How do i workout the resultant force and direction?

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SUMMARY

The resultant force and direction of two forces, 40N and 70N, at an angle of 60 degrees can be calculated using vector components. The 70N force is aligned with the polar axis, represented as 70N . The 40N force is expressed as 40N . By summing the i and j components of these vectors, the resultant force is obtained, and the direction is determined using the arctangent function: tan-1(j component / i component).

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  • Understanding of vector components in physics
  • Knowledge of trigonometric functions, specifically cosine and sine
  • Familiarity with the arctangent function for calculating angles
  • Basic principles of force addition in physics
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Gughanath
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The angle between a 40N Force and a 70N is 60 degrees...how do i workout the resultant force and direction?
 
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Take the 70N force to lie on the polar axis (+x axis). The vector component of this force is then 70N <cos(0), sin(0)> while the 40N force is given by 40N<cos(60), sin(60)>. Sum the i and j components of these vectors and that's the resultant force. The direction is given by tan^-1(j component / i component)
 

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