I'm trying to make a 2d top down driving game, and I want to be able to drift with handbrake. To make calculations easier and faster, the car has only two wheels. If I can solve the following problem, I know how to compute the rest:
The car is standing still, and there is some force F and torque T acting on it. What forces (A and B) would the two wheels apply to keep the car in place? Friction is supposed to be limitless.
The problem is, that when I write the equations down, I get four unknown, but only three equations:
$$A_x + B_x = -F_x$$ $$A_y + B_y = -F_y$$ $$-r_1 \vec A_x + r_2 \vec B_x = -T$$ Unknowns are $A_x, A_y, B_x$ and $ B_y$.