# 231 Force P producing a clockwise moment about the origin

**Problem 231**

A force P passing through points A and B in Fig. P-231 has a clockwise moment of 300 ft-lb about O. Compute the value of P.

**Solution 231**

Ratio and proportion

$\dfrac{d}{6} = \dfrac{1}{\sqrt{5}}$

$\dfrac{d}{6} = \dfrac{1}{\sqrt{5}}$

$d = \frac{6}{\sqrt{5}} \, \text{ ft}$

Moment at point O

$M_O = Pd$

$300 = P(\frac{6}{\sqrt{5}})$

$P = 50\sqrt{5} \, \text{ lb}$ down to the right from A to B *answer*

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