Solved: One-dimensional objects Find the mass and center

Chapter 14, Problem 11E

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QUESTION:

One-dimensional objects Find the mass and center of mass of the thin rods with the  following density functions.

\(\rho(x)=2-x^{2} / 16, \text { for } 0 \leq x \leq 4\)

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QUESTION:

One-dimensional objects Find the mass and center of mass of the thin rods with the  following density functions.

\(\rho(x)=2-x^{2} / 16, \text { for } 0 \leq x \leq 4\)

ANSWER:

Solution 11E

Step 1:

Given that

ρ(x) = 2 - x2/16, for 0 ≤ x ≤ 4

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