Practice Questions

Positive x and negative y components identify quadrant IV.

At 45° both components are equal. Each is (20cos45^circ=10sqrt2) N.

With only the 6 N vertical component remaining the magnitude is 6 N.

Both components cancel exactly. Therefore the resultant is zero.

The x-components cancel while the y-components add to 8 N upward.

If both components of the resultant are zero then the resultant magnitude is zero.

(R_x=0) and (R_y=12) N. Therefore the resultant is 12 N upward.

The components are perpendicular so their squares add to the square of the resultant magnitude.

The first force contributes (100sin30^circ=50) N upward. Adding the 50 N vertical force gives 100 N upward.

The first force contributes (100cos30^circ=86.6) N horizontally. The vertical force has no x-component.