(i)[4]
Show that the size 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 that the force exerted by the pivot on the lamina at $A$ makes with the horizontal.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A semicircular lamina of uniform density has radius $0.7\,\text{m}$ and weight $14\,\text{N}$, with diameter $AB$. It is positioned in a vertical plane and freely pivoted at $A$ about a fixed point. A small smooth peg $P$ above the level of $A$ supports the straight edge $AB$. The line $AB$ is inclined at $30^{\circ}$ to the horizontal, and $AP = 0.9\,\text{m}$ (see diagram).