6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{7a65555e-1bb2-4947-8e70-50f267017bfd-16_272_1391_336_436}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{figure}
A box of mass \(m\) lies on a rough horizontal plane. The box is pulled along the plane in a straight line at constant speed by a light rope. The rope is inclined at an angle \(\theta\) to the plane, as shown in Figure 3.
The coefficient of friction between the box and the plane is \(\frac { 1 } { 3 }\)
The box is modelled as a particle.
Given that \(\tan \theta = \frac { 3 } { 4 }\)
- find, in terms of \(m\) and \(g\), the tension in the rope.
The rope is now removed and the box is placed at rest on the plane.
The box is then projected horizontally along the plane with speed \(u\).
The box is again modelled as a particle.
When the box has moved a distance \(d\) along the plane, the speed of the box is \(\frac { 1 } { 2 } u\). - Find \(d\) in terms of \(u\) and \(g\).
| VJYV SIHI NI JIIIM ION OC | vauv sthin NI JLHMA LON OO | V34V SIHI NI IIIIM ION OC |