4.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{278a61e9-e27f-4fd5-895a-db01886aadfe-14_545_314_248_877}
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\caption{Figure 1}
\end{figure}
A vertical rope \(P Q\) has its end \(Q\) attached to the top of a small lift cage.
The lift cage has mass 40 kg and carries a block of mass 10 kg , as shown in Figure 1.
The lift cage is raised vertically by moving the end \(P\) of the rope vertically upwards with constant acceleration \(0.2 \mathrm {~m} \mathrm {~s} ^ { - 2 }\)
The rope is modelled as being light and inextensible and air resistance is ignored.
Using the model,
- find the tension in the rope \(P Q\)
- find the magnitude of the force exerted on the block by the lift cage.