I believe it is I = mk^2 where k is radius of gyration and m is mass.
Basically radius of gyration of a substance is defined as that distance from the axis of rotation from which if equivalent mass that of the substance is kept will have exactly the same moment of inertia about that axis of the substance.
Its diameter is 2R, whatever the mass.
Along the height it is hb^3/48 and along base it is bh^3/36
making the beam more solid by using more material or material with a higher density. Also, you could deflate the air out of it so it has less tendency to rise with hot air currents.
Second moment of area for triangle trough x-axis = (ah3)/36
It is the square root of ratio moment of inertia of the given axis to its mass.
radius of gyration = sqrt(Moment of inertia/cross section area) Regards, Sumit
The Radius of Gyration of an Area about a given axis is a distance k from the axis. At this distance k an equivalent area is thought of as a line Area parallel to the original axis. The moment of inertia of this Line Area about the original axis is unchanged.
Basically radius of gyration of a substance is defined as that distance from the axis of rotation from which if equivalent mass that of the substance is kept will have exactly the same moment of inertia about that axis of the substance.
mass moment of inertia is the property of the body to resist rotation about the given axis where as the area moment of inertia is the resistance to bending about the given axis
I=mr2 therefore r = root (I/m) = root (5/45) = 0.333 recuring
Radius of gyration is the distance from the centre of gravity to the axis of rotation to which the weight of the rigid body will concentrate without altering the moment of inertia of that particular body.
is a resisstance of a body is called inertia
Polar moment of inertia of an area is a quantity used to predict an object's ability to resist torsion.Moment of inertia, also called mass moment of inertia or the angular mass, (SI units kg m2, Imperial Unit slug ft2) is a measure of an object's resistance to changes in its rotation rate.
How do to determine the moment of inertia of a cub
Moment of Inertia of a disk (I) = 1/2MR2 Moment of Inertia of a disk (I) = 1/4MR2
Dimensional formula of moment of inertia = [ML2T0 ]