A uniform beam AB AB\,AB has length 4 m and mass 80 kg. It is held horizontally by a vertical cable attached at A A\,A and a smooth support at CCC, where AC=3AC = 3AC=3 m. Cable categories P, Q and R can withstand maximum tensions of 900 N, 1100 N and 1300 N, respectively.
Use g=9.8 m s−2g = 9.8\text{ m s}^{-2}g=9.8 m s−2. A cable is acceptable only if it can withstand four times the tension present in the beam.
Find the tension in the cable.
Determine which cable categories are acceptable.
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.