The lifting mechanism below is driven by a chain connected at A that can exert a force P = 390 lb. The rollers at A and B have frictionless bearings and ride freely along the inclined track. W Draw the free-body diagram of the T-shaped rigid body ABCD, assuming d = ". Use the smallest number of vectors to express your solution (remember that there is no friction in this problem). Add force vector: Add moment: Delete selected object: Tolerance for placement of objects is 1/2 grid size Matlab/Mathematica input: a = 9; b = 16; d = 10; P = 390; Assume the dimensions are given by a = 9 in, b = 16 in and d = 10 in. a) What is the maximum weight W that can be placed at position d without failure of the chain? W = lb b) Determine the magnitude of the reaction force at the support B corresponding to the weight you obtained in part (a). RB = lb