nbox (3) A large gate weighing 175 N Is supported by hinges at the top and botto

Question

nbox (3) A large gate weighing 175 N Is supported by hinges at the top and bottom of the wooden frame, and is further supported (Assume the positive x-direction is to the right and the y-direction is upward.) 1.5 m 3 m (a) What must the tension in the wire be for the force on the upper hinge to have no horizontal component? (b) What is the horizontal force on the lower hinge? (Take the direction of pushing the gate away from the hinges to be positive and the direction of pulling the gate towards the hinges to be negative.) eBook A uniform ladder of length L and mass m leans against a frictionless vertical wall, making an angle of 60° with the horizontal. The

Explanation / Answer

take moment about the lowest point

175*1.5 = (T/sqrt(2))*1.5 + (T/sqrt(2))*1.5

T = 123.74 N

b) F2x = T*(1/sqrt(2))

F2x = 87.5 N

c) F2y + F1y = 175 - T*[1/sqrt(2)]

F2y + F1y = 87.5 N

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