Answer to Question #107316 in Mechanics | Relativity for David Mutale

Question

A force of 100 N makes an angle of θ with the x-axis and has a scalar y-component of 30 N. Find both the scalar x-component of the force and the angle θ.

Answer 1

$\sin\theta=\frac{30}{100}=0.3\to \theta=17.46°$

x-component of the force

$100\cdot\cos17.46°=95.4 N$