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Displacement of COM:Application

38.Two disc o...

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38.Two disc of moments of inertia I1 and I2 about their respective axes (normal to the disc and passing through the center),and rotating with angular speed omega 1 and omega2 are brought into contact face to face with their axes of rotation coincident . What is the loss in kinetic energy of the system in the process?

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Q. Two discs of moments of inertia

I_{1}

I_{2}

about their respective axes (normal to the disc and passing through the centre), and rotating with angular speeds

ω_{1}

ω_{2}

are brought into contact face to face with their axes of rotation coincident. (a) What is the angular speed of the two-disc system? (b) Show that the kinetic energy of the combined system is less than the sum of the initial kinetic energies of the two discs. How do you account for this loss in energy? Take

ω_{1} \neq ω_{2}

.

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