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Mt2-info-sheet

Mt2-info-sheet -   ∑ Rotation of Rigid Bodies d d...

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Some expressions from the Texbook which may or may NOT be useful for this exam (However, you are supposed to know what each symbol means) Work, Kinetic Energy and Power Relations: 2 1 , Constant P F P W F ds F s = → r r r r r 2 1 2 K mv = , P F v = r r , t E P Δ Δ = Potential Energy and Energy Conservation: 2 2 1 2 1 2 1 1 , , 2 2 grav grav el el W mgy mgy U W kx kx U = - = -Δ = - = -Δ ( ) ( ) , x dU x F x dx = - When total mechanical energy is conserved: 1 1 2 2 K U K U + = + , When total mechanical energy is NOT onserved: 1 1 2 2 other K U W K U + + = + Momentum, Impulse and Collisions: 2 1 , , , , 0, If then =constant. t t A B dp p mv F J Fdt dt P p p F P = = = = + + = r r r r r r r r r r r L , , i i i cm i i cm ext cm i i i m r r P m v Mv F Ma m = = = = r r r r r r r , i i M m =
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Unformatted text preview:   ∑ Rotation of Rigid Bodies: , , d d dt dt θ ω α = = For constant α : ( ) ( ) 2 2 2 1 1 , , , 2 2 2 t t t t α θ = + +-= + = + = +-2 2 tan , , rad dv v v r a r a r dt r = = = = = 2 2 1 , 2 i i i I m r K I = = ∑ , 2 P cm I I Md = + Moment of Inertia (Rotation axis through the center of mass): Sphere: 2 5 2 mR I = Cylinder: 2 2 1 mR I = Quadratic formula: If , 2 = + + c bx ax , 2 4 2 a ac b b x-±-=...
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