A non -uniform rod of length l having mass density `lamda(x) = (A+Bx^2)` is placed - x - axis with its ends at , `(a,0) and (a+ l, 0)` . The force it would exert on a point mass m kept at the origin is

A non uniform rod OM (of length l m) is kept along x-axis and rotating about an axis AB, which is perpendicular to rod as shown in the figure. The rod has linear mass density that varies with the distance x from left end of the rod according to lamda=lamda_(0)((x^(3))/(L^(3))) Where unit of lamda_(0) is kg/m. What is the value of x so that moment of inertia of rod about axis AB (I_(AB)) is minimum?

A non uniform rod OM (of length l m) is kept along x-axis and rotating about an axis AB, which is perpendicular to rod as shown in the figure. The rod has linear mass densty that varies with the distance x from left end of the rod according to lamda=lamda_(0)((x^(3))/(L^(3))) Where unit of lamda_(0) is kg/m. What is the value of x so that moment of inertia of rod about axis AB (I_(AB)) is minimum?

A non uniform rod OM (of length l m) is kept along x-axis and rotating about an axis AB, which is perpendicular to rod as shown in the figure. The rod has linear mass densty that varies with the distance x from left end of the rod according to lamda=lamda_(0)((x^(3))/(L^(3))) Where unit of lamda_(0) is kg/m. What is the value of x so that moment of inertia of rod about axis AB (I_(AB)) is minimum?

The mass per unit length of a non-uniform rod of length L is given by mu= lamdaxx2 ​, where lamda is a constant and x is distance from one end of the rod. The distance of the center of mass of rod from this end is :-

The mass per unit length of a non- uniform rod OP of length L varies as m=k(x)/(L) where k is a constant and x is the distance of any point on the rod from end 0 .The distance of the centre of mass of the rod from end 0 is

The mass per unit length of a non-uniform rod of length L is given by mu = lambdax^2 , where lambda is constant and x is distance from one end of the rod. The distance of the center of mass of rod from this end is