Calculating Vector Equilibrants

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To find the vector equilibrant for the given forces of 100 N at 0 degrees and 200 N at 90 degrees, first calculate the resultant, which is 223.6 N at 63.4 degrees. The equilibrant is a vector with the same magnitude as the resultant but in the opposite direction, effectively returning to the starting point. Clarification on terminology revealed that "equilibrant" was misspelled, and the correct term was confirmed. The discussion also touched on using tools like Excel to help understand and memorize the necessary formulas for vector calculations. Understanding the equilibrant is essential for grasping vector equilibrium concepts.
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Find Vector Equilibrant

Homework Statement



Add 100 N 0 deg and 200 N 90 deg

Homework Equations



Resultant results of R= 223.6 63.4 deg

The Attempt at a Solution



I have found the resultant, no idea how to calculate the Equilibrant.

HELP Please
 
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Anester said:

Homework Statement



Add 100 N 0 deg and 200 N 90 deg

Homework Equations



Resultant results of R= 223.6 63.4 deg

The Attempt at a Solution



I have found the resultant, no idea how to calculate the Equilbrant.

HELP Please

Right now, my computer shows Equilbrant with a red squiggle under it, indicating incorrect spelling. What word were you trying for here?
 
Anester said:

Homework Statement



Add 100 N 0 deg and 200 N 90 deg

Homework Equations



Resultant results of R= 223.6 63.4 deg

The Attempt at a Solution



I have found the resultant, no idea how to calculate the Equilbrant.

HELP Please

Did you by chance mean the Cartesian Equivalent? (100, 200) ?
 
Don't know what a Cartesian Equivalent is, but the correct spelling is Equilibrant.

Basically, getting back to where I started, I quess.
 
Equilibrant (still get the red squiggles), a vector with the same magnitude as the resultant with opposite direction.
 
I was able to figure out the process for the Resultant through a convoluted process of using a Vector Adding script then backed into the steps with other data I found on the web.

This actually helped to have the answer since I was able to trial/error the process. Next fun task was building a Excel step by step for my son; now he needs to memorize the formulas.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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