You derive the total moment of inertia by integrating (adding up) the moments of inertia, of these masses.deep838 said:I mean to say that the bodies are not 2 dimensional, they only have length.. Like a rope. Only the distribution is not continuous, it is made of a number of masses
Yes, but is that value strictly different for two different bodies? Or can two mass distribution have the same moment of inertia?A.T. said:You derive the total moment of inertia by integrating (adding up) the moments of inertia, of these masses.
Of course they can.deep838 said:Or can two mass distribution have the same moment of inertia?
deep838 said:Yes, but is that value strictly different for two different bodies? Or can two mass distribution have the same moment of inertia?
The Moment of Inertia is a measure of an object's resistance to changes in its rotational motion. It depends on the mass and distribution of the object's mass relative to its axis of rotation.
The Moment of Inertia is calculated by summing the products of each mass element in an object and its squared distance from the axis of rotation. This is represented by the formula I = ∑mr², where I is the Moment of Inertia, m is the mass, and r is the distance from the axis of rotation.
Yes, the Moment of Inertia is different for every object as it depends on the mass and distribution of mass in the object. Objects with different shapes and sizes will have different Moments of Inertia even if they have the same mass.
Yes, the Moment of Inertia can change if there is a change in the distribution of mass in an object or if the axis of rotation is changed. This can affect the object's rotational motion and its resistance to changes in rotation.
Yes, the Moment of Inertia is strictly different from other measures of inertia, such as linear inertia or angular inertia. It is a specific measure that applies to rotational motion and is not interchangeable with other measures of inertia.