GK
PHYSICS
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Two equal masses attached to the ends of a 1-m massless rod will have greater moment of inertia compared to when they are attached to a 5-m, massless rod when the axis of rotation is at the center of the rod.
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False
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True
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Either A or B
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None of the above
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Explanation:
Detailed explanation-1: -Moment of inertia=m×r2 Here origin is chosen at the point through which the axis passes the rod. Using the formula total moment of inertia about the axis is =2×5×(0. 2)2+2×2×(0. 4)2=1.
Detailed explanation-2: -Thus, the moment of inertia of the rod about an axis perpendicular to its length and passing through its one end is 3ML.
Detailed explanation-3: -Therefore, the moment of inertia of the ring is highest.
Detailed explanation-4: -Moment of inertia of a thin rod of mass M and length L about an axis passing through its center is 12ML2.
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