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Introductory Physics Homework Help
Why does the speed change at the bottom of the loop-the-loop?
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[QUOTE="kuruman, post: 6469690, member: 192687"] To add to what [USER=3546]@Doc Al[/USER] posted, this problem is no different from a pendulum bob at the end of a massless rod that is allowed to go all the way around from zero to 2π. You can write down the equation of motion, but you cannot solve it analytically to get the velocity as a function of time. That is why one resorts to the small angle approximation to describe the oscillatory motion of a simple pendulum. Mechanical energy conservation is equivalent to doing the so called first integral which allows you to find the velocity as a function of position. It involves the standard transformation $$a=\frac{dv}{dt}=\frac{dv}{dx}\frac{dx}{dt}=v\frac{dv}{dx}.$$ [/QUOTE]
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Introductory Physics Homework Help
Why does the speed change at the bottom of the loop-the-loop?
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