The diagram below shows a cross member of a bridge. The mass of the member is M
ID: 2061251 • Letter: T
Question
The diagram below shows a cross member of a bridge. The mass of the member is M = 141 kg and its center of mass is at its geometrical center. Two forces, (1) F ? (with both x and y components) acting at A and (2) R ? (also with both x and y components) acting at O, represent the contacts at the ends of the member. The angle ? = 41.7° and Ry = +2Mg.What is Rx (N)?
What is Fx (N)?
What is Fy (N)?
I don't even know where to begin how to solve for Rx and Fx. I know that Rx=-Fx. As for Fy:
Fy+Ry-Fg=0
Fy=Fg-Ry=mg-2mg
Fy=-mg=-141kg(9.8m/s^2)=-1381.8N
Please help me with how to solve for Rx and/or Fx. Here is the link to the image:
http://i43.tinypic.com/16iw70y.jpg
Explanation / Answer
taking moment at R
therefore moment equation we get is
l/2cosFg+lcosFx=lsinFy
by cancelling l (length in both sides)
Fx=-1922.03 N
taking forces in X and Y direction
Rx+Fx=0 (there is no gravitational force in X direction)
in y direction Fy+Ry-Fg=0
Rx= -Fx= 1922.03 N