A thin circular ring of mass Mand radius r is rotating about its axis with constant angular velocity omega . Two objects each of mass m are attached gently to the opposite ends of a diameter of the ring . The ring now rotates with angular velocity given by

A thin circular ring of mass Mand radius r is rotating about its axis

1.	A thin circular ring of mass Mand radius r is rotating about its axis with constant angular velocity omega . Two objects each of mass m are attached gently to the opposite ends of a diameter of the ring . The ring now rotates with angular velocity given by
Answer» `((M + 2m) OMEGA)/(2m)` `(2M omega)/( M + 2m)` `((M + 2m) omega)/(M)` `( M omega)/(M + 2m)` Solution :As no EXTERNAL torque is ACTING about the AXIS, angular momentum of system remains conserved . `I_(1) omega_(1) = I_(2) omega_(2)` `IMPLIES omega_(2) = (I_(1) omega_(1))/(I_(2)) = (Mr^(2) omega)/(( M + 2m) r^(2)) = (M omega)/(( M + 2m))`