One end of a uniform 2.5-m-long rod of weight 80 N is supported by a cable at an angle of θ = 33° with the rod. The other end rests against the wall, where it is held by friction as shown in the following figure. (Note: There is no hinge at point A.)

Question

What is the frictional force exerted by the wall on the rod at point A?

Answer 1

summing moments about the wall end: 80(2.5/2)-tension*2.5*sin33=0
solve for tension in that.

now sum moments about the center of the rod: forcefriction*2.5-tension(2.5*sin33)
solve for force friction