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    magnitude of forces

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    A rectangular gate ABCD of mass 120kg where AB=1m and AD=3m is supported at A & B by pins where B is vertically above A. The reaction force at B is always horizontal. A person with mass 45k sits on the gate at C. Find the magnitude of forces A & B using moments.

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    Solution Preview

    The fig. shows various forces acting on the gate. Weight of the gate (1176 N) acts at its centre of mass, weight of the person (441 N) acts at point C, Reaction NB due to the hinge at B acts horizontally and reaction NA due to the hinge at A acts making an angle θ with the horizontal. NA has been resolved into components ...

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    The expert finds the magnitude of forces in this problem.