The 100-lb door has its center of gravity at G. Determine the components of reac
ID: 1828830 • Letter: T
Question
The 100-lb door has its center of gravity at G. Determine the components of reaction at hinges A and B if hinge B resists only forces in the x and y directions and A resists forces in the x,y,z directions
Needed help solving for the components/setting up a free body diagram.
Explanation / Answer
Usually when you sum the torque you can get all the possible information to solve the problem.
? = - mgd - Mg(L/2) + Tcos(60)*L = 0
T = 4120 N
For the horizontal component of the hinge force Fx = 0
Fx, hinge + Tsin(60 degrees) = 0
Fx, hinge = - Tsin(60 degrees) = -2060 N
Similarly the vertical hinge force is also Fy = 0
Fy, hinge - mg - Mg + Tcos(60 degrees) = 0
Fy, hinge = mg + Mg - Tcos(60 degrees) = 1640 N
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