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## Homework Statement

A child’s indoor swing consists of a rope of length L anchored to the ceiling, with a seat at the lower end. The total mass of child and seat is m. They swing in a horizontal circle with constant speed v, as shown in Fig. 6-2; as they swing around, the rope makes a constant angle 0 with the vertical. Assuming the time τ for one revolution (i.e., the period) is known, find the tension T in the rope and the angle θ.

## Homework Equations

ƩF=ma

_{c}=m(v

^{2}/r)

ƩF=mg

## The Attempt at a Solution

I decided the force from the child on the swing would be F

_{total}=( ƩF=mg and ƩF=ma

_{c}=m(v

^{2}/r)).

And the tension of the line is T

_{y}= F

_{total}cosθ and T

_{x}= F

_{total}sinθ

Therefore T=F

_{total}(cosθ+sinθ)

where F

_{total}=m(v

^{2}/r+g)

Rewritten: T=(m(v

^{2}/r+g))(cosθ+sinθ)

And, rearranging this equation would give me θ if I so desired.

Am I doing this right??

Thanks for help