Is the following set of forces acting on an object able to produce equilibrium ? squareroot5N, 6N, 9N

Question

aravindg · Answer

is that a math question?

anonymous · Answer

yup, grade 12 calculus

anonymous · Answer

i was given if a+b+c=0 then a,b,c are in a state of equilibrium if that helps, i dont know how to apply it.

klimenkov · Answer

$\sqrt5N,6N,9N$ What is N?

anonymous · Answer

i dont think it holds a value, i think it's just there to tell me that the numbers are forces

amistre64 · Answer

i would say those forces depend on how they are being applied

amistre64 · Answer

N is a Newton of Force

klimenkov · Answer

Ok. So the question actually is "Is there a triangle with sides $\sqrt5,6,9$?"

anonymous · Answer

i think i am supposed to put them in a triangle to figure out if they could produce equilibrium

amistre64 · Answer

a triangle and equilibrium are different concepts

amistre64 · Answer

if anything, all those forces are pulling on a single object, and is there anyway that the directions that they are pulling create a state where the object itself is not moving

anonymous · Answer

but don't i put the forces together in a triangle to find the resultant, then the opposite of the resultant is the equilibrium ?

amistre64 · Answer

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amistre64 · Answer

if we play tug of war with the 6 and 9, the 9 is winning by 3

anonymous · Answer

so it could produce equilibrium ?

amistre64 · Answer

is there a way to configure the arrows of force such that all directions cancel out?

anonymous · Answer

i think that's what im supposed to do, and if it cancels out i know it can produce equilibrium but i dont know how

amistre64 · Answer

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amistre64 · Answer

a+b = 9

and the up and down force would have to cancel out if we could determine a suitable setuop

amistre64 · Answer

sin($\alpha$)=c/6
sin($\beta$)=c/sqrt(5)
6sin($\alpha$)=c=$\sqrt{5}$sin($\beta$)

6sin($\alpha$)-$\sqrt{5}$sin($\beta$)=0
6cos($\alpha$)+$\sqrt{5}$cos($\beta$)=9

hmm

anonymous · Answer

are you using sin law? sorry im not following

amistre64 · Answer

im using some trig notions yes, but we might be able to do this without all that.

first, is 6+sqrt(5) >= 9 ?

anonymous · Answer

nope, 8.2

amistre64 · Answer

then the answer is no.

if both 6 and sqrt(5) are pulling with all their might, 9 still wins

if 6 and sqrt(5) pull at different angles, their combined efforts in the direction against 9 is even smaller still.

anonymous · Answer

oh so if a+b =  c it is in a state of equilibrium  ?