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.
Show that P=32W\displaystyle P = \frac{\sqrt{3}}{2}WP=23W.
Find, in terms of WWW, the magnitude of the force exerted by the hinge on the rod at AAA.
53 exam-style questions on AQA A Level Maths 3.4 S: Moments (A-level only), covering 3.4.1 Moments in static contexts (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.