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# Torque, Equilibrium and Harmonic Motion

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1. A uniform meterstick pivoted at its center has a 100 g mass suspended at the 25 cm position. (a) At what position should a 75 g mass be suspended to put the system in equilibrium? (b) What mass would have to be suspended at the 90 cm position for the system to be in equilibrium?

2. An organic pipe that is closed at one end has a length of 0.80 m. At 20 degrees Celsius, what is the distance between a node and an adjacent antinode for (a) the second harmonic and (b) third harmonic?

##### Solution Summary

Torque, equilibrium and harmonic motion is examined.

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1. A uniform meter stick pivoted at its center has a 100 g mass suspended at the 25 cm position. (a) At what position should a 75 g mass be suspended to put the system in equilibrium? (b) What mass would have to be suspended at the 90 cm position for the system to be in equilibrium?

Solution:
d

0 25cm 50cm 100cm

100gm 75gm

100x9.8 = 980N 75x9.8 = 735 N

a) Let the ...

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