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 Band the hinge at C is DBC = 2 m, and the distance between A and the hinge at C is DAC = 3m. Suppose that |FA = 400 N. Dac Dạc a) Draw a Free Body Diagram to represent this set-up.

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.3.31P: Space Frame ABC is clamped at A, except it is free to rotate at A about the x and y axes. Cables DC...
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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 Cand 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 Band 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
BB
Dạc
a)
Draw a Free Body Diagram to represent this set-up.
Transcribed Image Text: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 Cand 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 Band 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 BB Dạc 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|.
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|.
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