GENERAL KNOWLEDGE

GK

PHYSICS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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.
A
False
B
True
C
Either A or B
D
None of the above
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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