(i)[4]
Show that the magnitude of the force exerted by the peg on the lamina is $7.12\text{ N}$, correct to $3$ significant figures.
(ii)[3]
Find the angle with the horizontal of the force exerted by the pivot on the lamina at $A$.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A uniform semicircular lamina of radius $0.7\text{ m}$ and weight $14\text{ N}$ is formed with diameter $AB$. It lies in a vertical plane, with $A$ freely pivoted at a fixed point. The straight edge $AB$ is supported against a small smooth peg $P$ above the level of $A$. The angle between $AB$ and the horizontal is $30^\circ$, and $AP = 0.9\text{ m}$ (see diagram).