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Urgent! How to solve 2 simultaneous equations..

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SGVaibhav:
This came in applied mechanics - equilibirum of a particle...


I got  equations, and i dont know how to solve them ??

1-       2500 = TAC cos (T)
2-       500 = TAC sin (T)

for those who are confused with TAC, take it as a single variable x......
i dont know how to solve such equations...

Amr Fouad:

--- Quote from: sgvaibhav on April 19, 2010, 12:34:00 pm ---This came in applied mechanics - equilibirum of a particle...


I got  equations, and i dont know how to solve them ??

1-       2500 = TAC cos (T)
2-       500 = TAC sin (T)

for those who are confused with TAC, take it as a single variable x......
i dont know how to solve such equations...

--- End quote ---

No worries..You cannt solve with simultaneous..it will take a long time..Divide both equations by each other...sin/cos=tan

Therefore:

tan (T)=0.2...Then use the triangle method to find the values of sin and cos..

got that?

T.Q:

--- Quote from: sgvaibhav on April 19, 2010, 12:34:00 pm ---This came in applied mechanics - equilibirum of a particle...


I got  equations, and i dont know how to solve them ??

1-       2500 = TAC cos (T)
2-       500 = TAC sin (T)

for those who are confused with TAC, take it as a single variable x......
i dont know how to solve such equations...

--- End quote ---

Tac =500/sinT

Substitute

u will get 5sint=cost

squre all the equ. ( 5sint=cost )^2

25sin^2t=cos^2t

25sin^2t= 1-sin^2t

26sin^2t=1

sin^2t=1/26

take the squre root

sint= (1/26)^0.5

Amr Fouad:

--- Quote from: T.Q on April 19, 2010, 12:44:27 pm ---Tac =500/sinT

Substitute

u will get 5sint=cost

squre all the equ. ( 5sint=cost )^2

25sin^2t=cos^2t

25sin^2t= 1-sin^2t

26sin^2t=1

sin^2t=1/26

take the squre root

sint= (1/26)^0.5


--- End quote ---

As i said..it will take such a long time..:P mine is easier ;D

nid404:
Yes A.F's is way easier.....saves time...it's P1 stuff

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