A force F x of magnitude 6.00 units act at the origin in a direction 30 degree above the positive x axis. A second force Fy of magnitude 5.00 unit act at the orign in the direction of positive y axis. 1) Find the magnitude and direction of the resultant force mathematically. 2) Also find the resultant graphically

Magnitude of vector addition: 10.6

Direction of vector addition: 16.4 degrees

For resultant graphically see attached image

Explanation:

Mathematically the resultant is calculated using x and y components:

F1 = 6 units at 30 degrees, then its components are:

F2 = 5  at 0 degrees (on the x-axis), then the x and y components are:

F2x = 5

F2y = 0

The addition gives the following components:

Fx = 10.196

Fy = 3

Which result (via Pythagoras Theorem) in a magnitude of:

and angle:

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