Question

A mass of 1.9 kg is located at the end of a very light and rigid...

A mass of 1.9 kg is located at the end of a very light and rigid rod 44 cm in length. The rod is rotating about an axis at its opposite end with a rotational velocity of 5 rad/s.

(a) What is the rotational inertia of the system?


(b) What is the angular momentum of the system?

Homework Answers

Answer #1

Mass of the object = M = 1.9 kg

Length of the rod = L = 44 cm = 0.44 m

The object is at one end of the rod and the axis is at the other end of the rod therefore the object is at a distance of 0.44 m from the axis.

Rotational inertia fo the system = I

I = 0.3678 kg.m2

Rotational velocity of the object = = 5 rad/s

Angular momentum of the system = L

L = I

L = (0.3678)(5)

L = 1.84 kg.m2/s

a) Rotational inertia of the system = 0.3678 kg.m2

b) Angular momentum of the system = 1.84 kg.m2/s

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