(i)[3]
Show that $r=0.2$.
(ii)[3]
Calculate the object's weight.
(iii)[6]
The $7\,\text{N}$ force is taken away, and the object hangs in equilibrium with $ABC$ at an angle of $\theta^\circ$ to the vertical. Find $\theta$.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
Fig. 1 depicts an object formed from a uniform wire of length $0.8\,\text{m}$. It has a straight section $AB$ and a semicircular section $BC$, with $A$, $B$ and $C$ lying on one straight line. The semicircle has radius $r\,\text{m}$, and the centre of mass of the object is $0.1\,\text{m}$ from line $ABC$.