- #1

SithsNGiggles

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## Homework Statement

A squirrel weighing 1.2 pounds climbed a cylindrical tree by following the helical path

[itex]x = \cos{t}, y = \sin{t}, z = 4t, 0 \leq t \leq 8 \pi [/itex]

(distance measured in feet)

How much work did it do?

## Homework Equations

[itex]\int_{C} \vec{F} \cdot d\vec{r}[/itex]

## The Attempt at a Solution

I've defined a curve [itex]C[/itex] by the vector

[itex]\vec{r}(t) = \cos{t} \vec{i} + \sin{t} \vec{j} + 4t \vec{k}[/itex],

[itex]0 \leq t \leq 8 \pi[/itex]

I'm not sure where to go from here. Specifically, I don't know how to use the weight of the squirrel. Every other problem I've worked on explicitly gave me a vector field to work with.

I know the bounds of the integral will be from 0 to 8π, and that r'(t) will be used.

Thanks in advance!