Mathematics 9709 · AS & A Level · Probability

Probability — practice question

Particle P has mass $0.2\,\text{kg}$ and is joined to fixed point A by a light inextensible string of length $0.4\,\text{m}$. A second light inextensible string of length $0.3\,\text{m}$ links P to fixed point B, which lies vertically beneath A. The particle P describes a horizontal circle whose centre lies on the line AB, and angle APB = 90^\circ$ (see diagram).
(i)[5]

If the tensions in the two strings are the same, calculate the speed of P.

(ii)[3]

It is instead stated that P is moving at the least angular speed possible for motion round this circle. Determine this angular speed.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Vertical resolution with three forces: $T(4/5) - T(3/5) = 0.2g$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI