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#1 2008-09-14 01:52:56
- nashfire
- Member
- Registered: 2008-03-19
- Posts: 1
mechanics
plz help me....
prove that two couples of equal and opposite moments in parallel plane balance each other...
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#2 2008-09-15 01:48:22
- luca-deltodesco
- Member
- Registered: 2006-05-05
- Posts: 1,470
Re: mechanics
couples = pair of forces in a plane that are opposites acting on either side of a pivot, no linear momentum, only torque.
if two couples are acting in parallel planes, then the torques provided by the moments also lie in the same plane.
couples by definition give no linear momentum to an object, only torque so we have two torques lying in the same plane with equal magnitude and opposite direction which then cancel out.
I'm not sure exactly how you would like a proof formatted, but that is a description.
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