A uniform solid disk of mass and radius moves across a horizontal surface with a…

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

Problem

A uniform solid disk of mass 4.0 kg4.0\,\text{kg} and radius 0.40 m0.40\,\text{m} moves across a horizontal surface with a translational speed of 3.0 m/s3.0\,\text{m/s}. At the same instant its angular speed about its center is ω=10 rad/s\omega = 10\,\text{rad/s}. Determine the disk’s rotational kinetic energy. (For a solid disk, I=12MR2I = \tfrac{1}{2}MR^{2}.) (a) 18 J18\,\text{J} (b) 16 J16\,\text{J} (c) 9.0 J9.0\,\text{J} (d) 32 J32\,\text{J}

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