Three particles, each of mass 4.0 kg, are fastened to each other and to a rotati

Question

Three particles, each of mass 4.0 kg, are fastened to each other and to a rotation axis by three massless strings, each 0.230 m long, as shown in the Figure. The combination rotates around the rotation axis with an angular velocity of 20.0 rad/s in such a way that the particles remain in a straight line.

What is the rotational inertia of the system?

What is the magnitude of the total angular momentum of the three masses?

If the outermost mass was to break free from the string, what would its linear momentum be?

Explanation / Answer

The MOI for a point mass will be I = Mr^2

By Parallel axis theorem ,

New MOI = Icm + mr^2

Using it we will have

I=4(0.23)^2+4(2*0.23)^2+4(3*0.27)^2

I = 3.6824 kgm^2

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