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

AI Thread Summary
To calculate the velocity of the moving corner of a tilted square plate before it hits the ground, the problem involves understanding the potential energy and the dynamics of the system. The mass of the plate is 1.8 kg, with each side measuring 0.1 m, and the center of mass is positioned at an angle of 80 degrees. The key equation relates the change in potential energy to the rotational kinetic energy, which is expressed as Mg(Yfinal - Yinitial) = 0.5Mω². Clarification on the plate's initial position is needed to accurately determine the change in height (delta Y) for potential energy calculations. Understanding these factors is crucial for solving the problem effectively.
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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