Question

The mass of a rigid rod is 0.60 kg and its length is 39.0 cm. Calculate the moment of inertia (in kg · m2) for the rod if it is pivoted about an axis through the center of mass of the rod. (Assume the axis is perpendicular to the rod. Enter your answer to at least three significant figures.) I = kg · m2 What is the physical meaning of the moment of inertia? The moment of inertia is the angular momentum of the object at a given instant in time. The moment of inertia is a measurement of how the radius of an object changes while it is rotating. The moment of inertia is a measurement of how much the object resists angular rotation. The moment of inertia is equivalent to the mass of the object.

Answer 1

A. 0.0076 kgm²

B. The moment of inertia is the measurement of how much the object resists angular rotation.

Step-by-step explanation:

Parameters given:

Mass, m = 0.6 kg

Length, L = 39 cm = 0.39 m

A. Moment of inertia of a rigid rod, I, is given as:

I = 1/12 * m * L²

I = 1/12 * 0.6 * 0.39²

I = 0.0076 kgm²

B. The moment of inertia is a property which measures an object's resistance to rotational acceleration about an axis (or more).

Therefore, it is a measurement of how much an object resists angular rotation.

Answer 2

Given Information:

Mass = M = 0.60 kg

Length = L = 39 cm = 0.39 m

Required Information:

Moment of inertia = I = ?

Answer:

Moment of inertia = 7.605x10⁻³ kg.m²

Step-by-step explanation:

The moment of inertia of a rigid rod about center is given by

I = (1/12)ML²

Where M is the mass of rod and L is the length

I = (1/12)*0.60*(0.39)²

I = 7.605x10⁻³ kg.m²

We know that inertia is the property of all objects to remain in motion or at rest unless an external force acts upon it, in the same way moment of inertia is a property to resist the change in its rotation about some axis.

Therefore, the physical meaning of the moment of inertia is that moment of inertia is a measurement of how much the object resists angular rotation.