A toggle joint is a mechanism by which a comparatively small force P produces or balances...

A toggle joint is a mechanism by which a comparatively small force P produces or balances a force F that increases rapidly as the angle θ approaches 180°. For a given angle of θ, the toggle joint becomes equivalent to a simple truss. Force P = 10 lb, a = 2 ft, b = 5 ft, and c = 1 ft, as shown. Find force F. Neglect friction and the weights of the members.

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