# science

posted by wangai

A uniform meter rule is balance at 30cm mark when of 50grams is hanging from its zero cm mark.calculate the weight of the rule?

1. Damon

m*(50-30) = 50*30 gives MASS, m, in grams (not really weight but is this math or physics?)

2. Anonymous

the centers of mass of the two segments of the rule are halfway from the balance point to the respective ends

let x = mass of the rule in grams

(50 g * 30 cm) + (.3 x * 15 cm) = .7x * 35 cm

after dividing by 5 ... 300 g-cm + .9x g-cm = 4.9x g-cm

solve for x

3. Damon

Although that should work fine Anonymous, you do not have to split the 100 cm ruler into sections left and right of the balance point. The weight of a rigid body acts as if it were all at the center of mass, no matter what forces are acting on it where.

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