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Q.

A uniform rod AB of mass m and length 2a is falling freely without rotation under gravity with AB horizontal. Suddenly the end A is fixed when the speed of rod is V. The angular speed with which the rod begins to rotate is

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a

V3a

b

4V3a

c

3V4a

d

V2a

answer is D.

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Detailed Solution

     Question Image

angular momentum about A will be conserved ie,

Li=LfmVa=IωmVa=m(2a)23ωω=3v4a

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A uniform rod AB of mass m and length 2a is falling freely without rotation under gravity with AB horizontal. Suddenly the end A is fixed when the speed of rod is V. The angular speed with which the rod begins to rotate is