Linear mass density
Also called Mass per unit length, Lambda
Linear mass density is the mass per unit length of a rod, wire or string, written with the Greek letter lambda and measured in kilograms per meter. For a uniform object it is simply the total mass divided by the total length.
Mass spread along a line. If a 0.60 kg cord is 2.0 m long and uniform, its linear mass density is 0.30 kg/m.
AP Physics C: Mechanics uses it for nonuniform objects. EK 2.1.B.3.i defines the linear mass density of a rod or other linear rigid body as the derivative of the rod's mass with respect to the position of the differential mass element on the rigid body, and both Physics C sheets print with a symbol list reading lambda equals linear mass density. Turn it around for , the piece that goes inside the center of mass and rotational inertia integrals.
AP Physics 2 needs the quantity and never names it. The speed of a wave on a string appears on that equation sheet as , with mass over length spelled out rather than compressed into a symbol, and the phrase linear mass density does not appear in the AP Physics 2 framework. So on that exam you calculate it and call it mass per unit length.
The reading it explains: a thicker string under the same tension carries a slower wave, which is why the low strings on a guitar are the heavy ones.
The letter is reused. The Physics C symbol lists give as linear mass density, while the AP Physics 2 sheet lists it as wavelength or decay constant. Read the symbol list on the sheet in front of you rather than the one you remember.