# 010 Components of force normal and tangent to hypotenuse of a triangle

**Problem 010**

The triangular block shown in Fig. P-010 is subjected to the loads P = 1600 lb and F = 600 lb. If AB = 8 in. and BC = 6 in., resolve each load into components normal and tangential to AC.

**Solution 010**

$F_n = F \sin \theta = 600(3/5)$

$F_n = 360 \, \text{ lb}$

$F_t = F \cos \theta = 600(4/5)$

$F_t = 480 \text{ lb}$

$P_n = P \cos \theta = 1600(4/5)$

$P_n = 1280 \, \text{ lb}$

$P_t = P \sin \theta = 1600(3/5)$

$P_t = 960 \text{ lb}$

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