Solution of task 17.1.22 from the collection of Kepe OE

Solution of task 17.1.22 from the collection of Kepe OE

17.1.22
The material point M of mass m = 4 kg moves according to the law s = 0.5 t2 + 0.5 sin 4t. At time t = 5 s, the radius of curvature of the trajectory of the point ρ = 4 m. Determine at this time the modulus of inertia of the material point. (Answer 42.2)