4.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{5a2cf693-d966-4787-8778-ecc8a79a6265-12_647_396_251_776}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows a large bucket used by a crane on a building site to move materials between the ground and the top of the building. The mass of the bucket is 15 kg .
The bucket is attached to a vertical cable with the bottom of the bucket horizontal. The cable is modelled as light and inextensible.
When the bucket is on the ground, a bag of cement of mass 25 kg is placed in the bucket.
The bucket with the bag of cement moves vertically upwards with constant acceleration \(0.2 \mathrm {~ms} ^ { - 2 }\). Air resistance is modelled as being negligible.
- Find the tension in the cable.
At the top of the building, the bag of cement is removed. A box of tools of mass 12 kg is now placed in the bucket.
Later on the bucket with the box of tools is moving vertically downwards with constant deceleration \(0.1 \mathrm {~m} \mathrm {~s} ^ { - 2 }\). Air resistance is again modelled as being negligible.
- Find the magnitude of the normal reaction between the bucket and the box of tools.