diff --git a/mr/ubC/A2.m b/mr/ubC/A2.m new file mode 100644 index 0000000..50881d6 --- /dev/null +++ b/mr/ubC/A2.m @@ -0,0 +1,25 @@ + + +% rotz= @(x,a) [cos(a) -sin(a); sin(a) cos(a)]*x +% +% +% for i = 1:6 +% i +% rotz([1;0],i*2*pi/6) +% end + +%3 + m=1; + I= [ 0.007 0 0 + 0 0.007 0 + 0 0 0.012]; +kt= 5.57*10^(-6); +kq= 1.36*10^(-7); +wim = 838; + +Tmax = wim^2*kt; +g= 9.81; + +amax = 4*Tmax + +amax- g diff --git a/mr/ubC/mrC.pdf b/mr/ubC/mrC.pdf index 737c8cd..754052d 100644 --- a/mr/ubC/mrC.pdf +++ b/mr/ubC/mrC.pdf Binary files differ diff --git a/mr/ubC/mrC.tex b/mr/ubC/mrC.tex index 5e49930..c1170d0 100644 --- a/mr/ubC/mrC.tex +++ b/mr/ubC/mrC.tex @@ -131,8 +131,56 @@ \end{pmatrix}l$ \item $T_\Sigma=k_T\sum_{i=1}^6 \omega_i^2$ \item $\tau_Q=k_Q \begin{pmatrix} - 0\\0\\-\omega_1+\omega_2-\omega_3+\omega_4-\omega_5+\omega_6 + 0\\0\\-\omega_1^2+\omega_2^2-\omega_3^2+\omega_4^2-\omega_5^2+\omega_6^2 \end{pmatrix}$ + \item $l\begin{pmatrix} + 0 \\ -k_T\omega_1^2\\ 0 + \end{pmatrix} \\ + \tau_{T2} = l\begin{pmatrix} + \frac{\sqrt{3}}{2}k_T\omega_2^2 \\ -\frac{1}{2}k_T\omega_2^2\\ 0 + \end{pmatrix} \\ + \tau_{T3} = l\begin{pmatrix} + \frac{\sqrt{3}}{2}k_T\omega_3^2 \\ \frac{1}{2}k_T\omega_3^2\\ 0 + \end{pmatrix} \\ + \tau_{T4} = l\begin{pmatrix} + 0\\ k_T\omega_4^2\\ 0 + \end{pmatrix} \\ + \tau_{T5} = l\begin{pmatrix} + -\frac{\sqrt{3}}{2}k_T\omega_5^2 \\ \frac{1}{2}k_T\omega_5^2\\ 0 + \end{pmatrix} \\ + \tau_{T6} = l\begin{pmatrix} + -\frac{\sqrt{3}}{2}k_T\omega_6^2 \\ -\frac{1}{2}k_T\omega_6^2\\ 0 + \end{pmatrix} \\ + \tau= \begin{pmatrix} + l \frac{\sqrt{3}}{2}k_T(\omega_2^2\cdot \omega_3^2\cdot-\omega_5^2\cdot -\omega_6^2)\\ + l\frac{1}{2}k_T(-2\omega_1^2-\omega_2^2\cdot \omega_3^2 \cdot 2\omega_4^2 \cdot \omega_5 \cdot-\omega_6)\\ + k_Q (-\omega_1^2+\omega_2^2-\omega_3^2+\omega_4^2-\omega_5^2+\omega_6^2) + \end{pmatrix} + $ + \item $ + \Gamma = \begin{pmatrix} + k_T&k_T&k_T&k_T&k_T&k_T \\ + 0 & l \frac{\sqrt{3}}{2}k_T & l \frac{\sqrt{3}}{2}k_T & 0& -l\frac{\sqrt{3}}{2}k_T& -l\frac{\sqrt{3}}{2}k_T \\ + -lk_T &l\frac{1}{2}k_T &-l\frac{1}{2}k_T & lk_T&l\frac{1}{2}k_T &-l\frac{1}{2}k_T \\ + -k_Q &k_Q & -k_Q &k_Q &-k_Q&k_Q \\ + \end{pmatrix} + $ + \end{enumerate} + \Aufgabe{Newton-Euler Equations}{6} + \begin{enumerate} + \item $T_{max} = k_T*w_{i,max}^2 =3.9115 N$ + \item $a_{max} = \begin{pmatrix} + 0 \\ 0\\ \frac{T_{\Sigma,max}}{m} + \end{pmatrix}- ^BR_w ^wg =\begin{pmatrix} + 0\\0\\ \frac{15.646N}{1kg} + \end{pmatrix}-\begin{pmatrix} + 0\\0\\ 9.87 \frac{m}{s^2} + \end{pmatrix} =\begin{pmatrix} + 0\\0\\ 5.836 \frac{m}{s^2} + \end{pmatrix} $ + + \item b TODO + \item c TODO \end{enumerate} \end{document}