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A disc of radius R = 20.0 cm, mass M = 2.5kg is mounted on a...

A disc of radius R = 20.0 cm, mass M = 2.5kg is mounted on a frictionless, horizontal axle through O. A block of mass m = 5.0 kg is attached to a light string wrapped around the disc. When the block is released from rest from a height h = 2.25m above the floor, it accelerates  downward to hit the floor.

A) What is the potential energy of the block (in units of J) before it is released?

(Take the potential energy of the block as zero at h = 0.)

B) Using conservation of energy, determine vf (in m/s), the speed with which m hits the floor.

C) In terms of vf , calculated in the question above, what is the value of the tangential acceleration of a point P on the rim of the disc when m hits the floor?

D) In terms of vf , calculated above, what is the value of the radial acceleration ac of a point on the disc 10.0 cm from the center of the disc when m hits the floor?

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