(i)[4]
Show that the tension in the string comes to $2.00\ \text{N}$ correct to $3$ significant figures.
(ii)[3]
Determine the magnitude and direction of the force exerted on the lamina by the hinge.
Mathematics 9709 · AS & A Level · Probability
Probability — practice question
$AB$ names the diameter of a uniform semicircular lamina with radius $0.3\ \text{m}$ and mass $0.4\ \text{kg}$. The lamina is hinged to a vertical wall at $A$, and $AB$ is inclined at $30^{\circ}$ to the vertical. One end of a light inextensible string is fixed to the lamina at $B$, and the other end is fixed to the wall vertically above $A$. The lamina is in equilibrium in a vertical plane perpendicular to the wall, with the string horizontal (see diagram).
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This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies $d = \dfrac{2 \times 0.3 \sin(\pi/2)}{3\pi/2}$ to obtain $d = 0.1273$” …
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