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anuttarasammyak replied to the thread Undergrad Best way to numerically solve this system of equations?.We should solve the equation of ##\lambda## $$\sum_{j=1}^n c_j\ln(1-\frac{1}{c_j \lambda}) - \ln s \sum_{j=1}^n c_j - V_f=0$$ N's are... -
anuttarasammyak replied to the thread Undergrad Best way to numerically solve this system of equations?.Following #5, we get equation for ##\lambda## $$c_1 \ln(1-\frac{1}{c_1 \lambda})+c_2 \ln(1-\frac{1}{c_2 \lambda})=V_f+(c_1+c_2)\ln s$$...
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anuttarasammyak reacted to renormalize's post in the thread Undergrad Best way to numerically solve this system of equations? with
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From skimming through the video referenced by the OP, the known rocket parameters are: ##c_n## is the exhaust velocity of the... -
anuttarasammyak replied to the thread Undergrad Best way to numerically solve this system of equations?.There are six kind of alphabets in your equations. 3 equations for 6 unknowns seems desperate. Which are numbers given for numerical...
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anuttarasammyak replied to the thread Undergrad Best way to numerically solve this system of equations?.I would try let computer draw three graphs (1)(2)(3) and observe crossing points, if not ask AI the solutions direct.
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anuttarasammyak replied to the thread Undergrad Turning a simple mech. problem into an olympiad one.My guess. Long thread and small v make net torque by gravity negligible and almost conserve blocks angular momentum of counter clock...