Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

The object is formed from two identical uniform rods $AB$ and $BC$, each measuring $0.6\text{ m}$ in length and weighing $7\text{ N}$. The rods are joined rigidly at $B$ and $angle ABC = 90^\circ$.
(i)[1]

Calculate how far the centre of mass of the object is from $B$.

(ii(a))[2]

Calculate $F$ when the force is horizontal, as shown in Fig. 1.

(ii(b))[2]

Calculate $F$ when, instead, the force is perpendicular to the rod, as shown in Fig. 2.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct value $0.212$ obtained from $(0.6/2)\cos45$

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