Mathematics 9709 · AS & A Level · Probability

Probability — practice question

A particle $P$ with mass $0.6\,\text{kg}$ lies on the rough upper surface of a horizontal disc centred at $O$. The distance $OP$ is $0.4\,\text{m}$. The disc and $P$ rotate at angular speed $3\,\text{rad s}^{-1}$ about a vertical axis passing through $O$.
(main)[3]

Determine the magnitude of the frictional force exerted by the disc on the particle, and indicate the direction of this force.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies $a = \omega^2 r$ to obtain $F = 0.6 \times 3^2 \times 0.4$

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