Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
In Fig. 6.1, particles $A$ and $B$, with masses $4\,\text{kg}$ and $3\,\text{kg}$ respectively, are fixed to the ends of a light inextensible string that runs over a small smooth pulley. The pulley is attached at the top of a plane inclined at $30^\circ$ to the horizontal. $A$ hangs freely beneath the pulley, while $B$ rests on the inclined plane. The string is taut, and the part of the string from $B$ to the pulley is parallel to a line of greatest slope of the plane.
(a)[6]
The plane is rough and the particles are in limiting equilibrium. Determine the coefficient of friction between $B$ and the plane.
(b)[6]
Use an energy method to determine the speed of the particles at the instant when the particles are at the same horizontal level.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The tension is $T = 4g$” …