Edexcel M3 2018 June — Question 1 4 marks

Exam BoardEdexcel
ModuleM3 (Mechanics 3)
Year2018
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicHooke's law and elastic energy
TypeElastic string equilibrium and statics
DifficultyModerate -0.8 This is a straightforward single-step equilibrium problem requiring only Hooke's law and weight balance. Students substitute known values into λx/l = mg and solve for l, making it easier than average with no problem-solving insight needed beyond standard formula application.
Spec6.02g Hooke's law: T = k*x or T = lambda*x/l

  1. A light elastic string of modulus of elasticity 29.4 N has one end attached to a fixed point \(A\). A particle \(P\) of mass 1.5 kg is attached to the other end of the string and \(P\) hangs freely in equilibrium 0.5 m vertically below \(A\). Find the natural length of the string.

\begin{enumerate}
  \item A light elastic string of modulus of elasticity 29.4 N has one end attached to a fixed point $A$. A particle $P$ of mass 1.5 kg is attached to the other end of the string and $P$ hangs freely in equilibrium 0.5 m vertically below $A$. Find the natural length of the string.\\

\end{enumerate}

\hfill \mbox{\textit{Edexcel M3 2018 Q1 [4]}}