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# second semester capstone 1

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• ### second semester capstone 1

1. 1. Swing Capstone-Nathaniel Gibson May 2012
2. 2. I have had a swing in my back yard that i have played on all my life. But what I hadn’t thought about until this year of physics, is what is actually happening when I am on the swing. I decided to ﬁgure out the forces acting on me.
3. 3. The time that it takes me to go throughone complete cycle(one period T) is 10.2 seconds. we can use this to ﬁnd the radius of the pendulum (swing)
4. 4. T(the period)=2*pi L/g L = g(T/2pi)^2 =25.8m25.8m
5. 5. fnet fnet fnetthe Fn vector changes direction and is vertical only at the bottom. the Fn vector magnitude the faster you go (max. at bottom) Mg stays the same.
6. 6. I startedabout 8m use conservation of energy tofrom the ﬁnd the velocity bottom 1/2mv^2=mgh 8m A so 25.8m V = 2gh h=R- 25.8^2-8.0^2 h=1.27m V=5.0 m/s
7. 7. at the bottom, all of the Fnet is the centripetal force fnet Fnet= mv^2/r =m5.0^2 25.8 =m .97m/s^2the normal force at the bottom is m(1.1g) which is only 10% more than my weight
8. 8. conclusion• it is a long but gentle ride