A uniform beam AB AB\,AB has length 4.8 m and mass 120 kg. It is held horizontally by a vertical steel cable at A A\,A and a smooth support at CCC, where AC=4AC=4AC=4 m. Cable categories P, Q and R can withstand maximum tensions of 1500 N, 1650 N and 1800 N, respectively. The support can withstand a maximum force of 2600 N.
Use g=9.8 m s−2g=9.8\text{ m s}^{-2}g=9.8 m s−2. Each component must be capable of withstanding at least 3.5 times the force present in the beam.
Show that the support satisfies this safety requirement.
Determine which cable categories satisfy the safety requirement.
State how the assumption that the beam is uniform has been used.
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.