1. Examples on Equilibrium

2. 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.
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3. Solution
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4. 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.
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5. Solution (i) Free body diagram of the cantilever beam
(ii) Reactions at the fixed support O
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6. 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 .
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7. Solution
600
150 P T
200×9.81
Free Body Diagram
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8. Problem-4
The uniform concrete slab shown in edge view has a mass of 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.
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9. Solution
Free Body Diagram of Slab
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