- #1
toothpaste666
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Homework Statement
A thin stick of length L is balanced vertically on frictionless ice. It then tips over and falls. How fast is the center of mass of the stick moving just before it hits the ice?
The Attempt at a Solution
using energy:
[itex] I = \frac{1}{3}mL^2 [/itex]
[itex] .5Iω^2 = mgh [/itex]
[itex] .5Iω^2 = mg(.5L) [/itex]
[itex] Iω^2 = mgL [/itex]
[itex] (\frac{1}{3}mL^2) ω^2 = mgL [/itex]
[itex] (\frac{L}{3}) ω^2 = g [/itex]
[itex] ω^2 = (\frac{3g}{L}) [/itex]
[itex] ω = (\frac{3g}{L})^{\frac{1}{2}} [/itex]