Comprehensive Mechanics: Paper 3

angle angular velocity apse C₁ C₂ catenary central axis central orbit centre component constant coplaner forces cos² curve cycloid direction displacement distance dt dt elastic string ellipse Equation of motion equiangular spiral equilibrium equilibrium is stable Example fixed point forces acting given Hence i j k inclined Integrating k₁ k₂ latus rectum Let the particle line of action lowest point middle point P₁ particle is projected particle moves particle of mass path perpendicular position of equilibrium Prove Putting the value R₁ R₂ rest rigid body sec² Show sin² single force smooth vertical sphere system of forces tan² tangent tension terminal velocity uniform rod unstable vertex vertical plane virtual displacement weight X-axis zero δε