Physics, asked by ragul7690pa7q96, 7 months ago

Define " Radius of Gyration " & Explain it. Write it's units , Dimension formula

State and prove "perpendicular axis " theorem​

Answers

Answered by akshatmanral86
0

Answer:

Radius of gyration of a rigid body about an axis of rotation is the distance between the axis of rotation and a point at which the whole mass of the body can be supposed to be concentrated b/so that its moment of inertia would be the same with the actual distribution of mass. K = . Its S I unit is m and CGS unit is cm.

Answered by Khushipudi
2

Answer:

Define :

The distance from an axis at which the mass of a body may be assumed to be concentrated and at which the moment of inertia will be equal to the moment of inertia of the actual mass about the axis, equal to the square root of the quotient of the moment of inertia and the mass.

Explanation:

Radius of Gyration:

As a measure of the way in which the mass of a rotating rigid body is distributed with respect to the axis of rotation, we define a new parameter known as the radius of gyration. It is the distance whose square when multiplied with the mass of the body gives the moment of inertia of the body about the given axis.

"Perpendicular axis " :

The perpendicular axis theorem states that the moment of inertia of a planar lamina about an axis perpendicular to the plane of the lamina is equal to the sum of the moments of inertia of the lamina about the two axes at right angles to each other, in its own plane intersecting each other at the point where the .

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