Grade 12th passIIT JEE Entrance Exam
How should the mass of a rotating body of radius r be distributed so as to maximize its angular velocity?
How should the mass of a rotating body of radius r be distributed so as to maximize its angular velocity?
1 Answer
Piku
Angular momentum, is a conserved quantity, meaning that the greater I is, the less angular velocity will be, and vice versa. In order to maximize angular velocity, then, it is necessary to minimize the moment of inertia. Since the moment of inertia is greater the farther the mass of a body is from its axis of rotation, we can maximize angular velocity by concentrating all the mass near the axis of rotation.
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