A cable and pulley system in figure part (a) supports a cage of mass 300 kg at B. Assume that this includes the mass of the cables as well. The thickness of each the three steel pulleys is t = 40 mm. The pin diameters are dpA = 25 mm, dpB = 30 mm and dpC = 22 mm [see figure, parts (a) and part (b)].
(a) Find expressions for the resultant forces acting on the pulleys at A, B, and C in terms of cable tension T.
(b) What is the maximum weight W that can be added to the cage at B based on the following allowable stresses? Shear stress in the pins is 50 MPa; bearing stress between the pin and the pulley is 110 MPa.

dpa-25 mm Li Cable Cable Pulley dpB Pin dns 22 mm dp Support bracket Cage at B Cage Section a-a: pulley support detail at A and C Section a-a: pulley support detail at B