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Mathg09
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Homework Statement
Someone is going to push another person sitting on a swingset with the goal to make a whole 360 degree loop. What should the velocity be that the person pushes the swing to make this happen? You can make your own data about the height of the swingset but it's a swingset with chainlinks if that matter.
Homework Equations
(mv^2)/r = F - mg
mgh= (mv^2)/2
v = ω*r
The Attempt at a Solution
mg=m(v^2)/r in the top which gives v = sqrt (gr)
(m(initial v)^2)/2 = m((sqrt gr)^2)/2 + mg2r
Intial velocity should be sqrt 5gr I'm not sure I'm doing it right. would really appreciate some help, thanks in advance!
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