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A Long Thin Rod Has Its One End at X λ\lambda

Question 45

Multiple Choice

A long thin rod has its one end at x = 0 and the other end at x = 2 m.Its composition is such that the linear mass density changes with length according to λ\lambda (x) = ax2 + bx+c,where x is the distance from one end of the rod.Given: a = 0.75 kg/m3,b = 0.5 kg/m2,and c = .25 kg/m,the mass of the rod is


A) 2.9 kg
B) 2.1 kg
C) 3.5 kg
D) 0.75 kg
E) 4.3 kg

Correct Answer:

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