3. The mechanism shown in below consists of rigid bar ABC pinned at C to nylon [E-200 ksi] rod (1), which has a diameter 0.25 in. and a length L-14 in. The linear compression spring, which is placed between the base of the mechanism at E and a rigid plate at D, has a spring constant k-940 lb/in. The base is rigid and fixed in position, and rigid bar ABC is horizontal before the load P is applied. Rod (1) is attached to plate D at the lower end of the spring. The nylon rod passes freely through the compression spring and through a hole in the base at E. Determine the value of load P that is needed to deflect end A downward by 2.0 in. Use dimensions a = 9.0 in., b = 3.0 in., and c = 5.0 in. b E D Rigid bar Base