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When the mass is displaced,
we find that
the string tension S
is neither equal, nor opposite, to
the weight W
of the mass.
Since the string tension S
is a reaction force, it can only compensate the component of the
weight force which is
in the direction of the string.
The component of the weight W
which is perpendicular to the string
cannot be compensated by
the string tension S.
That component of the weight W
gives the restoring force,
which drives the mass back to its equilibrium position.
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