A, B… 
points in space, curves, surfaces and
solids 
,
… 
matrices and operators 
A, B… a, b… 
units 
,
…
,
… 
variables or modules of vectors 
,
…
,
…  vectors 
,
…
,
…  unit vectors 

scalar product of two vectors 

vector product of two vectors 

derivative of variable
with respect
to

,
… 
derivatives of variable
with respect
to time 

average value of variable

 acceleration 

acceleration vector 

normal (centripetal) acceleration 

tangential acceleration 

cartesian components of the acceleration 

drag coefficient 
cm 
centimeter; also, center of mass 

moment arm of a force 
e 
Euler's number (base of the natural
logarithms) 

kinetic energy 

mechanical energy 
,

normal and tangential unit vectors 
,

unit vectors in phase space 
 force 

elastic force 

frictional force 

weight (gravitational force) 

kinetic and static frictional forces 

normal and tangential components of the
force 

resisting force in a fluid 

acceleration of gravity 

hamiltonian function 
i 
imaginary number

 impulse 

moments of inertia with respect to the z
axis and an axis through the center of mass 

cartesian unit vectors along the
,
and
axes 

jacobian matrix 
J 
joule (SI unit of work and energy) 

elastic constant 
kg 
kilogram (SI unit of mass) 

angular momentum 

effective length of a pendulum 
 mass 
m 
meter (SI unit of length) 

force moment of a couple 

moment of a force about a point P 
N 
newton (SI unit of force) 

normal force 

Reynolds number 

unit vector perpendicular to a plane 

quantity of motion (momentum) 

position vector 

radius of gyration 

curvature radius of a
trajectory 

cylindrical coordinates 

unit vectors in cylindrical coordinates 

position along the trajectory; also,
deformation of a spring 

second (SI unit of time) 

period in a uniform circular motion or an
oscillatory motion 

phase velocity 

potential energy 

elastic potential energy 

gravitational potential energy 

potential energy per unit mass 
 velocity 

velocity vector 

cartesian components of the velocity 
 work 

cartesian coordinates 

angular acceleration 

increase of variable
during an
interval of time 

displacement vector 

displacement along the trajectory 

coefficient of viscosity 

rotation angle of the normal and
tangential unit vectors 

eigenvalue of a matrix; also, Lagrange
multiplier 

coefficients of static and kinetic
friction 

ratio between the length of a
circumference and its diameter 
 density 

angular velocity 

angular frequency 
° 
degree (unit of angle) 