8.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{aaa8b297-347c-4a9b-a2c2-c4bd70d56912-13_668_901_262_566}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{figure}
A particle \(A\) of mass \(3 m\) is held at rest on a rough horizontal table. The particle is attached to one end of a light inextensible string. The string passes over a small smooth pulley \(P\) which is fixed at the edge of the table. The other end of the string is attached to a particle \(B\) of mass \(2 m\), which hangs freely, vertically below \(P\). The system is released from rest, with the string taut, when \(A\) is 1.3 m from \(P\) and \(B\) is 1 m above the horizontal floor, as shown in Figure 3.
Given that \(B\) hits the floor 2 s after release and does not rebound,
- find the acceleration of \(A\) during the first two seconds,
- find the coefficient of friction between \(A\) and the table,
- determine whether \(A\) reaches the pulley.
\includegraphics[max width=\textwidth, alt={}, center]{aaa8b297-347c-4a9b-a2c2-c4bd70d56912-14_106_59_2478_1833}