Asked on 21 Nov

A thin spherical shell of mass m and radius R rolls down a parabolic path PQR from a height H without slipping (assume R << H). Path PQ is rough (and so the shell will roll on that path), whereas path QR is smooth, or frictionless (so the shell will only slide and not roll in this region). Determine the height h above point Q reached by the shell on path QR.

Answered on 21 Nov

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