Question: A rod of length L m has a linear density described by: A = ax + b kg/m. where x describes the distance in m from the left hand side ofthe rod (Figure 1). X ' I 4} dX XI: 0 Figure 1: A horizontally-aligned rod with a linear density of A. The denition of x is the distance from the lefthand side of the rod. Part 1) Give an expression for the mass, dm, of an increment of the rod with length dx, a distance x from the left hand side of the rod in terms of x and dx. dm = kg . \\ Part 2) Complete the definite integral below that you could solve to find the total mass of the rod. mrod I f(x) dx kg f ( x ) = X1 = X2 E Part 3) Write an algebraic expression to describe the distance of the centre of mass along the rod. Xcm m This expression should not be an integral, it should include L but not x