1.

Two discs of moments of inertia I1 and I2about their respective axes (normal to the disc and passing throughthe centre), and rotating with angular speeds ω1and ω2 arebrought into contact face to face with their axes of rotationcoincident. (a) What is the angular speed of the two-disc system? (b)Show that the kinetic energy of the combined system is less than thesum of the initial kinetic energies of the two discs. How do youaccount for this loss in energy? Take ω1≠ ω2.

Answer»

Two discs of moments of inertia I1 and I2
about their respective axes (normal to the disc and passing through
the centre), and rotating with angular speeds ω1
and ω2 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 ω1
≠ ω2.



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