Fluid MechanicsHard
Question
A non uniform cylinder of mass m, length l and radius r is having its centre of mass at a distance l/4 from the centre and lying on the axis of the cylinder as shown in the figure. The cylinder is kept in a liquid of uniform density ρ. The moment of inertia of the rod about the centre of mass is I. The angular acceleration of point A relative to point B just after the rod is released from the position shown in figure is


Options
A.
B.
C.
D.
Solution
′α′ will be same for all pointsTorque about CM
Fb.
= Iα 
⇒
(πr2) (l) (ρ) (g) .
α = 
′α′ will be same for all points
Fb.

⇒
′α′ will be same for all points
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