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Two metal disks are welded together and mounted on a frictionless axis through their common centre....

Two metal disks are welded together and mounted on a frictionless axis through their common centre. The radius, R1 of the first one is 2.5cm and its mass, M1 is 0.8 kg. The radius of the second disc, R2, is 5 cm and its mass, M2, is 1.6kg. A light string is wrapped around the edge of the smaller disc and a 1.5 kg block is suspended from the end of the string. If the block is released form rest at a distance of 2m above the floor:

  1. What is the total moment of inertia of the two disks?
  2. What is the speed of the mass just before it strikes the floor?
  3. If the string were instead wrapped around the larger disc would its speed be larger or smaller? Show your work.
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