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08-05-2024
Mathematics

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A particle of mass m is released from rest on the horizontal rim of a fixed hemispherical bowl of radius r and slides downward under gravity.

(a) Assuming a friction coefficient u, find the differential equation for θ, the angle of the particle's position below the rim, measured from the center.
(b) Solve the differential equation to obtain θ as a function of θ

Answer :

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