A bullet of mass m moving with velocity v 0 ( − k ^ ) strikes the bottom of a stationary vertical uniform ring of same mass m and radius R = 1 m . The ring lies in XY plane with its topmost point hi

Question

A bullet of mass m moving with velocity v 0 ​ ( − k ^ ) strikes the bottom of a stationary vertical uniform ring of same mass m and radius R = 1 m . The ring lies in XY plane with its topmost point hinged on the ceiling. The ring can rotate about X -axis. There is no friction between the hinge and the ring. The bullet gets embedded in the ring immidiately after collision. Find the angular velocity of the system (in radian /s) just after collision. [Take v 0 ​ = 11 m / s ]

TestHub · Accepted Answer

m v 0 ​ ⋅ 2 R = [ 2 3 ​ m R 2 + m ( 2 R ) 2 ] ω ; ω = 11 R 4 v 0 ​ ​ = 4 rad / s

Physics - Rotation Question with Solution | TestHub

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