High School

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A tiny mass of 67 kg and a tubby mass of 83 kg are on opposite ends of a seesaw, each 1.4 m from the balance point. Where should their sister Teeny, whose mass is 32 kg, sit so the seesaw balances?

Answer :

Answer:

0.7 m between the balance point and Tiny

Explanation:

It's intuitive to say she sould be on the side the smaller mass is placed. How far from the balance point?

Let's call x that distance. and assume that the contraption is "oriented" so that being on the side with tiny (and teeny) gives you a positive distance from the balance point, and negative on the other side.

At equilibrium, the sum of all momentums (momenta?) will be zero:

[tex]67\times 1.4 +32\times x + 83 \times (-1.4) = 0\\32x -16(1.4) = 0 \rightarrow 2x=1.4 x= 0.7[/tex]

In layman's term, she has to be halfway between the balance point and Tiny.

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Rewritten by : Barada