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anonymous
 one year ago
Two force vectors,
F1 = (3.0 N) xhat + (2.5 N) yhat
and
F2 = (6.0 N) xhat + (3.5 N) yhat
are applied to a particle. What third force F3 would make the net force on the particle zero?
anonymous
 one year ago
Two force vectors, F1 = (3.0 N) xhat + (2.5 N) yhat and F2 = (6.0 N) xhat + (3.5 N) yhat are applied to a particle. What third force F3 would make the net force on the particle zero?

This Question is Closed

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2Are you familiar with the bra ket vector notation F1 = <a,b> = < 3 , 2.5> ?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2ok, it is just that, the x and y components

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0This is technically for a physics class but no one in the physics section on here is helping me

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2You want to find a third force F3, so that the object does not accelerate,

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2Net force is Zero \[F _{NET} = F _{1}+F _{2}+F _{3}\]

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2With vector addition, you can simply add the components of each dimension together...

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2Instead of using the unit vector multiplier xhat and y hat, it is simpler with <a,b> where a is multiplied by xhat and b is by yhat

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2\[<0 , 0> = <3.0 ,~ 2.5> + <6.0,~ 3.5> + <a,b>\]

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2\[F _{3}= a* xroof + b*yroof = \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So would it be <9,1>?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2With that vector equation, you can solve for the a and b components of F3 by equating the x direction and the y direction values... 0 = 3.0 +(6.0) + a [N]

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2Total force in the x direction is 0 or 3  6 + a, newtons, same for Y, then you have your F3 force

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2The sum of the components in the Xdirection is zero The sum of the components in the Ydirection is zero (all the xroofs have to equal zero) (all the yroofs) have to equal zero) solve for the components of the third force

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So is that a yes or a no to being <9,1> For F3?

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2Did you do a section on vectors before this? if i remember i think there was in physics 1, maybe not
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