MechanicsFig. 2.2.17 Mechanical system and its network diagram: (a) system; (b) mechanicalequivalent circuit.We can generalize from this example to state that for a mechanical loopwith n elements geometrical compatibility requires that(vi+I -vi) = 0, (2.2.40)d=lwhere (v+1x -vv) is the velocity difference across the ith element takenpositive in the direction of summation. An equivalent relation for rotationalsystems can be obtained by summing angular velocity differences around aloop.In establishing the loop equations it is preferable to work with velocitydifferences as above. If displacements are used, the geometric compatibilityequations will contain constant terms, such as unstretched lengths of springs,and will be more complicated than (2.2.40).As stated earlier, the
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