[" A uniform thin rod "AB" of length "L" has "],[" linear mass density "mu(x)=a+(bx)/(L)" ,"],[" where "x" is measured from "A" .If the "CM],[" of the rod lies at a distance of "((7)/(12))L],[" from "A" ,then "a" and "b" are related as: "]

Find centre of mass of given rod of linear mass density lambda=(a+b(x/l)^2) , x is distance from one of its end. Length of the rod is l .

Find centre of mass of given rod of linear mass density lambda=(a+b(x/l)^2) , x is distance from one of its end. Length of the rod is l .

A thin rod AB of length a has variable mass per unit length rho_(0) (1 + (x)/(a)) where x is the distance measured from A and rho_(0) is a constant. Find the mass M of the rod.

A thin rod AB of length a has variable mass per unit length P_(0) (1 + (x)/(a)) where x is the distance measured from A and rho_(0) is a constant. Find the position of centre of mass of the rod.

The linear mass density of a thin rod AB of length L varies from A to B as lambda (x) =lambda_0 (1 + x/L) . Where x is the distance from A. If M is the mass of the rod then its moment of inertia about an axis passing through A and perpendicualr to the rod is :

The linear mass density of a thin rod AB of length L varies from A to B as lambda (x) =lambda_0 (1 + x/L) . Where x is the distance from A. If M is the mass of the rod then its moment of inertia about an axis passing through A and perpendicualr to the rod is :

Find coordinates of mass center of a non-uniform rod of length L whose linear mass density lambda varies as lambda=a+bx, where x is the distance from the lighter end.

Find coordinates of mass center of a non-uniform rod of length L whose linear mass density lambda varies as lambda=a+bx, where x is the distance from the lighter end.