Parallelogram method to calculate the resultant force

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The discussion focuses on using the parallelogram method to calculate the resultant force of two vectors. It outlines a two-step process: first, add the vector components to find the resultant vector, and second, apply the Pythagorean theorem to determine the magnitude. The formula for the resultant force, R, is provided as R = sqrt(a^2 + b^2 + 2abcosx, where a and b are the magnitudes of the forces and x is the angle between them. The conversation confirms the need for a formula to accurately calculate the resultant force. This method is essential for understanding vector addition in physics.
Jadaav
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In school, we've been using the parallelogram method to calculate the resultant force of 2 forces.

I've noticed the teacher using his calculator to give the answer, so I think there must be a formula to calculate Resultant force.

Can someone tell me the formula please ?
 
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Step 1 add the two vectors (i.e. get the resultant vector components by adding the components of each vector). Step 2 get the magnitude using Pythagorean theorem.
 
magnitude of resultant force of two forces of magnitude a and b at angle x is given by
R = sqrt(a^2 + b^2 + 2abcosx)
 
Thanks everyone.

That was what I was searching for.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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