Applied Mechanics and Graphic Statics
The maximum displacement of a particle executing S.H.M. corresponds to

Minimum kinetic energy and minimum potential energy
Zero kinetic energy and maximum potential energy
Zero potential energy and maximum kinetic energy
Maximum kinetic energy and maximum potential energy

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Applied Mechanics and Graphic Statics
The characteristic of a couple is:

Algebraic sum of moments of forces, constituting a couple, about any point, is same
Algebraic sum of forces, constituting a couple is zero
All listed here
A couple can be never the balanced by a single force

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Applied Mechanics and Graphic Statics
If a set of given forces are such that their free vectors build a closed polygon, then

The resultant force is zero but resultant couple is not zero
The resultant force and resultant couple both may not be zero
The resultant force and resultant couple are always zero
The resultant force is zero but resultant couple may not be zero

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