CAIE M2 2017 June — Question 2

Exam BoardCAIE
ModuleM2 (Mechanics 2)
Year2017
SessionJune
TopicCircular Motion 1

2
\includegraphics[max width=\textwidth, alt={}, center]{2b0425b2-2f8f-491a-996c-3d3b589bd7df-04_444_455_260_845} The ends of two light inextensible strings of length 0.7 m are attached to a particle \(P\). The other ends of the strings are attached to two fixed points \(A\) and \(B\) which lie in the same vertical line with \(A\) above \(B\). The particle \(P\) moves in a horizontal circle which has its centre at the mid-point of \(A B\). Both strings are inclined at \(60 ^ { \circ }\) to the vertical. The tension in the string attached to \(A\) is 6 N and the tension in the string attached to \(B\) is 4 N (see diagram).
  1. Find the mass of \(P\).
  2. Calculate the speed of \(P\).