6.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{2f2f89a6-cec4-444d-95d9-0112887d87eb-18_335_682_296_696}
\captionsetup{labelformat=empty}
\caption{Figure 4}
\end{center}
\end{figure}

A particle $P$ of mass 5 kg lies on the surface of a rough plane.\\
The plane is inclined at an angle $\alpha$ to the horizontal, where $\tan \alpha = \frac { 3 } { 4 }$\\
The particle is held in equilibrium by a horizontal force of magnitude $H$ newtons, as shown in Figure 4.

The horizontal force acts in a vertical plane containing a line of greatest slope of the inclined plane.

The coefficient of friction between the particle and the plane is $\frac { 1 } { 4 }$
\begin{enumerate}[label=(\alph*)]
\item Find the smallest possible value of $H$.

The horizontal force is now removed, and $P$ starts to slide down the slope.\\
In the first $T$ seconds after $P$ is released from rest, $P$ slides 1.5 m down the slope.
\item Find the value of $T$.
\end{enumerate}

\hfill \mbox{\textit{Edexcel M1 2024 Q6}}