# 005 Components of a force in rotated axes

**Problem 005**

Find the components in the x, y, u and v directions of the force P = 10 kN shown in Fig. P-005.

**Solution 005**

$P_x = 10 \cos 60^\circ = 5 \, \text{ kN}$

$P_y = 10 \sin 60^\circ = 8.66 \, \text{ kN}$

$P_u = 10 \cos 40^\circ = 7.66 \, \text{ kN}$

$P_v = 10 \sin 40^\circ = 6.43 \, \text{ kN}$

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