9709 P43 - Jun 2012 - Q2
3677
A smooth ring R of mass 0.16 kg is threaded on a light inextensible string. The ends of the string are attached to fixed points A and B. A horizontal force of magnitude 11.2 N acts on R, in the same vertical plane as A and B. The ring is in equilibrium. The string is taut with angle ARB = 90°, and the part AR of the string makes an angle of θ° with the horizontal (see diagram). The tension in the string is T N.
- Find two simultaneous equations involving T \sin \theta and T \cos \theta.
- Hence find T and θ.
