A uniform beam XY XY\,XY has length 5.6 m and mass 0.6 kg. A sensor of weight λ \lambda\,λ N is fixed at XXX, and a counterweight of weight 4λ 4\lambda\,4λ N is fixed at YYY. The beam is held horizontally by a single vertical cable attached at a point d d\,d m from YYY.
Show that d=5.6λ+1.68g5λ+0.6gd=\dfrac{5.6\lambda+1.68g}{5\lambda+0.6g}d=5λ+0.6g5.6λ+1.68g.
42 exam-style questions on WJEC A Level Maths 4.10 Moments (A-level only), covering 4.10.1 Moments (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.