Calculating Speed of Falling Meter Stick

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SUMMARY

The discussion focuses on calculating the speed of the center of mass of a uniform meter stick falling from a vertical position. The problem is divided into two parts: the first involves a meter stick falling freely onto a frictionless table, while the second involves a meter stick pivoting at one end. Both scenarios can be solved using the principle of energy conservation, specifically applying gravitational potential energy and kinetic energy equations to determine the speed of the center of mass upon impact.

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  • Understanding of gravitational potential energy and kinetic energy concepts
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  • Basic knowledge of rotational motion and pivot points
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  • Study the conservation of energy in mechanical systems
  • Learn about the dynamics of rigid bodies and center of mass calculations
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First let me say I appreciate everyone on these forums who takes the time out to help.

My question is as follows:
It has 2 parts.

Part 1:
A uniform meter stick (1 m long) is held on its edge against a frictionless table. The meter stick is released and it falls to the table.

Part 2:
The meter stick is connected so the stick can still fall but one end remains in place.

This is all the information I have and I am suppose to figure out the speed of the center of mass.

I am completely lost as how to do this.
Any help or guidance would be extremely beneficial. Thank you.
 
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Hint: Both cases can be solved using energy conservation.
 

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