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Re: new problem



You are given that a Bowling Ball can be considered a uniform solid sphere,
the initial speed of the ball (v) just after release along the alley and
that there is no initial spin of the ball (i.e., it is slipping without
rolling initially). What is the final speed of the ball when it is rolling
without slipping? (Note: there IS kinetic friction between the alley and
the ball.)

This is one I always assign, too. You might try the related (but meatier)
problem of finding the height of the cushion on a billiard table which
produces the most nearly elastic reflection of a ball.

A uniform solid cubical box of mass M and side length A is sliding without
friction across the surface of the frozen lake. It strikes a stone and
pivots until it is balanced on its edge. What is the initial speed of the
box?

This one is the rotational analog of the ballistic pendulum problem!

Now you must go look up T. McGeer and L.H. Palmer, "Wobbling, Toppling
and Forces of Contact", American Journal of Physics 57, 1089-1098 (1989)

We treat the question of how a wobbling box settles down. It is very
much related to these problems in that it involves familiarity with
angular momentum on an intuitive level.

Leigh