The mechanism shown in the figure (Figure 1) is used to raise a crate of supplie

Question

The mechanism shown in the figure (Figure 1) is used to raise a crate of supplies from a ship's hold. The crate has total mass 65 . A rope is wrapped around a wooden cylinder that turns on a metal axle. The cylinder has radius 0.29 and a moment of inertia = 2.6about the axle. The crate is suspended from the free end of the rope. One end of the axle pivots on frictionless bearings; a crank handle is attached to the other end. When the crank is turned, the end of the handle rotates about the axle in a vertical circle of radius 0.12 , the cylinder turns, and the crate is raised.

Explanation / Answer

If you could ignore the inertia of the barrel, then you could just assume Tcrank = Tbarrel = 108.63Nm Since you have to apply some torque to accelerate the barrel, you have to use Tnet = Tcrank - Tbarrel = I * alpha You are given I. You have already solved for Tbarrel = 108.63Nm. You can find alpha from a. Then you can solve for Tcrank. You can use that value to find F.

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