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Statement of a problem № 3287

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A sphere of radius a oscillates at the bottom of a hollow cylinder of radius b in a plane at right angles to the axis which is horizontal. If the cylinder is fixed and the sphere does not slide, find T , the time period of oscillations in terms of a, b and g, the acceleration due to gravity.

Solution:
A sphere of radius a oscillates at the bottom of a hollow cylinder of radius b i

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