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A 1.00-m–long straight rod is manufactured to have a smoothly increasing linear mass density, so that...

A 1.00-m–long straight rod is manufactured to have a smoothly increasing linear mass density, so that at one end, it is 20.0 g/cm, and at the other end, it is 100 g/cm. (a) Assuming you place the low-mass-density end at x = 0, write the equation for the linear mass density of the rod as a function of x. (b) Use your answer from part (a) to determine the total mass of the rod. (c) Use your answers from parts (a) and (b) to find the location of the center of mass of the rod.

Answer : a) (x)=(2.00+8.00x)kg/m; (b) 6.00 kg; (c) 0.611 m

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