Solution of task 17.2.4 from the collection of Kepe OE

Solution of task 17.2.4 from the collection of Kepe OE

17.2.4
Determine the main moment of the inertia forces of the wheel relative to the center of mass O if the wheel rotates around it according to the law φ = 2t2, and the wheel mass equal to 2 kg is uniformly distributed along the rim of radius r = 20 cm. (Answer -0.32)