EE1 Particle Kinematics : Concept Summary

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

Motion, Newton’s laws F = ma Velocity, acceleration (vectors) Position: r, (x,y) or (r,  ) Velocity, acceleration (vectors) s=ut+1/2 at2 v=u+at v2=u2+2 as Scalar product of vectors F = ma N Force diagrams: fs or fk F mg Friction Static > kinetic Units: m,s,ms-1,ms-2,Kg, N=kg m s-2

Energy & momentum Energy Conservation: K.E, P.E, Heat….. Initial momentum: m1 v0 = m1v1+ m2v2 : 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 s W=F.x Variable force e.g. F=-kx The rate of doing work is the Power Units: J=kgm2s-2=Nm W=Js-1

Gravity Circular Motion F=ma= mv2/R Circular Motion with Gravity v=R gravitational or mgh Circular Motion F=ma= mv2/R Direction tangential v=R a= 2R=(R)2/R=v2/R Direction towards centre of circle m L=(mv)r Angular momentum R Work done = Torque (rF) angle in radians M Power = Torque  Angular velocity Circular Motion with Gravity