Three point masses are glued to a lightweight plate at the positions shown (coordinates in meters): 0.50kg at (0,0), 0.30kg at (0.60,0), and 0.20kg at (0,0.60). Calculate the rotational inertia of the system about an axis perpendicular to the plate and passing through the system’s center of mass.
a) 0.18kg⋅m2
b) 0.080kg⋅m2
c) 0.13kg⋅m2
d) 0.33kg⋅m2