How to Calculate the Moment of Inertia of Two Point Masses?

How to calculate the moment of inertia of two point masses

Calculation of Moment of Inertia of Two Point Masses Object

The moment of inertia of two point masses object, M and m, separated by a distance x about an axis passing through the center of mass of the system and perpendicular to line joining the two particles is given by I = (Mm/M+m)x2.
Let us learn here how to calculate the moment of inertia of two point masses 'M' and 'm' separated by a distance x.
How To Calculate Moment Of Inertia Of Two Point Masses
Formula:
Moment of Inertia of Two Point Masses I = (Mm / M+m)x2
Where,
M, m = Two Point Masses
x = Distance
Moment Of Inertia Of Two Point Masses Formula
Step 1: Assume that object of masses M and m be 20kg and 15kg respectively, separated by a distance x of 5cm.
Moment Of Inertia Of Two Point Masses Example
Step 2: Applying the values in the formula,
Moment of Inertia (I) of Two Point Masses,
I = (Mm / M+m)x2
I = [(20x15) / (20+15)] x 52
I = (300 / 35) x 25
I = 214.28
Moment Of Inertia Of Two Point Masses Calculation


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