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This is called the Equivalence Principle. There are many formulas to go with it. But it is basically this:
A little reflection will show that the law of the equality of the inertial and gravitational mass is equivalent to the assertion that the acceleration imparted to a body by a gravitational field is independent of the nature of the body. For Newton's equation of motion in a gravitational field, written out in full, it is: (Inertial mass) (Acceleration) = (Intensity of the gravitational field) (Gravitational mass). It is only when there is numerical equality between the inertial and gravitational mass that the acceleration is independent of the nature of the body. -Albert Einstein
What else can I help you with?
What is the difference between mass moment of inertia and area moment of inertia?
Mass moment of inertia measures an object's resistance to rotational motion due to its mass distribution, while area moment of inertia measures an object's resistance to bending due to its shape and cross-sectional area. Mass moment of inertia depends on both the mass and its distribution, while area moment of inertia depends on the shape and how the material is distributed in the cross-section.
How to find the moment of inertia for a given object?
To find the moment of inertia for a given object, you need to know the mass of the object and the distance of each mass element from the axis of rotation. The moment of inertia is calculated by summing the products of each mass element and its distance squared from the axis of rotation. The formula for moment of inertia varies depending on the shape of the object.
Does mass affect inertia?
inertia is the laziness of an object, or an objects resistance to change its state of motion, or how easy it is to start or stop an object. Mass is the measure of an object's inertia. Therefore with more mass, an object has more inertia.
Which has more inertia 100 kg or 75 kg?
Given the question as is, neither - objects have to be in motion in order to have inertia, and your question does nothing to state that they are.
Mass moment of inertia of a disk?
The mass moment of inertia of a disk is given by the equation I = (m * r^2) / 2, where m is the mass of the disk and r is the radius. This equation represents the resistance of the disk to rotational motion around its center.
What is meant by Radius of gyration?
It is the square root of ratio moment of inertia of the given axis to its mass.
Two masses are in the ratio 1 4 what is the ratio of their inertia?
The ratio is the same. Inertia depends entirely on mass.
What is the difference between mass moment of inertia and area moment of inertia?
Mass moment of inertia measures an object's resistance to rotational motion due to its mass distribution, while area moment of inertia measures an object's resistance to bending due to its shape and cross-sectional area. Mass moment of inertia depends on both the mass and its distribution, while area moment of inertia depends on the shape and how the material is distributed in the cross-section.
How to find the moment of inertia for a given object?
To find the moment of inertia for a given object, you need to know the mass of the object and the distance of each mass element from the axis of rotation. The moment of inertia is calculated by summing the products of each mass element and its distance squared from the axis of rotation. The formula for moment of inertia varies depending on the shape of the object.
How does the mass of an objects affect inertia?
Mass is the measure of inertia and if you change the mass the inertia will change.
Does mass affect inertia?
inertia is the laziness of an object, or an objects resistance to change its state of motion, or how easy it is to start or stop an object. Mass is the measure of an object's inertia. Therefore with more mass, an object has more inertia.
The larger the mass the inertia?
Inertia is directly related to mass. More mass means more inertia.
Mass moment of inertia of a flywheel?
define moment of inertia§ I is the moment of inertia of the mass about the center of rotation. The moment of inertia is the measure of resistance to torque applied on a spinning object (i.e. the higher the moment of inertia, the slower it will spin after being applied a given force).
Which has more inertia 100 kg or 75 kg?
Given the question as is, neither - objects have to be in motion in order to have inertia, and your question does nothing to state that they are.
Mass moment of inertia of a disk?
The mass moment of inertia of a disk is given by the equation I = (m * r^2) / 2, where m is the mass of the disk and r is the radius. This equation represents the resistance of the disk to rotational motion around its center.
What factor measures inertia?
Mass is the factor that measures inertia. Inertia is the tendency of an object to resist changes in motion, and the greater the mass of an object, the greater its inertia.
Why is mass important when discussing inertia?
The amount of mass affects the amount of inertia. The greater the mass, the more inertia it possesses.
