Peyton and Tanner were lifting a large boulder and relocating it within their property. Peyton is pushing

the boulder with a force of 110 newtons at an angle of 55° with respect to the positive x-axis. Tanner is

pulling the boulder with a force of 165 newtons at an angle of 42° with respect to the positive x-axis.

Find the magnitude and direction (with respect to the positive x-axis) of the resultant force.

I got 86.249 for the magnitude and 133.5 for the direction.

Thanks if anyone solves this :) (btw I'm sure there are other ways to do this but I solved it using trig)

Guest Apr 12, 2021

#1**+2 **

Resultant x - axis force is

110 cos 55 + 165 cos 42 = x component

y components

110 sin 55 + 165 sin 42 = y component

Total magnitude will be sqrt ( y component^{2} + x component^{2} ) (Pythagorean theorem)

angle of the force will be arctan ( y component / x component)

ElectricPavlov Apr 12, 2021

#1**+2 **

Best Answer

Resultant x - axis force is

110 cos 55 + 165 cos 42 = x component

y components

110 sin 55 + 165 sin 42 = y component

Total magnitude will be sqrt ( y component^{2} + x component^{2} ) (Pythagorean theorem)

angle of the force will be arctan ( y component / x component)

ElectricPavlov Apr 12, 2021