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\includegraphics[max width=\textwidth, alt={}, center]{39f94377-0dd0-4d1b-98de-815bd6e2c409-10_330_946_260_612} The diagram shows a fixed block with a horizontal top surface and a surface which is inclined at an angle of \(\theta ^ { \circ }\) to the horizontal, where \(\sin \theta = \frac { 3 } { 5 }\). A particle \(A\) of mass 0.3 kg rests on the horizontal surface and is attached to one end of a light inextensible string. The string passes over a small smooth pulley \(P\) fixed at the edge of the block. The other end of the string is attached to a particle \(B\) of mass 1.5 kg which rests on the sloping surface of the block. The system is released from rest with the string taut.

1. Given that the block is smooth, find the acceleration of particle \(A\) and the tension in the string.
2. It is given instead that the block is rough. The coefficient of friction between \(A\) and the block is \(\mu\) and the coefficient of friction between \(B\) and the block is also \(\mu\). In the first 3 seconds of the motion, \(A\) does not reach \(P\) and \(B\) does not reach the bottom of the sloping surface. The speed of the particles after 3 s is \(5 \mathrm {~m} \mathrm {~s} ^ { - 1 }\). Find the acceleration of particle \(A\) and the value of \(\mu\).