A horizontal disk of rotational inertia 24.25kgm^2 with respect to its axis of s

Question

A horizontal disk of rotational inertia 24.25kgm^2 with respect to its axis of symmetry is spinning counterclockwise about its axis of symmetry at 15.5 rev per secound on a frictionless massless bearing. A second disk, of rotational inertia 21.80kgm^2 with respect to its axis of symmetry, spinning clockwise about the same axis ( which is also its axis of symmetry) at 14.2 rev per second, is dropped on top of the first disk. The two disks stick together and rotate as one about their common axis of symmetry at what new angular velocity (units of radians per second)

Explanation / Answer

conserving angular momentum using clockwise as positive direction

-24.25*15.5+21.8*14.2=(24.25+21.8)w

w=-1.44*pi rad/s = 9.0477 radians /s (anticlockwise)

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