A massless and inextensible rope is fixed to a wall at point O and is tied to
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Question:
A massless and inextensible rope is fixed to a wall at point O and is tied to another rope at point A, where the knot is loaded with mass m. The other rope passes a small fixed pulley B with negligible mass and no axis friction, and the free end of the second rope is loaded with mass M. The angle between the OA segment of the rope and the wall is α.
(a) Find the relation between m, M, and α for a static system.
(b) Find the angle ∠OAB for the case of m = M.
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