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Interesting torque problem!

by NasuSama
Tags: interesting, torque
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Nov20-12, 07:39 PM
P: 326
1. The problem statement, all variables and given/known data

In procedure 3, you balance the ruler. If the density of the ruler increases without changing its dimensions, the ruler will...

→still be balanced
→be unbalanced, but the direction depends on the hanging mass, the mass of the ruler, and distances
→tip away from m
→tip toward m

In my lab report, it says that I need to balance the ruler at the 40 cm mark and then, adjust the mass to the left to make the ruler balanced.

2. The attempt at a solution

I said that the ruler will tip away from m, contrast to the ruler hung at the center 50 cm mark, but I'm not sure if that is true.
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Nov21-12, 01:41 AM
P: 3,257
Replace the ruler with massless ruler and an equivalent mass hanging from its center of gravity.
Nov21-12, 08:28 AM
P: 358
The centre of gravity will not move to another point when its density is increased - look at the formula for calculating the coordinates of the centre of gravity - this is what CWatters suggests in effect just worded differently.

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