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A small block of mass m is tied to the t...

A small block of mass `m` is tied to the top of a smooth inclined plane with the help of a string of length `L` as shown in the figure. The inclined plane of inclination `theta` with horizontal is rotated with an angular velocity `omega` about a verticle axis passing through the end of the string fixed to the plane.
(a) Find the maximum value of `omega` so that the block maintains contact with the inclined plane.
(b) Find the ratio of the tension in the string and the normal reaction between the block and the plane.

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