CAIE M2 2007 November — Question 1

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2007
SessionNovember
TopicVectors Introduction & 2D

1
\includegraphics[max width=\textwidth, alt={}, center]{b9080e9f-2c23-43ce-b171-bd68648dc56b-2_711_398_269_877} Each of two identical light elastic strings has natural length 0.25 m and modulus of elasticity 4 N . A particle \(P\) of mass 0.6 kg is attached to one end of each of the strings. The other ends of the strings are attached to fixed points \(A\) and \(B\) which are 0.8 m apart on a smooth horizontal table. The particle is held at rest on the table, at a point 0.3 m from \(A B\) for which \(A P = B P\) (see diagram).
  1. Find the tension in the strings.
  2. The particle is released. Find its initial acceleration.