Two farmers are pushing on a gate with forces Fa and FB, applied at locations A and B respectively. The gatehas 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°. Thedistance between Band the hinge at Cis DBC = 1.5 m, and the distance between A and the hinge at CisDAC = 2 m. Suppose that |FA| = 100 N.AaDaca)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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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-

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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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