Solution Found!
Solved: Mass and density A thin wire represented by the
Chapter 13, Problem 62E(choose chapter or problem)
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.
\(C: \mathbf{r}(\theta)=\langle\cos \theta, \sin \theta\rangle, \text { for } 0 \leq \theta \leq \pi ; \rho(\theta)=2 \theta / \pi+1\)
Questions & Answers
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
Step 1 of 3