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 = 25° and the force FB is applied at an angle of ß = 70°. The distance between B and the hinge at C is D BC = 0.5 m, and the distance between A and the hinge at C is DAC = 1.5 m. Suppose that |FA| = 250 N.

Elements Of Electromagnetics
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can you help me with part a please

Question 1
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 =
25° and the force FB is applied at an angle of ß = 70°. The distance
between B and the hinge at C is DBC = 0.5 m, and the distance between A and the hinge at C is
DAC = 1.5 m. Suppose that |FA| = 250 N.
FA
DAC
BK B
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:Question 1 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 = 25° and the force FB is applied at an angle of ß = 70°. The distance between B and the hinge at C is DBC = 0.5 m, and the distance between A and the hinge at C is DAC = 1.5 m. Suppose that |FA| = 250 N. FA DAC BK B 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|.
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