Two farmers are pushing on a gate with forces FA and FB, applied at locations A and Brespectively. 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 = 30° and the force Fg is applied at an angle of B = 35°. 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 = 3 m. Suppose that |FA| = 400 N. DẠC A

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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can you help me with part d please

Question I
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 = 30° and the force Fg is applied at an angle of 3 = 35°. 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 = 3 m. Suppose that |FA| = 400 N.
DẠC
A
DBC
a)
Draw a Free Body Diagram to represent this set-up.
Transcribed Image Text:Question I 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 = 30° and the force Fg is applied at an angle of 3 = 35°. 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 = 3 m. Suppose that |FA| = 400 N. DẠC A 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 unknown force
magnitude |FB|.
d)
Calculate FB|.
Transcribed Image Text:b) Write down the equations for static equilibrium. c) Calculate the moment about C, leaving your answer in terms of the unknown force magnitude |FB|. d) Calculate FB|.
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