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The disc is released from rest. The falling block causing it to rotate. After a ...

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The disc is released from rest. The falling block causing it to rotate. After a time t the block has fallen a height h and the disc has rotated through an angle θ=2 (i.e. the disc has completed one full rotation). Assume that the string is long enough that the block still causes the disc to accelerate. 

If we define

  • : the height through which the block has fallen after time t
  • : the velocity of the block at time t
  • : the angular velocity of the disc at time t

Which of the following are the correct expressions for and in terms of , the radius of the hub?

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