Question

1. Two ropes are attached to a wagon, one horizontal to the west with a tension force of 30 N, and the other east and at an angle of 30° northward and a tension force of 40 N. Find the components of the net force on the cart.

Answer 1

In the diagram, f1 is the horizontal component of the 40N force and f2 is its vertical component.
these are calculated as follows:\[f_1=40\cos(30)=40*\frac{\sqrt{3}}{2}=20\sqrt{3}N\]\[f_2=40\sin(30)=40*\frac{1}{2}=20N\]so net horizontal force towards the east is:\[f_1-30=20\sqrt{3}-30N\]and net vertical force is:\[f_2=20N\]