8FM0_26_que_20211008.pdf

It consists of two questions.

Question 1 involves a uniform rod cut into pieces to form two rigid squares, ABCD and PQRS, which are then joined to form a rigid framework. The candidate is asked to explain why the centre of mass of square ABCD is at Q and to find the distance of the centre of mass of the framework from B.

Question 2 involves a small smooth ring P moving in a horizontal circle with a constant angular speed, attached to a light inextensible string. The candidate is asked to find the magnitude of the normal reaction between P and the table, the angular speed of P when it loses contact with the table, and to explain how the fact that P is smooth has been used.

The exam instructions specify the use of black ink or ball-point pen, the labeling of answers, and the showing of sufficient working to make methods clear. A booklet of Mathematical Formulae and Statistical Tables is provided, and a calculator can be used, but it must not have certain advanced mathematical capabilities.