SPS SPS SM 2021 January — Question 4 6 marks

Exam BoardSPS
ModuleSPS SM (SPS SM)
Year2021
SessionJanuary
Marks6
TopicPulley systems
TypeTwo particles over pulley, vertical strings
DifficultyModerate -0.3 This is a standard two-particle pulley system problem requiring application of Newton's second law to find acceleration, then kinematics to find time. While it involves multiple steps (finding net force, acceleration, then using SUVAT), the method is routine and well-practiced in mechanics courses. The inclusion of part (b) asking for an assumption is standard bookwork. Slightly easier than average due to the straightforward setup and clean numbers.
Spec3.03k Connected particles: pulleys and equilibrium

4. In this question use \(\boldsymbol { g } = \mathbf { 9 . 8 1 } \mathbf { m ~ s } ^ { \mathbf { - 2 } }\) Two particles, of mass 1.8 kg and 1.2 kg , are connected by a light, inextensible string over a smooth peg. \includegraphics[max width=\textwidth, alt={}, center]{1a7b75e9-eab4-4264-ab15-5292c504fb4d-04_563_695_477_669}
  1. Initially the particles are held at rest 1.5 m above horizontal ground and the string between them is taut. The particles are released from rest.
    Find the time taken for the 1.8 kg particle to reach the ground.
  2. State one assumption you have made in answering part (a).

4.

In this question use $\boldsymbol { g } = \mathbf { 9 . 8 1 } \mathbf { m ~ s } ^ { \mathbf { - 2 } }$\\
Two particles, of mass 1.8 kg and 1.2 kg , are connected by a light, inextensible string over a smooth peg.\\
\includegraphics[max width=\textwidth, alt={}, center]{1a7b75e9-eab4-4264-ab15-5292c504fb4d-04_563_695_477_669}
\begin{enumerate}[label=(\alph*)]
\item Initially the particles are held at rest 1.5 m above horizontal ground and the string between them is taut.

The particles are released from rest.\\
Find the time taken for the 1.8 kg particle to reach the ground.
\item State one assumption you have made in answering part (a).
\end{enumerate}

\hfill \mbox{\textit{SPS SPS SM 2021 Q4 [6]}}