(i)[4]
Assuming that $P$ is in equilibrium, show that $\theta = 66.4$, correct to $1$ decimal place, and determine the normal reaction between the plane and $P$.
(ii)[2]
If instead $\theta = 30$, determine the acceleration of $P$.
Mathematics 9709 · AS & A Level · Forces and equilibrium
Forces and equilibrium — practice question
A particle $P$ of mass $8\,\text{kg}$ lies on a smooth plane inclined at $30^\circ$ to the horizontal. A force of magnitude $100\,\text{N}$, acting in the vertical plane that contains the line of greatest slope and making an angle of $\theta^\circ$ with that line, acts on $P$ (see diagram).