A uniform thin rod of length and mass is mounted to rotate about an axis…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A uniform thin rod of length 1.0 m1.0\,\text{m} and mass 4.0 kg4.0\,\text{kg} is mounted to rotate about an axis perpendicular to the rod and located 0.25 m0.25\,\text{m} from the rod’s center. Engineers plan to relocate the axis to pass through the center of the rod. By approximately what percentage will the rod’s rotational inertia decrease after the relocation? (a) 17\% (b) 43\% (c) 33\% (d) 57\%

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