SOLUTION: Sam and bob pull on two ropes to try to get their truck out of the mud, Sam pulls directly forward with a force of 450N while Bob pulls with a force of 525N at an angle of 40 degre

Question 1169205: Sam and bob pull on two ropes to try to get their truck out of the mud, Sam pulls directly forward with a force of 450N while Bob pulls with a force of 525N at an angle of 40 degrees to Sam along the horizontal plane.
a) what is the resultant force used to pull the on the truck?
i got using the pyth theorum, r=691.4N is this right?
b) if a third person joins in to help and pulls at an angle of 25 degrees to Sam along the horizontal plane with a force of 550N what is the resultant force?
I got r =710.6N
Thanks

Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
The x-component of the resultant force is Fx = 450 + 525*cos(40) and
the y-component is Fy = 525*sin(40)
The magnitude of the resultant force is sqrt(Fx^2 + Fy^2).
I am getting F = 916.56 N. We must also specify a direction, which is given by
A = arctan(Fy/Fx) = 18.4 deg.
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