There are two forces each having same magnitude 10 N . One is inclined at an angle of 30 o and other is inclined at an angle of 135 o to the positive direction of x -axis. The x and y components of the resultant are

Step-by-step solution

After resolving forces in x y - direction, we get Along x direction, net force; F x = 10 cos 30 o + − cos 45 o = 10 3 2 − 1 2 = 1.59 N Along y direction, net force; F y = 10 sin 30 o + 10 sin 45 o F y = 10 ( 1 2 + 1 2 ) = 12.07 N Thus forces in x and y direction are 1.59 N and 12.07 N respectively.