# Torque and Rotational Equilibrium

## Formulas Used

1. Two children with masses of 24.3 and 32.3 kg sit at opposite ends of a 4.30 meter long seesaw with the fulcrum in the center. If the smaller child sits at the very left end of the seesaw, how far from the center should the larger child be in order to balance the seesaw?
2. A meter stick with a mass of 158 grams is allowed to pivot about its 41 cm mark. How much mass must be placed at the 13 cm mark in order to balance the meter stick?
3. A 31.0 kg child sits at one end of a 3.8 m long seesaw with its fulcrum at the center. If another 13.0 kg child sits at the other end, how far from the center would a third 19.5 kg child need to sit in order to balance the seesaw?
4. A 530 gram mass and a 750 gram mass are placed at opposite ends of a meter stick whose mass is small enough to neglect. How far from the smaller mass should the fulcrum be placed in order to balance the meter stick?
5. A piece of a mobile is constructed with a 18.8 gram circle hanging from the left end and a 56.3 gram rectangle hanging from the right. The bar from which the two shapes hang is 42.2 cm long, and it is suspended from a thread that is 16.3 cm from the rectangle. If the mobile balances in this configuration, what is the mass of the bar that the shapes hang from?

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