- #1
kroq
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Homework Statement
I'm building a little model vehicle that will be powered by a twisted rubber band.
Givens:
m_front wheels
m_back wheels
m_body
coeff. of friction (static) = 0.2 assumed
T = Torque applied = 0.86 N-m based on lab tests
Weights (of above parts) by multiplying 9.81
wheel radii
Homework Equations
After using FBD's and Conservation Principles, I have 9 equations (3 from each Free body diagram ... Fx, Fy, and Mz summations equaling either zero or m*a depending on the acceleration happening).
Unknowns, Forces btwn parts (Fx, Fy), and the Normal Forces btwn the wheels and the ground.
I fed this understanding into Excel's solver add-in ... and I'm having trouble identifying the best objective function to use.
My overarching objective is to have the fastest vehicle, but the velocity calculation for anything with a wheel (assuming constant acceleration) is just a function of the input Torque, mass and the radii of the powered wheel.
I want to use solver to optimize the vehicle velocity and solve for all forces.
Am I missing something elementary here?
Thanks for any help.