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Two farmers are pushing on a gate with forces F_{A} and F_{B} 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 F_{A} is applied at an angle of alpha = 30 degrees and the force F_{B} is applied at an angle of beta = 35 degrees . The distance between B and the hinge at Cis D BC =2 m , and the distance between A and the hinge at C is D AC =3 m . Suppose that |F_{A}| = 400N
Two farmers are pushing on a gate with forces F_{A} and F_{B} 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 F_{A} is applied at an angle of alpha = 30 degrees and the force F_{B} is applied at an angle of beta = 35 degrees . The distance between B and the hinge at Cis D BC =2 m , and the distance between A and the hinge at C is D AC =3 m . Suppose that |F_{A}| = 400N
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 F B |
d) Calculate |F_{B}|
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