Magnitude of resultant forces

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Homework Statement


Forces with magnitude of 200 newtons and 300 newtons act on a hook. The angle between the two forces is 65°. Find the magnitude of the resultant of these forces. Round your answer to 2 decimal places. (Hint: write the 300 pound force as a vector in the direction of the positive x-axis and the 200 pound force as a vector at an angle of 65° with the positve x-axis.)


I'm in college trig and was given this question. I'm confused as to how to go about setting it up (I attached a file indicating the method i was going about it with)

Homework Equations





The Attempt at a Solution


My guess was to do something like sqrt[(200*sin(65))^2+(300*cos(65))^2]

However, I'm unsure if this would yield a correct answer. Any insight would be greatly appreciated
 

Answers and Replies

  • #2
tiny-tim
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welcome to pf!

hi oranrene! welcome to pf! :smile:

(try using the X2 icon just above the Reply box :wink:)
(Hint: write the 300 pound force as a vector in the direction of the positive x-axis and the 200 pound force as a vector at an angle of 65° with the positve x-axis.)

My guess was to do something like sqrt[(200*sin(65))^2+(300*cos(65))^2]
(there's no attachment :redface:)

follow the hint:

write the two forces as vectors (ie, with x and y components) :wink:
 

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