3
\begin{figure}[h]
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\caption{Fig. 3}
\end{figure}
Fig. 3 shows a block of mass 15 kg on a rough, horizontal plane. A light string is fixed to the block at A, passes over a smooth, fixed pulley B and is attached at C to a sphere. The section of the string between the block and the pulley is inclined at \(40 ^ { \circ }\) to the horizontal and the section between the pulley and the sphere is vertical.
The system is in equilibrium and the tension in the string is 58.8 N .
- The sphere has a mass of \(m \mathrm {~kg}\). Calculate the value of \(m\).
- Calculate the frictional force acting on the block.
- Calculate the normal reaction of the plane on the block.