Three point masses are glued to a lightweight plate at the positions shown…

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

Three point masses are glued to a lightweight plate at the positions shown (coordinates in meters):

0.50\,\text{kg}

(0,0)

0.30\,\text{kg}

(0.60,0)

, and

0.20\,\text{kg}

(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)

0.18\,\text{kg}\cdot\text{m}^2

(b)

0.080\,\text{kg}\cdot\text{m}^2

(c)

0.13\,\text{kg}\cdot\text{m}^2

(d)

0.33\,\text{kg}\cdot\text{m}^2