Question 3
A uniform horizontal rod AB AB\,AB has length 6 m and weight 120 N. It is hinged at AAA. A load of weight 80 N is attached 4 m from AAA. The rod is held in equilibrium by a cable attached at B B\,B which makes an angle of 30∘ 30^\circ\,30∘ above the rod and pulls upwards and towards AAA.
a.[3]
Find the tension in the cable.
b.[3]
Find the horizontal and vertical components of the force exerted by the hinge on the rod.
c.[1]
Hence find the magnitude of the force exerted by the hinge on the rod.
3.4 Moments (A-level only) Questions
53 exam-style questions on OCR A Level Maths 3.4 Moments (A-level only), covering 3.4.1 Moment of a force (A-level only), 3.4.2 Equilibrium of a rigid body (A-level only), and 3.4.3 Moments in static contexts (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.