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# I think I figured this out but I have a nagging feeling that I might have set up the problem wrong

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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)

Apr 12, 2021

#1
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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 component2   + x component2 )                 (Pythagorean theorem)

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

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 component2   + x component2 )                 (Pythagorean theorem)

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

ElectricPavlov Apr 12, 2021
#2
+1

Thank you that simpliifes everything so much I really appreciate it!! :)

Apr 12, 2021