The end A of a thin rod AB of mass m and length l is hinged and the end B is attached to X string BC hanging from a ceiling. Just after the string is burnt
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a
angular acceleration of the rod is zero
b
angular acceleration of the rod is g/l
c
angular velocity of the rod is g/l2
d
reaction at the hinge A is less than mg
answer is D.
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Detailed Solution
Just after the string is burnt, weight mg produces a moment about the hinge and clockwise angular acceleration α=mg l213ml2=3glSo a vertically upward pseudo force m.αl2 acts on the rod as shown in figure. Because of the action of this pseudo force, N becomes less than mg.