By what distance h does the cage shown in the figure move downward when the weight W is placed inside it? (See the figure.) Consider only the effects of the stretching of the cable, which has axial...

By what distance h does the cage shown in the figure move downward when the weight W is placed inside it? (See the figure.)

Consider only the effects of the stretching of the cable, which has axial rigidity EA = 10,700 kN. The pulley at A has a diameter d_A
= 300 mm and the pulley at B has a diameter d_B
= 150 mm. Also, the distance L₁
= 4.6 m, the distance L₂
= 10.5 m, and the weight W = 22 kN. Note: When calculating the length of the

cable, include the parts of the cable that go around the pulleys at A and B.