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Units And Measurement

Question
CBSEENPH11020292

A hoop of radius r and mass m rotating with an angular velocity ω0
is placed on a rough horizontal surface.The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?

  • 0/4

  • 0/3

  • 0/2

  • 0

Solution

C.

0/2

From conservation of angular momentum about any fixed point on the surfacemr squared straight omega subscript 0 space equals space 2 mr squared straight omega
therefore space straight omega space equals space straight omega subscript 0 over 2
therefore space straight V subscript CM space equals fraction numerator straight omega subscript 0 straight r over denominator 2 end fraction space