Harmonic Motion $(SHM)$.

Two springs of spring constants $k_1$ and $k_2$ are connected to a mass $m$ as shown in the figure. Under negligible friction, if the mass is displaced by a small amount $x$ from its equilibrium position and released, the period of oscillation is

For a simple harmonic motion in a mass-spring system shown,the surface is frictionless. When the mass of the block is $1\,kg$,the angular frequency is $\omega_1$. When the mass of the block is $2\,kg$,the angular frequency is $\omega_2$. The ratio $\omega_2 / \omega_1$ is