A uniform sign of wight Fg and width 2L hangs from a light, horizontal beam hinged at the wall & supported by?

Question

a cable. Determine (a) the tension in the cable and (b) the components of the reaction force exerted by the wall on the beam, in terms of Fg, d, L, and angle

Answer 1

take the moments about the reaction force point of wall...

angle = x

T = Tension

Fx = x component of reaction force at wall

Fy = y component of reaction force at wall

Assuming the cable acts at d

a) Tsinx(d) - Fg(2L) = 0

T = 2FgL / dsinx

b) sum of forces in x direction = 0

Fx - Tcosx = 0

Fx = Tcosx

Fx = 2FgLcotx / d

sum of the force in y direction  = 0

Fy + Tsinx -Fg = 0

Fy = Fg - Tsinx

Fy = Fg - 2FgL / d

Fy = Fg (1 - 2L/d)