It is possible to tell theoretically if a mechanical motion will be SHM through a careful analysis of the forces in the system. An object will execute SHM with displacement coordinate x.
A: all the forces involving x are conservative.
B: the total force can be equated with -kx.
C: all the forces involving x have equal and opposite reactions.
D: the sum of all the forces involving x is zero
E: the total force on the object is always zero.
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