# Finding Force of Tension?

A string is attached to a wooden plate as shown. It exerts a 10 N force on the plate. What is tension in cartesian form?. (Fx-comp, Fy-comp, Fz-comp)

### 1 Answer

Relevance

- RealProLv 72 years ago
Assuming orthogonal axes

Vector CE has x-component -4 m, z is 6 - 4cos20° m and y is 2 - 4sin20° m.

Length of rope is then L = sqrt(x^2 + y^2 + z^2)

And by triangle similarity

F_x / T = x/L

F_x = 10 N * x/L

etc

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