1. EE1 Particle Kinematics : Concept Summary
EE1 Particle Kinematics : Concept Summary. To understand do the problems !
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

2. 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

3. 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

4. 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