VECTORS A∙B = ABcos(α) = (A X B x ) i +(A y B y ) j AxB = ABsin(α) STATE, SYSTEM, PARTICLE System-what you are looking at State-all the info needed to answer all Qs about system VELOCITY V avg = Instantaneous V x = = x’ ACCELERATION A avg = Instantaneous: A x = = x’’ X(t)=x0 +V xo t + ½ at 2 Y(t)=y0 +V yo t + ½ at 2 GRAVITY Y(t)=y0 +V yo t - ½ gt 2 V f 2 = V i 2 – 2g(y-y0 ) 3 DIMENSIONS r = x i +y j +z k V avg = i + j + k V = = I + j + k A avg = = I + j + k A = = I + j + k | V | = UNIFORM CIRCULAR MOTION T = period of rev, angular frequency V = Position = 2D PROJECTILE MOTION X(t) = x0 + V x0 t y(t) = y0 + V y0 t- ½ gt 2 V x (t) = V x0 V y (t) = V y0-gt V y 2 = V y0 2-2g(y-y0 ) NEWTON’S LAWS 1 st Law- In the absence of forces, a particle moves with constant velocity 2 nd Law- For a particle of mass m, the net force F net =F 1 +F 2 +… on the particle is equal to the mass time a F net =ma 3 rd Law- If object A exerts a force F AB on B, then object B exerts a force F BA on object A; act on different objects but have the same magnitude, action reaction pairs Inertial Frame- frame in which Newton’s 1
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This note was uploaded on 12/05/2011 for the course PHYS 141 taught by Professor Staff during the Spring '06 term at Cal Poly.