8 A crate, of mass 200 kg , is initially at rest on a rough horizontal surface. A smooth ring is attached to the crate. A light inextensible rope is passed through the ring, and each end of the rope is attached to a tractor. The lower part of the rope is horizontal and the upper part is at an angle of $20 ^ { \circ }$ to the horizontal, as shown in the diagram.\\
\includegraphics[max width=\textwidth, alt={}, center]{fe8c1ea4-cf4d-4741-8af5-03e8c2c88559-5_344_1186_518_420}

When the tractor moves forward, the crate accelerates at $0.3 \mathrm {~m} \mathrm {~s} ^ { - 2 }$. The coefficient of friction between the crate and the surface is 0.4 .

Assume that the tension, $T$ newtons, is the same in both parts of the rope.
\begin{enumerate}[label=(\alph*)]
\item Draw and label a diagram to show the forces acting on the crate.
\item Express the normal reaction between the surface and the crate in terms of $T$.
\item Find $T$.
\end{enumerate}

\hfill \mbox{\textit{AQA M1 2010 Q8 [10]}}