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Two dics of moments of inertia I1 and I2...

Two dics of moments of inertia `I_1` and `I_2` about their respective axes (normal to the disc and passing through the centre), and rotating with angular speed `omega_1` and `omega_2` are brought into contact face to face with their axes of rotation coincident. Does the law of conservation of angular momentum apply to the situation? Why?

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