If a spring extends by $x$ on loading, then energy stored by the spring is (if $T$ is the tension in the spring and $K$ is the spring constant)
$\frac{{{T^2}}}{{2x}}$
$\frac{{{T^2}}}{{2K}}$
$\frac{{2K}}{{{T^2}}}$
$\frac{{2{T^2}}}{K}$
In the adjacent figure, if the incline plane is smooth and the springs are identical, then the period of oscillation of this body is
A mass of $5\, {kg}$ is connected to a spring. The potential energy curve of the simple harmonic motion executed by the system is shown in the figure. A simple pendulum of length $4\, {m}$ has the same period of oscillation as the spring system. What is the value of acceleration due to gravity on the planet where these experiments are performed? (In ${m} / {s}^{2}$)
The springs in figure. $A$ and $B$ are identical but length in $A$ is three times that in $B$. The ratio of period $T_A/T_B$ is
What is restoring force ?
A body of mass $5\; kg$ hangs from a spring and oscillates with a time period of $2\pi $ seconds. If the ball is removed, the length of the spring will decrease by