A uniform solid sphere of mass $M$ and radius $R$ is placed on a smooth horizontal surface. It is struck by a horizontal cue at a height $h$ above the center. For the sphere to roll without slipping immediately after the impact, the value of $h$ must be:
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For a solid sphere struck on a smooth surface, the cue must hit above the center at:
\[
h = \frac{3R}{5}
\]
to produce immediate pure rolling.