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A 0.70-kg lump of metal is attached to a string of negligible mass. The other end...

A 0.70-kg lump of metal is attached to a string of negligible mass. The other end of the string is held in place. The lump of metal is released from rest when the string is 5 degrees from vertical. It is observed that the string is vertical after 0.18 seconds.

  1. Determine the period of the oscillations.

  2. Determine the angular frequency of the oscillations.

  3. Determine the length of the string.

  4. What happens to the period of oscillation if the mass of the metal is doubled? Does it measurably increase, decrease, or remain the same?

  5. What happens to the period of oscillation if the release angle is doubled to 10 degrees? Does it measurably increase, decrease, or remain the same?

  6. What happens to the period of oscillation if the angle is increased to 90 degrees? Does it measurably increase, decrease, or remain the same?

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