Home
Class 12
PHYSICS
A thin circular plate of mass M and radi...

A thin circular plate of mass `M` and radius `R` has its density varying as `p(r)=p_(0) r` with `p_(0)` as constant and `r` is the distance from its center. The moment of inertia of the circular plate about an axis perpendicular to the plate and passing through its edge is `I=a MR^(2)`. The value of the coefficient a is:

A

`(3)/(5)`

B

`(1)/(2)`

C

`(8)/(5)`

D

`(3)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

A thin circular plate of mass M and radius R has its density varying as rho(r)=rho_(0)r with rho_0 as constant and r is the distance from its center. The moment of Inertia of the circular plate about an axis perpendicular to the plate and passing through its edge is I = aMR^(2) The value of the coefficient a is :

Consider a uniform square plate of of side and mass m . The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is -

The moment of inertia of a straight thin rod of mass M and length l about an axis perpendicular to its length and passing through its one end, is

From a circular disc of radius R and mass 9 M , a small disc of radius R/3 is removed from the disc. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through O is

Moment of inertia of a circular wire of mass M and radius R about its diameter is

A square plate of mass M and edge L is shown in the figure. The moment of inertia of the plate about the axis in the plane of plate and passing through one of its vertex making an angle 15^@ horizontal is

The moment of inertia of thin uniform circular disc about one of the diameter is I. Its moment of inertia about an axis perpendicular to the circular surface and passing through its centre is

From a disc of radius R, a concentric circular portion of radius r is cut out so as to leave an annular disc of mass M. The moment of inertia of this annular disc about the axis perpendicular to its plane and passing through its centre of gravity is

Moment of inertia of a uniform circular disc about a diameter is I . Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be.

The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the center is