The British Gravitational System - BG
The British Gravitational System (Imperial System) of units is used by engineers in the English-speaking world with the same relation to the foot - pound - second system as the meter kilogram - force second system (SI) has to the meter - kilogram - second system. For engineers who deals with forces, instead of masses, it's convenient to use a system that has as its base units length, time, and force, instead of length, time and mass.
The three base units in the Imperial system are the foot, the second, and the pound-force.
In the BG system the mass unit is the slug and is defined from the Newton's Second Law (1). The unit of mass, the slug, is derived from the pound-force by defining it as the mass that will accelerate at 1 foot per second per second when a 1 pound-force acts upon it:
1 lb = (1 slug)(1 ft/s2)
In other words, 1 lb (pound) force acting on 1 slug mass will give the mass an acceleration of 1 ft/s2.
The weight of the mass from equation (2) in BG units can be expressed as:
w (lb) = m (slugs) g (ft/s2)
With a standard gravity - g = 32.17405 ft/s2 - the mass of 1 slug weights 32.17405 lbf (pound-force).
The English Engineering System - EE
In the English Engineering system of units the primary dimensions are are force, mass, length, time and temperature. The units for force and mass are defined independently
the basic unit of mass is pound-mass (lbm)
the unit of force is the pound (lb) alternatively pound-force (lbf).