Rotation 5 Question 23

35. A rod of length L and mass M is hinged at point O. A small bullet of mass m hits the rod as shown in the figure. The bullet gets embedded in the rod. Find angular velocity of the system just after impact.

(2005, 2M)

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Answer:

Correct Answer: 35. 3mvL(3m+M)

Solution:

  1. Angular momentum of the system about an axis perpendicular to plane of paper and passing through O will remain conserved.

Li=LfmvL=Iω=mL2+ML23ωω=3mvL(3m+M)



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