NEET
Exam NEET
Subject Physics
Chapter Rotational Motion NEET · Physics · Rotational Motion
Two discs of moments of inertia I 1 and I 2 about their respective...
Two discs of moments of inertia I1 and I2 about their respective axes (normal to the disc and passing through the centre), and rotating with angular speed ω1 and ω2 are brought into contact face to face with their axes of rotation coincident.Find the angular speed of the two-disc system.
Options A I 1 ω 2 + I 2 ω 2 ω 1 + ω 2 \frac{{{I}_{1}}{{\omega }_{2}}+{{I}_{2}}{{\omega }_{2}}}{{{\omega }_{1}}+{{\omega }_{2}}} ω 1 + ω 2 I 1 ω 2 + I 2 ω 2 B I 1 ω 1 + I 2 ω 2 I 1 + I 2 \frac{{{I}_{1}}{{\omega }_{1}}+{{I}_{2}}{{\omega }_{2}}}{{{I}_{1}}+{{I}_{2}}} I 1 + I 2 I 1 ω 1 + I 2 ω 2 C I 1 ω 1 + I 2 ω 2 ω 1 + ω 2 \frac{{{I}_{1}}{{\omega }_{1}}+{{I}_{2}}{{\omega }_{2}}}{{{\omega }_{1}}+{{\omega }_{2}}} ω 1 + ω 2 I 1 ω 1 + I 2 ω 2 D I 1 ω 1 + I 2 ω 1 ω 1 + ω 2 \frac{{{I}_{1}}{{\omega }_{1}}+{{I}_{2}}{{\omega }_{1}}}{{{\omega }_{1}}+{{\omega }_{2}}} ω 1 + ω 2 I 1 ω 1 + I 2 ω 1 Correct answer B. I 1 ω 1 + I 2 ω 2 I 1 + I 2 \frac{{{I}_{1}}{{\omega }_{1}}+{{I}_{2}}{{\omega }_{2}}}{{{I}_{1}}+{{I}_{2}}} I 1 + I 2 I 1 ω 1 + I 2 ω 2
Step-by-step solution
Correct Option is : (B)
I 1 ω 1 + I 2 ω 2 I 1 + I 2 \frac{{{I}_{1}}{{\omega }_{1}}+{{I}_{2}}{{\omega }_{2}}}{{{I}_{1}}+{{I}_{2}}} I 1 + I 2 I 1 ω 1 + I 2 ω 2
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