A non uniform cylinderical rod of mass 5kg, length 2m and radius 0.1m is having its center of mass at a distance 2 1 m from the centre and lying on the axis of the rod. The rod is kept in a liquid o

Question

A non uniform cylinderical rod of mass 5kg, length 2m and radius 0.1m is having its center of mass at a distance $\frac{1}{2} m$ from the centre and lying on the axis of the rod. The rod is kept in a liquid of uniform density $1400 kg / m^{3}$ . The moment of inertia of the rod about the centre of mass is $4 kg - m^{2}$ . Find the angular acceleration (in SI unit) of the rod just after the rod is released from the position shown in figure. If your answer is $n π$ , fill the value of n .

Question figure

TestHub · Accepted Answer

I α = ( V ρ g ) 4 ℓ ​ where V = π r 2 ℓ so α = 4 I π r 2 ρ g ℓ 2 ​ = 35 π = 110 rad / sec 2

Physics - Center of Mass Question with Solution | TestHub

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