A round disc of moment of inertia I_(2) about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I_(1) rotating with an angular velocity omega about the same axis. The final angular velocity of the combination of disc is.............

A round disc of moment of inertia I_(2) about its axis perpendicular t

1.	A round disc of moment of inertia I_(2) about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I_(1) rotating with an angular velocity omega about the same axis. The final angular velocity of the combination of disc is.............
Answer» <html><body><p>`((I_(1)+I_(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>))omega)/(I_(1))` <br/>`(I_(2)omega)/(I_(1)+I_(2))` <br/>`omega`<br/>`(I_(1)omega)/(I_(1)+I_(2))` </p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :<img src="https://doubtnut-static.s.llnwi.net/static/physics_images/KPK_AIO_PHY_XI_P1_C07_E05_050_S01.png" width="80%"/> <br/> According to <a href="https://interviewquestions.tuteehub.com/tag/conservation-929810" style="font-weight:bold;" target="_blank" title="Click to know more about CONSERVATION">CONSERVATION</a> of momentum, <br/> `L=L.` <br/> `therefore I_(1)omega=(I_(1)+I_(2))omega.` <br/> `therefore omega.=(I_(1)omega)/(I_(1)+I_(2))`</body></html>