Advertisements
Advertisements
Question
On what factors does radius of gyration depend?
Advertisements
Solution
Factors on which radius of gyration depends:
- Shape and size of the body.
- Position and configuration of axis of rotation.
- Distribution of masses in the body with respect to axis of rotation.
- Moment of inertia of the body
APPEARS IN
RELATED QUESTIONS
Define radius of gyration.
Why is it useful to define the radius of gyration?
A cyclist riding a bicycle at a speed of `14sqrt3` m/s takes a turn around a circular road of radius `20sqrt3` m without skidding. Given g = 9.8 m/s2, what is his inclination to the vertical ______.
Find the radius of gyration of a uniform disc about an axis perpendicular to its plane and passing through its center.
The ratio of radii of gyration of a ring to a disc (both circular) of same radii and mass, about a tangential axis perpendicular to the plane is
The radius of the earth and the radius of orbit around the sun are 6371 km and 149 x 106 km respectively. The order of magnitude of the diameter of the orbit is greater than that of earth by ______.
The radius of gyration of a homogeneous body is independent of ______.
The radius of gyration of a uniform rod of length `l`, about an axis passing through a point `l/4` away from the centre of the rod, and perpendicular to it, is: ____________.
Four particles each of mass ‘M’ are placed at corners of a square of side ‘L’. The radius of gyration of the system about an axis perpendicular to the square and passing through its centre is ______.
A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated by the fly wheel in the next second, will be ______.
A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the circumferences of the discs coincide. The centre of mass of the new disc is α/R form the centre of the bigger disc. The value of α is ______.
There is a circular tube in a vertical plane. Two liquids which do not mix and of densities d1 and d2 are filled in the tube. Each liquid subtends 90° angle at centre. Radius joining their interface makes an angle α with vertical. Ratio d1/d2 is ______.
The ratio of the radii of gyration of a circular disc and a circular ring of the same radius about a tangential axis in the plane is ______.
Given the nuclear radius of 16O is 3.024 fm, find that of 235U.
What is the radius of gyration of a right circular cone of base radius R for rotation about the central symmetry axis of the cone?
Can you locate some similarity between the centre of mass and radius of gyration?
What can you infer if a uniform ring and a uniform disc have the same radius of gyration?
The ratio of radius of gyration of a ring to circular disc of same radii and mass about a tangential axis perpendicular to the plane is ______.
