Mathematics 9709 · AS & A Level · Probability

Probability — practice question

Two light elastic strings have one end fixed to a horizontal beam. One has natural length $0.6\,\text{m}$ and modulus of elasticity $12\,\text{N}$, while the other has natural length $0.7\,\text{m}$ and modulus of elasticity $21\,\text{N}$. Their other ends are joined to a small block $B$ of weight $W\,\text{N}$. The block is suspended in equilibrium $d\,\text{m}$ below the beam, with both strings vertical.
(i)[4]

Given that the tensions in the strings are equal, Find $d$ and $W$.

(ii)[4]

Find the maximum speed of the block during its later motion.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies $T=\dfrac{\lambda x}{l}$ with the correct extension

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