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A small sphere of mass m and radius r slides down a smooth stationary large sphe

ID: 2107034 • Letter: A

Question

A small sphere of mass m and radius r slides down a smooth stationary large sphere of radius R under the action of gravity from a position of rest at the top. Use Lagrange's equations to find the reaction of the sphere on the particle at any value theta, theta being the angle between the vertical diameter of the sphere and the normal to the sphere that passes through the particle. Find the value of theta at which the particle falls off.


I am quite curious about this problem. Would you please leave a bit of an explanation to explain the steps.

Explanation / Answer

https://docs.google.com/viewer?docex=1&url=http://www.feynmanlectures.info/solutions/particle_on_sphere_sol_1.pdf

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