Edexcel M1 2022 October — Question 3

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2022
SessionOctober
TopicMotion on a slope

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{2633b149-96db-4b80-96c2-e3e6bfbee174-08_301_636_287_657} \captionsetup{labelformat=empty} \caption{Figure 2}
\end{figure} A rough plane is inclined to the horizontal at an angle \(\alpha\), where \(\tan \alpha = \frac { 3 } { 4 }\)
A particle \(P\) of mass 2 kg is held in equilibrium on the plane by a horizontal force of magnitude \(X\) newtons, as shown in Figure 2. The force acts in a vertical plane which contains a line of greatest slope of the inclined plane.
  1. Show that when \(X = 14.7\) there is no frictional force acting on \(P\) The coefficient of friction between \(P\) and the plane is 0.5
  2. Find the smallest possible value of \(X\).
    VIAV SIHI NI IIIIM I I N OC
    VARY SIMI NI EIIIM I ON OC
    VILV SIMI NI III M I I N OC \includegraphics[max width=\textwidth, alt={}, center]{2633b149-96db-4b80-96c2-e3e6bfbee174-11_88_63_2631_1886}