This is the derivation of moment of inertia of a solid cylinder about an axis through it's center and perpendicular to it's axis. I understand the complete derivation but the line
Moment of inertia of elementary disk about diameter AB = 1/4 × mass × radius²
I don't understand why we have divided the mass by 1/4 please explain thoroughly. Step by step.
Asked by Varsneya Srinivas | 10th Oct, 2016, 07:42: PM
Answered by Romal Bhansali | 12th Oct, 2016, 09:33: AM
- If I is the moment of inertia of a solid body having alpha coefficient of linear expansion then the change in I corresponding to a small change in tempt delta T is
- What is the physical significance of moment of inertia?
- How moment of inertia of a body is different from its mass?
- The moment of inertia of a circulating ring passing through its centre and perpendicular to its plane is 400g cm2. If the radius of ring is 5 cm, find the mass of the ring.
- Convex and concave lenses of same mass and radius rotate about an axis passing through their centre and perpendicular to the plane. Which one will have greater moment of inertia?
- What do you mean by radius of gyration? Is radius of gyration a constant quantity?
- Why most of the mass of a flywheel is concentrated at the rim?
- What will be the radius of gyration of a thin rod of length l about an axis passing through one of its end and perpendicular to the length?
- A solid sphere and a thin spherical shell have same radius. Compare their radius of gyration.
- Define moment of inertia in terms of kinetic energy of rotation.
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Verify mobile number
Enter the OTP sent to your number