the linear charge density of a thin metallic rod varies with the distance `x` from the end as `lambda=lambda_(0)x^(2)(0 le x lel)` The total charge on the rod is

If linear charge density of a wire of length L depends on distance x from one end as lambda=(lambda_(0)(x))/(L .Find total charge of wire :-

[" A wire of length "L" is placed along "x" &axis "],[" with one end at the origin.The linear charge "],[" density of the wire varies with "],[" Q."" distance "x" from the origin as "lambda=lambda_(0)((x^(3))/(L))" ."],[" Where "varnothing_(0)" is a positive constant.The total "],[" charge "Q" on the rod is "]

The linear mass density of a rod of length 2L varies with distance (x) from center as lambda=lambda_(0)(1+(x)/(L)) .The distance of COM from center is nL.Then n is

The density of a thin rod of length l varies with the distance x from one end as rho=rho_0(x^2)/(l^2) . Find the position of centre of mass of rod.

The density of a thin rod of length l varies with the distance x from one end as rho=rho_0(x^2)/(l^2) . Find the position of centre of mass of rod.

The linear charge density of a uniform semicircular wire varies with theta shown in the figure as lambda=lambda_(0)costheta if R is the radius of the loop ,of the charge on the wire is

A rod of length L is placed along the x-axis between x = 0 and x = L. The linear density (mass/ length) lambda of the rod varies with the distance x from the origin as lambda = Rx . Here, R is a positive constant. Find the position of centre of mass of this rod.

Linear mass density of a rod AB(of length 10 m) varies with distance x from its end A as lambda = lambda_0x^3 ( lambda_0 is positive constant) . Distance of centre of mass of the rod , from end B is

Linear mass density of a rod AB ( of length 10 m) varied with distance x from its end A as lambda = lambda_0 x^3 ( lamda_0 is poitive constant). Distance of centre of mass the rod, form end B is

Linear mass density of a rod AB ( of length 10 m) varied with distance x from its end A as lambda = lambda_0 x^3 ( lamda_0 is positive constant). Distance of centre of mass the rod, form end B is