Achild of mass m is swinging on a swing set. the ropes attaching the swing to the top bar have length l. find the gravitational potential energy of the child relative to her lowest position when the ropes are (a) hanging straight down; (b) exactly horizontal; (c) at an angle θ from the vertical; and (d) at an angle phi from the horizontal.
Answers: 3
from the vertical. Vertically speaking, the child should be at a distance of 
to the swinging point, and a vertical distance of 
to the lowest position. His potential energy to this point would be:
from the horizontal. Suppose he is higher than the horizontal line. This would mean he's at a vertical distance of 
from the swinging point and higher than it. Therefore his vertical distance to the lowest point is 
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Achild of mass m is swinging on a swing set. the ropes attaching the swing to the top bar have lengt...
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