Mechanical and Materials Engineering Homework Solutions

Inverted pendulum with counterweights - equations of motion

Could someone help me to derive the equations of motions for the system shown in the attach file. Basically it's a 2-dimensional "box" which should be stabiized on its rotating(pin) joint by adjusting counterweights m1 and m2 with linear motors. Counterweights m1 and m2 can move of speed v1 and v2 respectively. We can assume the ...continues

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