A 3.0 m long rod has a density described by C = a + bx, where C is the density in kilograms per meter of length, a = 5.0 kg/m, b = 5.0 kg/m2, and x is the distance in meters from the left end of the rod. The rod rests horizontally with its ends each supported by a scale. What do the two scales read?
Physics Static Equilibrium?
This is lookin' like a calc question to me so...
Hint though try attacking only half the rod since they'll both be the same as long as the density is the same throughout the rod and the scales are placed semetrically on the rod.
Not sure if this is right but try evaluating the integral of a+bx from 0 meters to 3 meters with your values for a and b from the problem in for a and b in the equation.
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