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EE1 Particle Kinematics : Concept Summary. To understand do the problems ! Chris Parkes October 2003 Motion – Distance, Velocity, Acceleration Scalars, vectors Forces –Newtons 3 laws of motion Friction Energy & Momentum ConservationElastic, Inelastic Collisions Potential energy, work, power Circular MotionAcceleration towards centre of a circle Angular momentum GravityInverse square law apples, tides, satellites…. http://ppewww.ph.gla.ac.uk/~parkes/teaching/PK/PK.html

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Motion, Newton’s laws s=ut+1/2 at 2 v=u+at v 2 =u 2 +2 as F = ma Velocity, acceleration (vectors) Scalar product of vectors mg N F f s or f k Force diagrams: Friction Static > kinetic Position: r, (x,y) or (r, ) Units: m,s,ms -1,ms -2,Kg, N=kg m s -2

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Energy & momentum Initial momentum: m 1 v 0 = m 1 v 1 + m 2 v 2 : final momentum Energy Conservation: K.E, P.E, Heat….. Elastic Collision: momentum and kinetic energy conserved Inelastic: momentum is conserved, kinetic energy is not Efficiency = useful energy produced / total energy used Work = Force F ×Distance sW=F.x The rate of doing work is the Power Variable force e.g. F=-kx Units: J=kgm 2 s -2 =Nm W=Js -1

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Gravity gravitational or mgh Circular Motion v= R a= 2 R=( R) 2 /R=v 2 /R Direction tangential Direction towards centre of circle L=(mv) r Angular momentum Work done = Torque (rF) angle in radians Power = Torque Angular velocity F=ma= mv 2 /R Circular Motion with Gravity M R m

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CHAPTER 7 Rotational Motion and the Law of Gravity Angular Speed and Angular Acceleration s = arc length Θ = arc angle (radians) Θ = s ; where r = radius.

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