In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A seesaw AB AB\,AB of length 4 m is supported by a pivot at its centre. The seesaw is modelled as a uniform rod.
Child CCC, of mass 30 kg, sits on the seesaw at the end AAA. Child DDD, of mass 45 kg, sits on the seesaw at a distance x x\,x m from the centre, on the opposite side of the pivot from CCC.
The seesaw rests horizontally in equilibrium.
Find the value of xxx.
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.