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 $E A=10,700 \mathrm{kN} .$ The pulley at $A$ has a diameter $d_{A}=300 \mathrm{mm}$ and the pulley at $B$ has a diameter $d_{B}=150 \mathrm{mm} .$ Also, the distance $L_{1}=4.6 \mathrm{m},$ the distance $L_{2}=10.5 \mathrm{m},$ and the weight $W=22 \mathrm{kN} .$ Note: When calculating the length of the cable, include the parts of the cable that go around the pulleys at $A$ and $B$
