CAPE Applied Mathematics Unit 2 · 2018 · Paper 2 · Question 5(a)(ii)

Ends of a string are attached to fixed points P and S at the same horizontal level. Two weights, 120 N and w N, are attached at Q and R such that QR is horizontal. The system is in equilibrium with PQ and RS making angles 45° and 60° respectively with the horizontal.

Using your diagram, calculate the tension in the strings PQ and QR, and the weight, w.