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4 Unit A2 2: Applied Mathematics (A-level only)

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Question 58

A uniform rod AB AB\,AB of length 2a 2a\,2a metres and weight W W\,W newtons is freely hinged to a fixed point at AAA.

The rod is held in equilibrium at an angle of 30° 30°\,30° above the horizontal by a horizontal force of magnitude P P\,P newtons applied to the rod at BBB, in the vertical plane containing the rod.

Figure for question 8

a.

Show that P=32W\displaystyle P = \frac{\sqrt{3}}{2}WP=23​​W.

[4]
b.

Find, in terms of WWW, the magnitude of the force exerted by the hinge on the rod at AAA.

[3]
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4 Unit A2 2: Applied Mathematics (A-level only) Questions

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