Board 8 > Math and physics peeps, need some conceptual help.

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SgtSphynx
10/31/17 9:17:52 AM
#1:


My mind is kinda shot at the moment with all the work I'm doing and I am blanking on a dynamics thing. This isn't a homework problem, just something I need to solve.

I have a box rotating about an edge that I want to figure out the tangential velocity it hits the ground at. The center of mass/gravity is at a constant angle with regards to the bottom of the box and the box rotates a set angle. I'm neglecting air resistance since I am doing worst case scenario.

I am approximating the center of mass at (L/2, W/2, 3H/4).

The only force acting on the box is gravity, but the angle at which it acts is varying with time and angular displacements. I'm using conservation of energy and I know there is a moment of inertia in there, but I am blanking on how to set up the equation to get my answer. I've already solved for the value of the moment of inertia.
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SgtSphynx
10/31/17 6:54:46 PM
#2:


anyone?
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pyresword
10/31/17 7:06:39 PM
#3:


System has PE=(mgy) which is converted into KE=0.5(Iw^2 + mv^2). Note the final height of the box is not at zero since the box has a finite height.

Not at home so can't give a more detailed explanation now.
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pyresword
10/31/17 7:07:41 PM
#4:


pyresword posted...
Note the final height of the box is not at zero since the box has a finite height

Ie. Not all PE is actually converted to KE if you define the ground as y=0
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SgtSphynx
10/31/17 7:39:46 PM
#5:


The v in that is the tangential velocity, right?
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SeabassDebeste
10/31/17 7:40:24 PM
#6:


i think the v is actually the speed of the center of mass.
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