A large iron cylinder of mass 265 kg rests so that its circular face rolls along

Question

A large iron cylinder of mass 265 kg rests so that its circular face rolls along the edge of a table as shown in the figure below. A smaller disk (radius 19 cm) is fastened to the circular face with its center axis aligned with the large cylinder such that the small disk extends beyond the edge of the table. A cable is wrapped around the smaller disk, which has half the radius and one-fourth the mass of the cylinder. With the entire assembly at rest, a mass of 4.7 kg is attached to the free end of the cable and allowed to descend through a distance h = 22 cm.

Explanation / Answer

a) total mass = 331.25kg

moment of inertia = 20.328 kg-m^2

b) kinetic energy = 10.1435J

c) V = 20.706 cm /sec

d) 14.666cm

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