Q.

A rod of mass m and length l is connected with a light rod of length l. The composite rod is made to rotate with angular velocity ω as shown in the figure. Find the ratio of the translational and rotational kinetic energy of the rod

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answer is 27.0.

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Detailed Solution

Translational kinetic energy of rod, Ktranslational =12mvc2Velocity of centre of mass vc=ω32lHence Ktranslational =12m3ωl22=98mω2l2Rotational kinetic energy of rod, Krotational =12Icω2=12ml212ω2=124mω2l2Ktranslational Krotational =98mω2l2124mω2l2=27
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A rod of mass m and length l is connected with a light rod of length l. The composite rod is made to rotate with angular velocity ω as shown in the figure. Find the ratio of the translational and rotational kinetic energy of the rod