In the block-and-tackle arrangement shown in Figure P9.30, three segments of the single rope pull on the

Question:

In the block-and-tackle arrangement shown in Figure P9.30, three segments of the single rope pull on the block.

(a) Show that the magnitude \(F_{\mathrm{pr}}^{\mathrm{c}}\) of the force exerted by a person on the rope to raise the block at constant speed is \(m g / 3\), where \(m\) is the inertia of the block.

(b) One worker uses this arrangement to lift a heavy block, while another hauls up an identical block with a straight rope. After both blocks have been raised to the same second-floor window, has either worker done more work than the other? If so, which worker has done more work?

Data from Figure P9.30