How can I calculate the speed of the other end of a falling rotating stick?

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To calculate the speed of the other end of a falling rotating stick, the relevant moment of inertia is I = 1/3 ML^2, as the stick rotates about its end. The angular velocity can be derived using the equation w = sqrt(3g/2h), where h is the height from which the stick falls. The attempt to solve the problem using the moment of inertia and the given equations did not yield successful results. It's essential to apply the correct formulas for both the moment of inertia and the angular motion to find the desired speed. Understanding these principles is crucial for accurately solving the problem.
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Homework Statement



A stick of length 0.8 m is held vertically with one end on the floor and is then allowed to fall. Find the speed of the other end when it hits the floor, assuming that the end on the floor does not slip.

Homework Equations



w=sqrt(3g/2h)

Should I use I=.5ML^2 or I=1/3ML^2

The Attempt at a Solution



Used the relevant equation to no success.
 
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The moment of inertia of a rod from one of its ends is 1/3 M L^2, which you can find in a table.
 
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