What is the Angular Velocity of a Falling Physical Pendulum?

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SUMMARY

The discussion focuses on calculating the angular velocity of a physical pendulum, specifically a stick of mass M and length L, as it falls and hits the table. The angular acceleration is defined by the equation ang. accel = (3g/2L)cos(theta), with theta being zero when the stick is horizontal. Participants suggest using conservation of energy principles and numerical solutions, including the potential use of elliptic integrals for more complex scenarios.

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Homework Statement



A stick of mass M, length L is standing upright on a table, pivoted at the bottom.
What is its angular velocity as it hits the table?



Homework Equations



ang. accel = (3g/2L)cos theta (theta is zero with stick laying on table)



The Attempt at a Solution



ang. vel = integral of ang. accel wrt to time, theta is some function of time.
Elliptic integral?

Numeric solution??

Thanks.
 
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Use conservation of energy.

ehild
 

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