Home
Class 11
PHYSICS
A rod of length L is placed along the x-...

A rod of length L is placed along the x-axis between `x=0` and `x=L`. The linear mass density (mass/length) `rho` of the rod varies with the distance x from the origin as `rho=a+bx`. Here, a and b are constants. Find the position of centre of mass of this rod.

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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.

A rod of length L is placed along the X-axis between x=0 and x=L . The linear density (mass/length) rho of the rod varies with the distance x from the origin as rho=a+bx. a.) Find the SI units of a and b b.) Find the mass of the rod in terms of a,b, and L.

A rod of length L is placed along the X-axis between x=0 and x=L . The linear density (mass/length) rho of the rod varies with the distance x from the origin as rho=a+bx. a.) Find the SI units of a and b b.) Find the mass of the rod in terms of a,b, and L.

A rod of length L is placed along the X-axis between x=0 and x=L . The linear density (mass/length) rho of the rod varies with the distance x from the origin as rhoj=a+bx. a. Find the SI units of a and b. b. Find the mass of the rod in terms of a,b, and L.

A rod of length L is placed along the x-axis between x=0 and x=L. The linear mass density is lambda such that lambda=a+bx . Find the mass of the 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 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.

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