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A part isolated from mechanism __________ be in equilibrium.

  • A.cannot
  • B.may
  • C.may or may not
  • D.must

Answer: D

A part isolated from a mechanism must be in equilibrium.

In static force analysis, each link is taken out as a free body with all the forces and couples that act on it from neighbouring links, and from outside. If the mechanism as a whole is in equilibrium, every isolated part of it must be in equilibrium too, so the sums of forces and moments on it are zero. In dynamic analysis the same holds once the inertia forces are added, by D'Alembert's principle.

That requirement is what lets the unknown joint forces be found link by link. 'May', 'may or may not' and 'cannot' would make the free-body method useless.

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