Three particles, each of mass 200 g, are kept at the corners of an equilateral triangle of side 10 cm. Find the moment of inertia of the system about an axis (a) joining two of the particles and (b) passing through one of the particles and perpendicular to the plane of the particles.

Question

Philoid · Accepted Answer

Given data-

Mass of the particle = 200 g = 0.20 kg.

Length of the equilateral triangle r = 10 cm or 0.10 m.

Perpendicular distance on axis

AD = √3/2 × 10 = 5√3 m

(a)Let’s take the side BC-

Now, moment of inertia along BC

Where,

m=mass of the particle

r=distance or radius

Substituting the values-

(b) Let’s take AD as perpendicular side.

Now, moment of inertia along BC

Substituting the values-

Three particles, each of mass 200 g, are kept at the corners of an equilateral triangle of side 10 cm. Find the moment of inertia of the system about an axis(a) joining two of the particles and(b) passing through one of the particles and perpendicular to the plane of the particles.

Three particles, each of mass 200 g, are kept at the corners of an equilateral triangle of side 10 cm. Find the moment of inertia of the system about an axis
(a) joining two of the particles and

(b) passing through one of the particles and perpendicular to the plane of the particles.