The marble rolls down the track shown in FIGURE P12.75 and around a loop-the-loop of radius R.

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The marble rolls down the track shown in FIGURE P12.75 and around a loop-the-loop of radius R. The marble has mass m and radius r. What minimum height h must the track have for the marble to make it around the loop-the-loop without falling off?

Mass m, radius r FIGURE P12.75

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