# How do you prove the parallel axis theorem?

## How do you prove the parallel axis theorem?

What is Parallel Axis Theorem? The moment of inertia of a body about an axis parallel to the body passing through its centre is equal to the sum of moment of inertia of the body about the axis passing through the centre and product of the mass of the body times the square of the distance between the two axes.

## How do you know when to use the parallel axis theorem?

The parallel axis theorem allows us to figure out the moment of inertia for an object that is rotating around an axis that doesn’t go through the center of mass.

Which of the following is correct for parallel axis theorem?

A) According to the parallel axis theorem if \[\;I\] about an axis is minimum, then \[I\]about any other axis parallel to the axis passing through the center of mass is more. Hence, it must pass through the center of mass. Therefore, option (A) is CORRECT.

### What is parallel to the axis?

A line is parallel to axes if either the x-coordinate or y-coordinate is fixed or constant throughout the line and it should pass from either (0, a) or (a, 0). For example, a line with the equation, 3x – 6 = 0 is parallel to y-axis, since for any value of ‘y’ the value of x remains the same, which is 2.

### How do you calculate rods?

Note: Length of TMT Steel rod will be 12 meters or 40 feet….Calculate the weight of the TMT rods in bundles as per size.

TMT Size TMT Rods Per Bundle TMT Weight Per Bundle
12mm (1 Bundle) 5 53.4 Kg
16mm (1 Bundle) 3 56.88 Kg
20mm (1 Bundle) 2 59.2 Kg
25mm (1 Bundle) 1 46.2 Kg

Why do you need the parallel axis theorem?

#### What does parallel axis theorem states?

Parallel axis theorem states that The moment of inertia of a body about an axis parallel to the body passing through its centre is the sum of moment of inertia of a body about the axis passing through the middle and product of the mass of the body times the square of the distance between the 2 axes.