How Do You Calculate the Velocity of a Corner of a Falling Tilted Plate?

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SUMMARY

The discussion focuses on calculating the velocity of a corner of a falling tilted square plate, specifically point P, which is positioned at a 45-degree angle above the horizontal. The plate has a mass of 1.8 kg and a side length of 0.1 m. The relevant equation used is Mg(Yfinal - Yinitial) = 0.5M omega², where the center of mass is determined to be 0.071 m. The main challenge identified is calculating the change in height (delta Y) to determine potential energy before the plate falls.

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rosie2985
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Homework Statement



A square plate is tilted on one of its corners as shown below. If the corner does not slip, and the plate is allowed to fall, determine the velocity of the moving corner before it hits the ground. The moving corner is point P, which is 45 degrees above the horizontal.
Mass=1.8kg
Length of each side=.1m
Anglecenter of mass=80 degrees
Anglepoint P=45 degrees


Homework Equations



Mg(Yfinal-&initial)=.5M omega2

The Attempt at a Solution



I don't understand how to find delta Y in order to find potential energy. The center of mass is .071 m.
 
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Welcome to PF. I am not clear on the plate's position. You will either have to post the picture or do a better job of describing how the plate is sitting before it starts to fall. Thanks.

AM
 

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