Torque with Symbolic Notation Problem

[esinn08]

Hi Everyone,

My question is as follows:

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 clockwise torque be positive and let forces to the right and up be positive. Use q for and Rx, Ry, Fx, Fy, Fg, l, and g as appropriate in your equations.) Find the sum of the forces in the x direction, the y direction, and the total torque. (I hope the picture I attached shows up!)

I've never been good with symbolic notation! I know Rx and Ry will go to zero, since there is no torque through the point of origin. Do I have to break Fg into its x and y components? Any suggestions would be greatly appreciated! Thanks so much!

 

[member 553083]

The equation for the torque about point O is: T = Fx * l - Fg * l * sin(q).The equation for the sum of the forces in the x direction is: Fx = Fg * cos(q).The equation for the sum of the forces in the y direction is: Fy = Fg * sin(q) + Ry - g.The total torque is: T = Fg * l * sin(q).