with this problem

HW17b.1 Particles (aka point masses) do not actually exist in the real worldmodelling an object as a particle is a simplifying assumption that is employed whenever possible because modelling an object as a particle is more straightforward than modelling it as a rigid body. So when can this simplifying assumption be applied? To explore the limits of when it is appropriate to model a body as a particle, compare the mass moment of inertia of a particle and the mass moment of inertia of a sphere that are both a distance d away from the relevant axis. Specifically, find the distance d that a sphere of radius r must be away from an axis for the mass moment of inertia of that sphere to be within 2% of the mass moment of inertia of a particle of the same mass and same distance away. State that distance as a function of the sphere radius. The mass moment of inertia of a particle P is Ip = md* where m is the mass of the particle and d is the distance between the particle and the relevant axis. The mass moment of inertia of a sphere S is J; = 2/5mr* + md? where m is the mass of the sphere, r is the radius of the sphere, and d is the distance between the Center of Mass of the sphere and the relevant axis. Hint: find the \" ratio that satisfies: 1.02/p = Is