# A balanced lever has two weights on it, the first with mass 9 kg  and the second with mass 4 kg. If the first weight is  3 m from the fulcrum, how far is the second weight from the fulcrum?

$x = 6.75 \text{ }$meters

#### Explanation:

Let $x \text{ }$be the unknown distance

Summation of Moments about the fulcrum equals to zero.

Taking clockwise positive

$- 9 \cdot 3 + 4 \cdot x = 0$

$x = \frac{27}{4}$

$x = 6.75 \text{ }$meters

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