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The radius of gyration or gyradius of a body is always about an axis of rotation. It is characterized as the spiral distance to a point which would have a moment of inertia. The radius of gyration is a geometric property of a rigid body. For example, the centre of mass. It is equivalent to the body’s real dissemination of mass.
These two factors can be separated by expressing the M I as the product of the mass ( M) and the square of a particular distance ( k) from the axis of rotation. This distance is called the radius of gyration and is defined as given above. Thus, Physical significance: The radius of gyration is less if I is less i.e., if the mass is distributed ...
Radius of gyration of a uniform disc about a line perpendicular to the plane of disc is equal to its radius R. If the distance of the line from the center is R √ x , find the value of x . View Solution
Write its physical significance. Radius of gyration is defined as the distance from the axis of rotation to a point where total mass of the body is supposed to be concentrated. 1. It the particles of body are distributed lose to axis of rotation,the radius gyration is less. 2.It the particles are distributed away from axis of rotation ,the ...
The radius of gyration of a disc of radius 25 cm about an axis passing through the center of the disc and perpendicular to the disc is approximately equal to: View Solution
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 related to the moment of inertia and the total mass of the body. Notice that we can write I = Mk 2 where k has the dimension of length.
Radius of gyration of a body about an axis (I A) is 5 m. Perpendicular distance of (I A) from center of mass of body is 3 m. Find its radius of gyration about an axis (I B) which is parallel to (I A) and also passing through center of mass of body.
The ratio of the radii of gyration of a circular disc and a circular ring of the same masses and radii about a tangential axis parallel to the their planes is: View Solution Q 5
The radius of gyration of a uniform solid sphere of radius R is √ 2 5 R for rotation about its diameter. Show that its radius of gyration for rotation about a tangential axis of rotation is √ 7 5 R.
What is radius of gyration and what is the formula to calculate it ? View Solution. Q5.
