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NEET 2017 Physics question

PhysicsSystems of Particles and Rotational MotionNEET 2017

Two discs of same moment of inertia rotating about their regular axis passing through centre and perpendicular to the plane of disc with angular velocities and . They are brought into contact face to face coinciding the axis of rotation. The expression for loss of energy during this process is

Answer: (2)

Solution

No external torque acts, so angular momentum is conserved: . Loss of kinetic energy: \dfracMissing superscript or subscript argument12 Iω_1^2\dfracMissing superscript or subscript argument12 Iω_2^2\dfrac\dfracMissing superscript or subscript argument12 I(ω_1^2Missing superscript or subscript argument+ω_2^2)$ -

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Question ID VK-092053