Two farmers are pushing on a gate with forces FA and FB, applied at locations A and B respectively. The gate has a hinge at C and you may neglect the thickness of the gate. Assume that the gate is in static equilibrium. The force FA is applied at an angle of a = 20° and the force Fg is applied at an angle of B = 20°. The distance between B and the hinge at C is DBC = 2 m, and the distance between A and the hinge at C is DAC = 4 m. Suppose that FA 500 N. %3D DAC B B of

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter4: Coplanar Equilibrium Analysis
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I need help on part d)

Question 1
Two farmers are pushing on a gate with forces FA and FR, applied at locations A and
gate has a hinge at C and you may neglect the thickness of the
B respectively. The
gate. Assume that the gate is in static equilibrium. The force FA is applied at an angle
of a
20° and the force Fg is applied at an angle of B = 20°. The distance
between B and the hinge at C is DpC =2 m, and the distance between A and the
hinge at C is D AC = 4 m. Suppose that FA= 500 N.
F,
DAC
C.
A a
BB
DBc
Transcribed Image Text:Question 1 Two farmers are pushing on a gate with forces FA and FR, applied at locations A and gate has a hinge at C and you may neglect the thickness of the B respectively. The gate. Assume that the gate is in static equilibrium. The force FA is applied at an angle of a 20° and the force Fg is applied at an angle of B = 20°. The distance between B and the hinge at C is DpC =2 m, and the distance between A and the hinge at C is D AC = 4 m. Suppose that FA= 500 N. F, DAC C. A a BB DBc
a)
Draw a Free Body Diagram to represent this set-up.
b)
Write down the equations for static equilibrium.
c)
Calculate the moment about C, leaving your answer in terms of the unkno
magnitude |FB|
d)
Calculate FB.
Transcribed Image Text:a) Draw a Free Body Diagram to represent this set-up. b) Write down the equations for static equilibrium. c) Calculate the moment about C, leaving your answer in terms of the unkno magnitude |FB| d) Calculate FB.
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