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A hemispherical bowl of radius R=0.1 m i...

A hemispherical bowl of radius R=0.1 m is rotating about its own axis (which is vertical) with an angular velocity `omega` A particle of mass 0.01 kg on the friction less inner surface of the bowl is also rotating with same `omega` The particle is at a height h from the bottom of the bowl.
(a) Obtain the relation between h and `omega` What is the minimum value of `omega` needed in order to have a non zero value of h ?
(b) It is desired to measure g using this set up, by measuring h accurately. Assuming that r and `omega` are known precisely, and that the least count in the measurement of h is `10^(-4)` m. What is the minimum possible error `Deltag` in the measured value of g ? `g = 9.8 m//s^(2)`

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