What is the concept of moment of inertia?
Moment of inertia, in physics, quantitative measure of the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of a torque (turning force). The axis may be internal or external and may or may not be fixed.
What is moment of inertia example?
Moment of Inertia Example Imagine you are on a bus right now. You find a seat and sit down. The bus starts moving forward. After a few minutes, you arrive at a bus stop and the bus stops.
What is moment of inertia in simple words?
The moment of inertia is a measure of how resistant an object is to changes in its rotational motion. The moment of inertia of the cross-section of a body is its resistance to changes in its rotation. It depends on how far each part of the body’s mass is from its center.
Is inertia measured by weight?
Inertia is a measure of an object’s resistance to changes in its state of motion or rest which is equal to the mass of the body or the amount of matter it has. In an uniform gravitational field the inertia of a body is directly proportional to its weight.
Why are torques called moments?
The direction of the force is important because the resulting motion of the object is in the same direction as the force. The product of the force and the perpendicular distance to the center of gravity for an unconfined object, or to the pivot for a confined object, is^M called the torque or the moment.
How is the moment of inertia of an object determined?
We defined the moment of inertia I of an object to be for all the point masses that make up the object. Because r is the distance to the axis of rotation from each piece of mass that makes up the object, the moment of inertia for any object depends on the chosen axis.
How to calculate the moment of inertia of a barbell?
In the case with the axis in the center of the barbell, each of the two masses m is a distance R away from the axis, giving a moment of inertia of In the case with the axis at the end of the barbell—passing through one of the masses—the moment of inertia is
What is the overall moment of inertia of a composite body?
The overall moment of inertia of your composite body is simply the sum of all of the adjusted moments of inertia for the pieces, which will be the sum of the values in the last column (or columns if you are finding the moments of inertia about more than one axis). Video Lecture Worked Problems: Question 1:
How to calculate the moment of inertia of a Merry Go Round?
The merry-go-round can be approximated as a uniform solid disk with a mass of 500 kg and a radius of 2.0 m. Find the moment of inertia of this system. Figure 10.29 Calculating the moment of inertia for a child on a merry-go-round. This problem involves the calculation of a moment of inertia.