Two discs are rotating about their axes, normal to the discs and passing through the centres of ....
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Two discs are rotating about their axes, normal to the
\( \mathrm{P} \)
discs and passing through the centres of the discs. Disc \( D_{1} \) has \( 2 \mathrm{~kg} \) mass and \( 0.2 \mathrm{~m} \) radius and initial angular velocity of \( 50 \mathrm{rad} \mathrm{s}^{-1} \). Disc \( D_{2} \) has \( 4 \mathrm{~kg} \) mass, \( 0.1 \mathrm{~m} \) radius and initial angular velocity of \( 200 \mathrm{rad} \mathrm{s}^{-1} \). The two discs are brought in contact face to face, with their axes of rotation coincident. The final angular velocity (in rad. \( \mathrm{s}^{-1} \) ) of the system is
(1) 60
(2) 100
(3) 120
(4) 40
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