For a system of discrete particles

PHYSICS · Single correct · A Level · Physics · Engineering physics · Engineering physics

Problem

For a system of discrete particles, each of mass

m_i

positioned at perpendicular distance

r_i

from a fixed axis, the moment of inertia

I

about that axis is given by ____. (a)

I = \dfrac{1}{2}\,\sum_i m_i r_i^{2}

(b)

I = \dfrac{\sum_i m_i r_i^{2}}{n}

(c)

I = \sum_i m_i r_i^{2}

(d)

I = \dfrac{\left(\sum_i m_i\right)\left(\sum_i r_i^{2}\right)}{n}