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## Homework Statement

Walking by a pond, you find a rope attached to a tree limb 5.2 m off the ground. You decide to use the rope to

swing out over the pond. The rope is a bit frayed but supports your weight. You estimate that the rope might break if

the tension is 80 N greater than your weight. You grab the rope at a point 4.6 m from the limb and move back to swing

out over the pond. (a) What is the maximum safe initial angle between the rope and the vertical so that it will not break

during the swing?

## Homework Equations

U=mgy

[tex]F_a=m \frac{v^2}{r}[/tex]

## The Attempt at a Solution

[tex]\Sigma F = ma_c=m\frac{v^2}{r}=T-mg[/tex]

r=5.2-4.6=0.6