Imbalance Problem - Part 4

Algebra Level 1

The above shows how a mobile will be balanced when left to hang, and the rods are all tilted to the maximum degree.

Assuming that the fulcrum is at the center of each rod, what are the relative weights of these shapes?

Circle > Triangle > Rectangle Rectangle > Triangle > Circle Rectangle > Circle > Triangle Circle > Rectangle > Triangle Triangle > Rectangle > Circle Triangle > Circle > Rectangle

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1 solution

Chew-Seong Cheong
Apr 16, 2015

It is shown that:

\LARGE{\circ} + + \LARGE{\circ} + < + +\triangle < \square + \LARGE{\circ} + + \triangle \quad \Rightarrow \LARGE{\circ} < < \square .

On the right arm:

+ \square + \LARGE{\circ} < > > < \triangle \quad \Rightarrow \boxed{\triangle > \square > \LARGE{\circ}} .

Nicely done pal

Saksham Sharma - 4 years, 5 months ago

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