Question

12) A 1700kg car is pulling a 3000 kg trailer over a bridge. The bridge is uniform in density and has mass 5500 kg. The only two supports on the bridge are the two pillars shown. The bridge is at static equilibrium. Call the two forces F and FR for the left and right pillars respectively. Respect standard sign conventions (as mentioned at the beginning of the exam). a) Using a rotational equation with the axis of rotation at the right-hand pillar, find the force exerted on the bridge by the left-hand pillar 1.5mm b) Find the force exerted on the bridge by the right-hand pillar Page 6

Answer 1

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mi=30ooks M2 = 17ooks my=55ookg a) Net torone about right pilles i about right fills 12m (left) 12m 2412m end, isten (Right) {+12 - Myg xb-migx15 + Mzgx0.5=0 RX 12-5500X9.886- 3000x9-8x1.5+ 170089.8x0.5 = » R = Reaction at left piller=29930.833 N. b) also, net torque about Left end piller =0 . Mogx 6 + mig x 10.5 + Mzgx12.5-RR*12=0 5500X9.8x6+ 3000x9.8x10-5+1700x9-8x12.5 - Rex12=0 RR = 70029. 1669N) And Seven