In trying to solve the following system of equation:
$20000\times9.81+a\cos b=0$
$a\sin b=6.17\times20000$
Find $a$ and $b$ .
It gives me something containing "n2" in bold and I don't know why?
$a=-231780.07/(-1)^{n2}$
$b=(180*(n2*pi-0.56143476))/pi$
How do I get the right answer? Thanks
Compare with standard solution of polar /cartesian coordinate relations and interpret the differences. Let
$$a/20000= \alpha, 9.81= g;$$
$$ \left(g +\alpha \cos b=0, -6.17+ \alpha \sin b=0 \right)$$
Eliminate b ;
$$ \alpha= \sqrt{g^2+ 6.17^2}; $$
Multiply this by 20000 to get a ;
and
$$ b=\sin^{-1}\dfrac{6.17 }{\alpha}.$$