In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A non-uniform rod AB AB\,AB has length 5 m and mass 12 kg. The rod is held horizontally in equilibrium by two vertical light inextensible strings attached to the rod at A A\,A and at CCC, where AC=4AC = 4AC=4 m.
The tension in the string at A A\,A is twice the tension in the string at CCC.
Find the tension in the string at CCC.
Find the distance of the centre of mass of the rod from AAA.
56 exam-style questions on OCR (MEI) A Level Maths 3.6 Rigid Bodies (A-level only), covering 3.6.1 Moment of a force (A-level only), 3.6.2 Equilibrium of a rigid body (A-level only), 3.6.3 Turning effect of forces (A-level only), and 3.6.4 Weight acting through a point (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.