A) Determine the horizontal component of the force exerted by hinge A on the doo
ID: 1554158 • Letter: A
Question
A) Determine the horizontal component of the force exerted by hinge A on the door.
Express your answer to two significant figures and include the appropriate units. Enter positive value if the direction of the force is to the right and negative value if the direction of the force is to the left.
B) Determine the vertical component of the force exerted by hinge A on the door.
Express your answer to two significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward.
40 cm 2.30 m A 1.30 m 40 cmExplanation / Answer
Given that,
mass of door = 14 kg
weight W = 14*9.8 = 137.2 N
Each hinge supports half of the door's weight.
(B)
vertical component of the force exerted by hinge A on the door.
Fv = 137.2 / 2 = 68.6 N
Direction is upwards
(A)
Let, horizontal force = Fh
Net torque about the bottom hinge = 0
m*g * 1.3/2 + Fh * (2.30 - 0.4 - 0.4) = 0
137.2*0.65 + Fh*1.50 = 0
89.18 + 1.50*Fh = 0
Fh = -59.45 N
The negative sign shows that Fh is to the left.
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