Hint: use definition of moment of inertia for a system of particles (slides 16-17).
Consider a system of three particles P1, P2, and P3 in 3D space (a right-handed coordinate system) such that:
The mass of P1 is 0.1 kg, the particle is located at point (r, 0, 0)
The mass of P2 is 0.3 kg, the particle is located at point (0, r, 0)
The mass of P3 is 0.5 kg, the particle is located at point (0, -r, 0)
where location is given by three coordinates (x, y, z).
Given r = 2.0 m, determine the moment of inertia of the system about the axis that is parallel to the y-axis and goes through location of particle P1. Please round to one (1) decimal place.