Principles of DynamicsAn exploration of the principles of dynamics. |
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acceleration amplitude angle angular momentum angular velocity applied Assuming axes axis calculate center of mass circular coefficient complete components conservative consider constant constraint coordinate system coordinates corresponding differential equations direction disk displacement distance equal equations of motion equilibrium evaluated example expression Figure fixed follows force forces acting frame frequency friction function given gravitational Hence horizontal impulse independent inertia integral kinetic energy known length linear m₁ m₂ magnitude matrix method mode moments moves natural obtain occurs orbit origin particle path plane position potential energy principal problem radius ratios reference point relative respect result rigid body rotation seen shown in Fig similar sliding solution solve space sphere spring substituting surface symmetry translational uniform unit vectors vector vertical virtual write zero