Table

This is a question my friend told me. A table exists with 4 legs p0, p1, p2, p3, with width 2w and length 2l, and mass 1, Alt text.

1) Imagine the center of mass is in the center at point a, (0, 0) How much weight does each leg carry?

2) Imagine the center of mass is in the center at point p0, (w, l) How much weight does each leg carry?

3) Imagine the center of mass is in the center at point b, (w/2, l/2)

How much weight does each leg carry?

Thanks for looking.

Easy Math Editor

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$