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 B = 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. DAC Dạc OK

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
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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Write down equations for static equilibrium.

Calculate the moment about C, and leave the answer in terms of the unknow force of magnitude |FB|

After that Caclulate |FB|

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 FB 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.
DAC
A/a
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 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 FB 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. DAC A/a BB Dạc a) Draw a Free Body Diagram to represent this set-up.
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please explain for c) what is Sum of M at hinge

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