A 7.0-gram pencil, 18 cm long, is balanced on its
Chapter 38, Problem 38.59(choose chapter or problem)
A 7.0-gram pencil, 18 cm long, is balanced on its point.Classically, this is a configuration of (unstable) equilibrium,so the pencil could remain there forever if it wereperfectly placed. A quantum mechanical analysis showsthat the pencil must fall, (a) Why is this the case?(b) Estimate (within a factor of 2) how long it will takethe pencil to hit the table if it is initially positioned as wellas possible? [Hint: Use the uncertainty principle in itsangular form to obtain an expression for the initialangle 0 A.]
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