3 Fig. 3.1 shows a block of mass 8 kg on a smooth horizontal table.
This block is connected by a light string passing over a smooth pulley to a block of mass 4 kg which hangs freely. The part of the string between the 8 kg block and the pulley is parallel to the table.
The system has acceleration \(a \mathrm {~m} \mathrm {~s} ^ { - 2 }\).
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{4c8c96cf-5184-46e4-9c45-a8a80d0a6ff8-3_330_809_525_628}
\captionsetup{labelformat=empty}
\caption{Fig. 3.1}
\end{figure}
- Write down two equations of motion, one for each block.
- Find the value of \(a\).
The table is now tilted at an angle of \(\theta\) to the horizontal as shown in Fig. 3.2. The system is set up as before; the 4 kg block still hangs freely.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{4c8c96cf-5184-46e4-9c45-a8a80d0a6ff8-3_410_727_1324_669}
\captionsetup{labelformat=empty}
\caption{Fig. 3.2}
\end{figure} - The system is now in equilibrium. Find the value of \(\theta\).