I'm having some problems finding the resultant in my physics subject.
So heres the given problem:
A = 10 meters B = 20 meters 30°
The graph looks like this:
A is in between Q1 and Q4 in x axis the B is in Q2...
I need to find: a. A + B b. B - A c. -A - R
Can you guys give me explanation of how did you find the answer? Thank you!
As B is in the 2Q, assumed that B makes an angle of 30 degrees with the negative x axis while A should be on the positive axis. Let i and j be the unit vector along the positive x and y axes respectively. Then we have
$$A = 10i$$
$$B = - 20cos30 i + 20sin30 j = -17.32i + 10j$$
Therefore
$$A + B = -7.32i + 10j$$ $$magnitude = 12.39$$
$$B - A = -27.32i + 10j$$ $$magnitude = 29.09$$
$$-A - B = 7.32i - 10j$$ $$magnitude = 12.39$$