Two farmers are pushing on a gate with forces FA and Fg, applied at locations A and Brespectively. 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 = 35° and the force Fg is applied at an angle of 3= 70". The distance between Band the hinge at C'is Dpc = 1.5m, and the distance between A and the hinge at Cis DAC = 2m. Suppose that |Fa| = 100 N. 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 |Fg|- d) Calculate Fal-
Two farmers are pushing on a gate with forces FA and Fg, applied at locations A and Brespectively. 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 = 35° and the force Fg is applied at an angle of 3= 70". The distance between Band the hinge at C'is Dpc = 1.5m, and the distance between A and the hinge at Cis DAC = 2m. Suppose that |Fa| = 100 N. 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 |Fg|- d) Calculate Fal-
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 1.3.26P: A plane frame with a pin support at A and roller supports at C and £ has a cable attached at E....
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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 = 35° and the force Fg is applied at an angle of 3 = 70°. The
distance between Band the hinge at Cis DBC = 1.5 m, and the distance between A and the hinge at Cis
DAC = 2 m. Suppose that |FA| = 100 N.
Aa
Dac
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 | Fg|-
d)
Calculate Fa|-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d8b7bee-36d5-492d-920f-c603eda04374%2Fb01e3994-bcc3-4740-a82f-824964a3e42c%2Fu8npou4_processed.png&w=3840&q=75)
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 = 35° and the force Fg is applied at an angle of 3 = 70°. The
distance between Band the hinge at Cis DBC = 1.5 m, and the distance between A and the hinge at Cis
DAC = 2 m. Suppose that |FA| = 100 N.
Aa
Dac
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 | Fg|-
d)
Calculate Fa|-
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