1) An object is fixed to one end of a Iight rod which rotates in a vertical circle at constant speed.

Which graph could represent the variation of tension T in the rod with angle θ?

2) A young child of mass 20 kg stands at the centre of a uniform horizontal platform which rotates at a constant angular speed of 3.0 rad s^–1. The child begins to walk radially outwards towards the edge of the platform. The maximum frictional force between the child and the platform is 200 N. What is the maximum distance from the centre of the platform to which the child could walk without the risk of slipping?

3) The diagram shows the top view of a frictionless sheet of ice. A puck, tied with a string to a point P, slides on the surface of the ice in the circular path shown.

If the string suddenly breaks when the puck is in the position shown above, which path best represents the puck's subsequent motion?

4) A particle travels in uniform circular motion. Which of the following correctly describes the linear velocity, angular velocity and centripetal acceleration of the particle?

5) A disc is rotating about an axis through its centre and perpendicular to its plane. A point P on the disc is twice as far from the axis as a point Q. At a given instant, what is the ratio of the linear velocity at P to the linear velocity at Q?