A block rests on a horizontal frictionless table. It is attached to a spring and
ID: 1260141 • Letter: A
Question
A block rests on a horizontal frictionless table. It is attached to a spring and set into motion. Consider what will happen to the frequency or period in each of the following situations.
Increase Stay the same or Decrease If the mass of the block is doubled, the frequency will _______.
Increase Stay the same or Decrease If the spring constant is cut in half (looser spring), the frequency will _______.
Increase Stay the same or Decrease If the spring constant is cut in half (looser spring), the period will _______.
Increase Stay the same or Decrease If the amplitude of the motion is doubled, the frequency will ______.
Explanation / Answer
T = 2pi sqrt(m /k )
f = (1 / 2pi) ( sqrt(k/m)) or f = 1/T
f' - final , f - initial , T - initial , T' - final
mass is doubled ,
f' = f / sqrt(2)
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f = f / sqrt(2)
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T = sqrt(2) T
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tfrquency is indepence of amplitude
f' = f
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