6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{05cf68a3-1ba4-487f-9edd-48a246f4194f-20_328_1082_127_438}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{figure}
A railway engine of mass 1500 kg is attached to a railway truck of mass 500 kg by a straight rigid coupling. The engine pushes the truck up a straight track, which is inclined to the horizontal at an angle \(\alpha\), where \(\sin \alpha = \frac { 7 } { 25 }\). The coupling is parallel to the track and parallel to the direction of motion, as shown in Figure 3.
The engine produces a constant driving force of magnitude \(D\) newtons. The engine and the truck experience constant resistances to motion, from non-gravitational forces, of magnitude 1200 N and 500 N respectively.
The thrust in the coupling is 2000 N .
The coupling is modelled as a light rod.
- Find the acceleration of the engine and the truck.
- Find the value of \(D\).