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please answer A spool is rolling on horizontal surface with its inner radius in contact with surface. The outer surface of spool performs cycloid motion

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A spool is rolling on horizontal surface with its inner radius in contact with surface. The outer surface of spool performs cycloid motion going above and below the horizontal level. Any point P on outer circumference has velocity at 30N degrees angle with horizontal, when it is just crossing horizontal level. Then find the value of N. P

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