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Units And Measurement

Question
CBSEENPH11020696

A gramophone record is revolving with an angular velocity ω. A coin is placed at a distance r from the centre of the record. The static coefficient of friction is μ. The coin will revolve with the record if

  • r = μgω2

  • straight r space less than space straight omega squared over μg
  • straight r space less or equal than space μg over straight omega squared
  • straight r space greater or equal than space μg over straight omega squared

Solution

C.

straight r space less or equal than space μg over straight omega squared

When the disc spins the frictional force between the gramophone record and coin is μ mg
The coin will revolve with record, if 

straight F subscript frictional space greater or equal than space straight F space centripetal
straight mu space mg space greater or equal than space straight m space straight omega squared straight r

μg over straight r space greater or equal than space straight omega squared space