In an experiment

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

Problem

In an experiment, students obtain linear equations for two uniform rods rotated about identical fixed axes: Rod A:

K_{\text{rot}} = 0.025\,\omega^2

(J) Rod B:

K_{\text{rot}} = 0.040\,\omega^2

(J) Which statement correctly compares the rods’ moments of inertia? (a) Rod A has the larger moment of inertia because

1/0.025 > 1/0.040

. (b) Rod B has the larger moment of inertia because its slope is greater. (c) Rod A has the larger moment of inertia because for the same

\omega

it has less rotational kinetic energy, so it resists rotation more. (d) The comparison cannot be made without knowing the masses of the rods.