A uniform rod of length can rotate freely about four different axes: • Axis 1:…

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A uniform rod of length LL can rotate freely about four different axes: • Axis 1: through its center and perpendicular to its length • Axis 2: through one end and perpendicular to its length • Axis 3: through a point one-quarter of the length from one end and perpendicular to its length • Axis 4: along the rod’s length through its center Which of the following correctly ranks the rotational inertias I1,I2,I3,I_1, I_2, I_3, and I4I_4 from greatest to least? (a) I4>I1>I3>I2I_4 > I_1 > I_3 > I_2 (b) I2>I1>I3>I4I_2 > I_1 > I_3 > I_4 (c) I2>I3>I1>I4I_2 > I_3 > I_1 > I_4 (d) I1>I2>I3>I4I_1 > I_2 > I_3 > I_4

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