You are on a swing 3.8 m long. your maximum displacement 17° from vertical, how fast will you be @ the bottom
[From: ] [author: ] [Date: 11-07-04] [Hit: ]
166 = 0.v^2=3.v = 1.8 m/s-Easiest way to solve this is to use simple trig to calculate the height above bottom due to the 17° angle.Then use conservation of kinetic/potential energy, with the understanding that the gain in kinetic energy (from 0) is equal to the loss in potential energy (due to change in height).......
The question says it all, but please dont give me the answer, I am trying to learn :)
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Height gain = 3.8 - 3.8*cos17 = 0.166 m
mg*0.166 = 0.5m*v^2
v^2=3.256
v = 1.8 m/s
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Easiest way to solve this is to use simple trig to calculate the height above bottom due to the 17° angle. Then use conservation of kinetic/potential energy, with the understanding that the gain in kinetic energy (from 0) is equal to the loss in potential energy (due to change in height).
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