(i)[3]
Show that the centre of mass of the wire is $0.463\text{ m}$ horizontally from the wall, correct to $3$ significant figures.
(ii)[2]
Calculate the wire's weight.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A uniform wire is bent into a semicircular arc, and the diameter $AB$ has length $0.8\text{ m}$. The wire is joined to a vertical wall by a smooth hinge at $A$. It is in equilibrium with $AB$ making an angle of $70^{\circ}$ to the upward vertical, supported by a light string fixed to $B$. The other end of the string is fixed at point $C$ on the wall, $0.8\text{ m}$ vertically above $A$. The tension in the string is $15\text{ N}$ (see diagram).