What is the Summation of Torques Equation for Figure P8.4?

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SUMMARY

The summation of torques equation for Figure P8.4 is derived by considering the forces acting on the object and their respective distances from point O. The equations established are ΣFx = -Rx + Fx = 0, ΣFy = Fy + Ry - Fg = 0, and the torque equation Στ requires the calculation of perpendicular distances from point O for forces Fg, Fy, and Fx. The distance 'l' is treated as the hypotenuse of a right triangle, which is crucial for determining the torque contributions of each force.

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Homework Statement


Write the necessary equation of the object shown in Figure P8.4. Take the origin of the torque equation about an axis perpendicular to the page through the point O. (Let counterclockwise torque be positive and let forces to the right and up be positive. Use q for θ and Rx, Ry, Fx, Fy, Fg, l, and g as appropriate in your equations.)

p8-4.gif


ΣFx=
ΣFy=
Στ=

The Attempt at a Solution


ΣFx = -Rx+Fx=0
ΣFy= Fy+Ry-Fg=0
Στ=

I can't figure out the summation of the torques
 
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For Fg,Fy and Fx, what are the perpendicular distances from O ? (Take the distance 'l' as the hypotenuse of a right angle triangle)
 

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