Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
A small ring $P$ is fitted on a fixed smooth horizontal rod $AB$. Three horizontal forces of magnitudes $4.5\,\text{N}$, $7.5\,\text{N}$ and $F\,\text{N}$ act on $P$ (see diagram).
(i)[6]
Because the three forces are in equilibrium, determine the values of $F$ and $\theta$.
(ii)[2]
Instead, the values of $F$ and $\theta$ are $9.5$ and $30$ respectively, and the ring’s acceleration is $1.5\,\text{m s}^{-2}$. Determine the mass of the ring.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Force resolution in the horizontal or vertical direction” …