Examples on Equilibrium

Problem-1 Calculate the tension T in the cable which supports the 500-kg mass with the pulley arrangement shown. Each pulley is free to rotate about its bearing, and the weights of all parts are small compared with the load. Find the magnitude of the total force on the bearing of pulley C. 4/20/2019

Solution 4/20/2019

Problem-2 A cantilever beam OABC is subjected to the forces and moment as shown. (i) Draw free body diagram of the cantilever beam OABC. (ii) Compute the reactions at the fixed support point O. Assume beam is weightless and its thickness is negligible compared to other dimensions. Note the two pulleys, shown in the figure, are smooth. 4/20/2019

Solution (i) Free body diagram of the cantilever beam (ii) Reactions at the fixed support O April 20, 2019

Problem-3 Determine the force P required to maintain the 200 kg weight in the position. The diameter of the pulley at B is negligible. Given, θ = 300 . 4/20/2019

Solution 600 150 P T 200×9.81 Free Body Diagram 4/20/2019

Problem-4 The uniform concrete slab shown in edge view has a mass of 25000 kg and is being hoisted slowly into a vertical position by the tension P in the hoisting cable. For the position where θ = 600 calculate the force T in the horizontal anchor cable. Assume support A is a roller. 4/20/2019

Solution Free Body Diagram of Slab 4/20/2019