Problem

A basketball with mass m = 0.6 kg is rolling without slipping as shown when it hits a smal...

A basketball with mass m = 0.6 kg is rolling without slipping as shown when it hits a small step with = 7 cm. Letting the ball’s diameter be r = 12.0 cm, modeling the ball as a thin spherical shell (the mass moment of inertia of a spherical shell about its mass center is ), and assuming that the ball does not rebound off the step or slip relative to it, determine the maximum value of υ0 for which the ball will roll over the step without losing contact with it.

Figure P8.105

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