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Mathematics 9 Online
OpenStudy (anonymous):

Torque problem pls read inside help

OpenStudy (anonymous):

ganeshie8 (ganeshie8):

Have you tried using \(\rm {\tau = r\times F}\) ?

OpenStudy (anonymous):

I got this

OpenStudy (anonymous):

l i j k l l 2 -3 2 l l Fx 7 -6 l = 4i + (2Fx + 12)j + ( 14 + 3Fx)k

OpenStudy (anonymous):

τ = 4 i + 12 j + 14k = 4i + (2Fx + 12)j + ( 14 + 3Fx)k

OpenStudy (anonymous):

okay what to do I don't know

OpenStudy (anonymous):

Equate the corresponding components \[\vec \tau.\hat i=(\vec r \times \vec F). \hat i\]

OpenStudy (anonymous):

\[\vec \tau. \hat j=(\vec r \times \vec F).\hat j\]\[\vec t .\hat k=(\vec r \times \vec F).\hat k\]

OpenStudy (anonymous):

still confuse I mean.. can you guide my equation to the answer.. I already done something

OpenStudy (anonymous):

I think I've done the cross product but the problem is idk what to do after

OpenStudy (anonymous):

τ = 4 i + 12 j + 14k = 4i + (2Fx + 12)j + ( 14 + 3Fx)k

OpenStudy (anonymous):

\[\vec \tau=4 \hat i+12 \hat j+14\hat k\] and \[\vec \tau=4 \hat i+(2F_{x}+12)\hat j+(14+3F_{x}\hat k)\] Since these are equal vectors, their x y and z components should be equal \[4=4\] \[2F_{x}+12=12\] \[14+3F_{x}=14\]

OpenStudy (anonymous):

thanks got it

OpenStudy (anonymous):

Yeap thankyou guys will close the problem now!

ganeshie8 (ganeshie8):

yeah that looks good !

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