Disc A is rotating at and is slowing down uniformly with angular deceleration

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

Problem

Disc A is rotating at 10 rad s−110\,\text{rad s}^{-1} and is slowing down uniformly with angular deceleration 0.5 rad s−20.5\,\text{rad s}^{-2}. At the same instant, Disc B located at the same origin starts from rest and accelerates uniformly at 1 rad s−21\,\text{rad s}^{-2} in the same sense of rotation. After how much time will the two discs have turned through the same angular displacement from the common starting position? (a) 6.7 s6.7\,\text{s} (b) 13.3 s13.3\,\text{s} (c) 10 s10\,\text{s} (d) 20 s20\,\text{s}

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