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Q.

A thin rod AB of length l is hinged at end A on the wall and the end B is tied to a horizontal string BC, which keeps the rod in inclined position making an angle of 30o with the vertical as shown in figure. When the string is gently burnt, the initial angular acceleration of the rod is

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a

3g4l

b

gl

c

3gl

d

g4l

answer is A.

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Detailed Solution

Just after the string is burnt, forces acting on the rod are as shown in the figure.Moment of all forces about A, MA=mg x l2sin30o∴α=MAIA=14mgl13ml2=3g4l
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