Engineering Statics

A-19


Find the magnitude and direction of the resultant of the two forces shown knowing that P is 400 N and Q is 250 N.

We determine the magnitude of P cast onto the xz plane, Pxz.
We determine the magnitude of P cast onto the y-axis, Py.
We determine the magnitude of P cast onto the z-axis, Pz
We determine the magnitude of P cast onto the x-axis, Px
We determine the magnitude of Q cast onto the xz plane, Qxz.
We determine the magnitude of Q cast onto the y-axis, Qy.
We determine the magnitude of Q cast onto the x-axis, Qx.
We determine the magnitude of Q cast onto the z-axis, Qz.
We can now sum the vectors components...
The components have been added together.
Using the Pythagorean theorem, we can get the magnitude of the resultant, R.
We can calculate the angle the resultant makes with the x-axis.
Similarly, we can calculate the angle the resultant makes with the y-axis.
Similarly, we can calculate the angle the resultant makes with the z-axis.