A uniform spherical shell of mass M and radius R, spins about its axis with
an angular velocity ω. The cylinder is now dropped on a horizontal table located
slightly below the cylinder. The coefficient of friction between the cylinder and the
table top is μ. The cylinder then initially slips relative to the table, but after a time T
it continues to roll without further slipping. Express your answers to the following
questions in terms one or more of the known quantities. M, R, ω0 and μ.
a) How large is the time T?
b) What is the speed of the spherical shell’s center at the instant when the spherical
shell stops slipping?
c) Suppose that the spherical shell had twice as large a radius. If the spherical shell is
made of the same material, its mass would then be four times as large. How much
larger would be the time T? How much larger would be the final speed of the
spherical shell’s center?
2007-05-01
11:05:41
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1 answers
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asked by
Anonymous