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 -
Consider a uniform square plate of side 'a' 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
Find the moment of inertia of a uniform half-disc about an axis perpendicular to the plane and passing through its centre of mass. Mass of this disc is M and radius is R.
If I moment of inertia of a thin circular plate about an axis passing through tangent of plate in its plane. The moment of inertia of same circular plate about an axis perpendicular to its plane and passing through its centre is
I is moment of inertia of a thin square plate about an axis passing through opposite corners of plate. The moment of inertia of same plate about an axis perpendicular to the plane of plate and passing through its centre is
A solid sphere of radius R has a mass distributed in its volume of mass density rho=rho_(0) r, where rho_(0) is constant and r is distance from centre. Then moment of inertia about its diameter is
A thin disc of mass M and radius R has mass per unit area sigma( r) =kx^(2) where r is the distance from its centre. Its moment of inertia about an axis going through its centre of mass and perpendicular to its plane is:
Moment of inertia of a thin circular plate of mass M , radius R about an axis passing through its diameter is I . The moment of inertia of a circular ring of mass M , radius R about an axis perpendicular to its plane and passing through its centre is