Question

Two forces with magnitudes of 200 and 100 pounds act on an object at angles of 60° and 170° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

Answer 1

IDC

Answer 2

COOL BRO

Answer 3

Using the given components f1= 200cos(60), 200sin(60) which equals <100,173.2>
then you find f2= 100cos(170), 100sin(170) which equals <-98.48, 17.36>
and to find F3 you need to simply add/subtract the given vectors:
F3= <100-98.48>, <173.2+17.36>
= <1.52, 190.56> as your F3 coordinates. With these new set of coordinates you can then find the direction and magnitude by using arc tan and square rooting. to find the direction you use arc tan so by making X= 1.52 and Y=190.56 you can plug them in to the arc tan function tan-1(190.56/1.52). Making your direction 89.54. To find your magnitude you will square root (1.52)^2 + (190.56)^2 giving you a magnitude of the square root of 36315.4