A thin rod AB of mass m and Length ‘l' is lying on a frictionless horizontal surface. Two forces, each of magnitude F are applied to the rod at points A and M. Then select the correct option.
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a
Acceleration of centre of mass is Fm
b
Angular acceleration of the rod is 9Fml
c
Acceleration of centre of mass is F2m
d
The rod is not in transnational equilibrium
answer is B.
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Detailed Solution
Net force on the rod = F - F = 0. So acceleration of centre of mass is zero and the rod is transnational equilibrium.Resultant torque about the centre of mass C=F . l2 + F . l4=3Fl4.Moment of inertia of the rod about an axis perpendicular to the rod passing through the centre of mass IC=112 ml2∴ Angular acceleration α = τIC = 3Fl4 × 12ml2 = 9Fml