Further Mathematics 7367: Circular Motion Topical Past Paper Questions

A small sphere, of mass m, is attached to one end of a light inextensible string of length a The other end of the string is attached to a fixed point O The sphere is at rest in equilibrium directly below O when it is struck, giving it a horizontal impulse of magnitude $ mU $ Afte…

In this question use $ g = 10\, \text{m s}^{-2} $ A sphere of mass 0.8kg is attached to one end of a string of length 2 metres. The other end of the string is attached to a fixed point O The sphere is released from rest with the string taut and at an angle of $ 30^{\circ} $ to th…

A particle, of mass 5 kg, moves on a circular path so that at time t seconds it has position vector r metres, where $$ \mathbf{r}=(2\sin3t)\mathbf{i}+(2\cos3t)\mathbf{j} $$ Prove that the velocity of the particle is perpendicular to its position vector. [4 marks] Prove that the m…