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a 250mm lever and a 300mm diameter pulley are welded to the axle BE which is sup

ID: 2992031 • Letter: A

Question



a 250mm lever and a 300mm diameter pulley are welded to the axle BE which is supported by bearing at C and D. If a 450N vertical load is applied at A when the lever is horizontal, determine(a) the tension in the cord,(b) the reactions at C and D. Assume that the bearing at D does not exert any axial thurst

a 250mm lever and a 300mm diameter pulley are welded to the axle BE which is supported by bearing at C and D. If a 450N vertical load is applied at A when the lever is horizontal, determine(a) the tension in the cord,(b) the reactions at C and D. Assume that the bearing at D does not exert any axial thurst

Explanation / Answer

F*250 = T*150 T = 750 N In plane zx moment about C T*(150+50) = Rdx*150 Rdx = 1000 N Rdx + Rcx = T Rcx = -250 N In plane yz moment about D F*(150+100) = Rcy*150 Rcy = 750 N Rcy + Rdy = F Rdy = -300 N reaction at C = (750^2 + 250^2)^0.5 = 790.56 N reaction at D = (300^2 + 1000^2)^0.5 = 1044 N

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