📚 Key Concepts
Centre of massLinear momentumAngular velocityTorqueAngular momentumMoment of inertiaRotational kinematicsRigid body equilibriumVector productConservation of angular momentum
🎯 Key Formulas
Centre of mass: R = (Σmiri)/ΣmiLinear momentum: p = mvAngular velocity: ω = dθ/dtTorque: τ = r × FAngular momentum: L = r × pMoment of inertia: I = Σmiri²Rotational KE: ½Iω²Conservation of angular momentum
⚠️ Common Mistakes to Avoid
Confusing linear and angular motionIncorrect moment of inertia calculationsVector product direction errorsCentre of mass misconceptionsTorque calculation errorsEquilibrium condition misunderstandingsAngular momentum sign convention mistakes
📖 Knowledge Prerequisites
Vector mathematicsNewton's lawsTrigonometryCalculus basicsLinear motion conceptsForce and momentum understanding
💡 Tips for Students
Visualize rotational dynamicsPractice vector manipulationsUnderstand symmetry in moment of inertiaMaster coordinate system selectionLearn component-wise analysisUse symmetry in problem-solving
👉 Practice Recommedations
Centre of mass problemsAngular momentum calculationsMoment of inertia scenariosRotational dynamics problemsRigid body equilibriumVector product applicationsConservation of angular momentumTorque and rotation interactions
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