Solved: Mass and density A thin wire represented by the

Chapter 13, Problem 62E

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QUESTION:

Mass and density A thin wire represented by the smooth curve C with a density \(\rho\) (units of mass per length) has a mass \(M=\int_{C} \rho d s\). Find the mass of the following wires with the given density.

\(C: \mathbf{r}(\theta)=\langle\cos \theta, \sin \theta\rangle, \text { for } 0 \leq \theta \leq \pi ; \rho(\theta)=2 \theta / \pi+1\)

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QUESTION:

Mass and density A thin wire represented by the smooth curve C with a density \(\rho\) (units of mass per length) has a mass \(M=\int_{C} \rho d s\). Find the mass of the following wires with the given density.

\(C: \mathbf{r}(\theta)=\langle\cos \theta, \sin \theta\rangle, \text { for } 0 \leq \theta \leq \pi ; \rho(\theta)=2 \theta / \pi+1\)

ANSWER:

Solution 62E

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