A beam whose centre of gravity divides it into two portions, a and b, is placed inside a smooth sphere; show that, if 0 be its inclination to the horizon in the position of equilibrium and 2a be the...

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Extracted text: A beam whose centre of gravity divides it into two portions, a and b, is placed inside a smooth sphere; show that, if 0 be its inclination to the horizon in the position of equilibrium and 2a be the angle subtended by the beam at the centre of the sphere, thom b - a tan Ө — tan a. b + a