HIGHLIGHTS
SUMMARY
Two classic homework exercises in an elementary mechanics course are the skier on a hemispherical hill (Fig 1) and the particle on a loop-the-loop track (Fig 2).1 Both problems illustrate nicely the use of conservation of energy (to find the speed as a function of height) followed by F=ma (to find the normal force). The skier and loop-the-loop problems give rise to very similar differential equations, which differ only by some sign changes. For the loop-the-loop, the authors solve the differential equations only up to the . . .
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