(i)[4]
the $x$-axis
(ii)[3]
the $y$-axis
(iii)[2]
The object can turn freely in a vertical plane about a horizontal axis through $O$. Calculate the angle made by $OA$ with the vertical when the object is in equilibrium.
Mathematics 9709 · AS & A Level · Representation of data
Representation of data — practice question
A uniform circular disc has centre $O$ and radius $1.2\,\text{m}$. Its centre is positioned at the origin of the $x$- and $y$-axes. Two circular holes, with centres at $A$ and $B$, are cut out of the disc (see diagram). Point $A$ lies on the negative $x$-axis, where $OA = 0.5\,\text{m}$. Point $B$ lies on the negative $y$-axis, where $OB = 0.7\,\text{m}$. The hole centred at $A$ has radius $0.3\,\text{m}$ and the hole centred at $B$ has radius $0.4\,\text{m}$. Find the distance of the centre of mass of the object from
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This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Correct mass expression for disc $= \pi(1.2^2 - 0.4^2 - 0.3^2)$” …
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