Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

A ball $B$ of mass $4\,\text{kg}$ is fastened to one end of a light inextensible string. At the opposite end of the string is a particle $P$ of mass $3\,\text{kg}$. The string runs over a fixed smooth pulley. The system is in equilibrium, with the string taut and both straight sections vertical. $B$ rests on a rough plane that is inclined to the horizontal at an angle of $\alpha$, where $\cos\alpha = 0.8$ (see diagram).
(main)[3]

State the tension in the string and find the normal component of the contact force that the plane exerts on $B$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: The tension is $30\,\text{N}$

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