Problem 8A person of mass m stands on the rim of a large disk of mass M and radius R.(r= R for the person) Initially the system rotates with angular velocity w aroundthe center of the disk. Then the person starts to walk towards the center of thedisk. Calculate the angular velocity of the system when the person is at 7- R/2.(Idisk = MR²/2. Treat the person as a point object, i.e. Iperson = mr²)AxismTARProblem 9 A rod of length L and mass M lies on the z axis between 0 and- L. The mass of the rod is non-uniformly distributed along its length in such a waythat the mass density takes the form2ML²Calculate the moment of inertia of the rod with respect to the origin, (z = 0).X20

Mass of person is m Mass of large disk is M Radius of disk is R Initial angular velocity is ωi We…

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