2.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{ace84823-db30-463e-b24b-f0cd7df73746-04_542_831_301_552}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
A smooth bead of weight 12 N is threaded onto a light elastic string of natural length 3 m . The points \(A\) and \(B\) are on a horizontal ceiling, with \(A B = 3 \mathrm {~m}\). One end of the string is attached to \(A\) and the other end of the string is attached to \(B\).
The bead hangs freely in equilibrium, 2 m below the ceiling, as shown in Figure 2.
- Find the tension in the string.
- Show that the modulus of elasticity of the string is 11.25 N .
The bead is now pulled down to a point vertically below its equilibrium position and released from rest.
- Find the elastic energy stored in the string at the instant when the bead is moving at its maximum speed.