A hemispherical bowl of radius R is rotating about its own axis (which is vertical) with an angular velocity `omega` . A particle on the frictionless inner surface of the bowl is also rotating with the same `omega` . The particle is a height h from the bottom of the bowl.
(i) Obtain the relation between h and `omega` _________
(ii) Find minimum value of `omega` needed, in order to have a non-zero value of h _____________ .

A hemispherical bowl of radius R=0.1m is rotating about its own axis (which is verticle) with an angular velocity omega . A particle of mass 10^(-2)kg on the smooth inner surface of the bowl is also rotating with the same omega . The particle is at a height h from the bottom of the bowl (a) obtain the relation betweemn 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 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=10m//s^(2))

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