(a) Starting from I = [r² dm, show that the moment of inertia of a uniform cylinder of massM and radius R (spinning about its central axis) is given by I =MR²2(b) A cart has four wheels, each a uniform disc of mass 1 kg and radius 0.5 m. The body of thecart has a mass of 6 kg. What is the total moment of inertia of the cart as it rolls down a slope?(c) The cart starts from rest and rolls down a slope a vertical distance of 5 m. How fast is itthen travelling? [Ignore friction and air resistance.]

Given(a) Starting from , show that the moment of inertia of a uniform cylinder of mass M and…

Answered: (a) Starting from I = | r² dm, show…

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