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What is the minimum time at a given angle on a cone with constant size?
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[QUOTE="kuruman, post: 6832610, member: 192687"] The law of sines is always two equations. In this case is $$\frac{s}{\sin\alpha} =\frac{\frac{1}{2}gt^2\cos\alpha}{\sin(\varphi/2)} =\frac{h}{\sin(\alpha+\varphi/2)}. $$ Did you use both? The first equation involving segment ##s## is needed to ensure that the point of intersection P is on the hypotenuse at time ##t##. It's probably easier and more straightforward to write equations for the position of the bead, ##x(t)## and ##y(t),## find the intersection with the hypotenuse and then minimize. [ATTACH type="full" width="160px" alt="StringSHortestTime.png"]318945[/ATTACH] [/QUOTE]
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Introductory Physics Homework Help
What is the minimum time at a given angle on a cone with constant size?
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