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A fixed hollow frictionless cone is positioned with its tip pointing down. A par

ID: 2138652 • Letter: A

Question


A fixed hollow frictionless cone is positioned with its tip pointing down. A particle is released from rest on the inside surface. After it has slid part way down to the tip, it bounces elastically off a platform. The platform is positioned at a 45 degree angle along the surface of the cone, so the particle ends up being deflected horizontally along the surface (in other words, into the page in Fig. 5.30). If the resulting motion of the particle is a horizontal circle around the cone, what is the ratio of initial height of the particle to the height of the platform?


Please show all steps and calcualtions.


If you upload an image please make sure every thing is clear and your writing is legible.


A fixed hollow frictionless cone is positioned with its tip pointing down. A particle is released from rest on the inside surface. After it has slid part way down to the tip, it bounces elastically off a platform. The platform is positioned at a 45 degree angle along the surface of the cone, so the particle ends up being deflected horizontally along the surface (in other words, into the page in Fig. 5.30). If the resulting motion of the particle is a horizontal circle around the cone, what is the ratio of initial height of the particle to the height of the platform? Please show all steps and calcualtions. If you upload an image please make sure every thing is clear and your writing is legible.

Explanation / Answer


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