Question

A Iong slender rod of mass `2 kg` and length `m` is placed on a smooth horizontal table. Two particles of masses `2 kg` and ` 1kg` strike the rod simultaneously and stick to the rod after collision as shown in fig.

Angular velocity of the rod after collision is
A. `11/17rad//s`
B. `rad//s`
C. `19/17rad//s`
D. `30/17rad//s`

Answer 1

Correct Answer - D
Applying conservation angular momentum about the centre of the rod,
`[(2xx(4)^(2))/12+2xx(1)^(2)+1xx(1)^(2)]xomega=2xx10xx1-1xx10xx1`
`omega=30/17rad//s`