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AngularMomentum Gonzaga University(AngularMomentum 贡扎加大学)
Angular Momentum
1 Object
To verify conservation of angular momentum, determine the moment of inertia for various objects
and look at the exchange of angular momentum in different situations.
2 Apparatus
A rotational dynamics air table, two steel disks, one aluminum disk, one plate assembly, two different
steel hoops, a balance, meter sick, and computer with interface software.
3 Theory
While we may be quite familiar with linear momentum (p ) and the related quantities mass (m) and
velocity (v), the quantities angular momentum (L), moment of inertia (I ), and angular velocity (ω )
are somewhat less familiar. Linear momentum is a physical quantity which describes the motion of
the center of mass of an object, or a system of objects. Angular momentum is a physical quantity
which describes the motion of an object, or a system of objects, rotating about a given axis. If you
throw a stick, the motion of the center of mass of the stick moving across the room results in linear
momentum, the stick spinning or rotating as it flies across the room results in angular momentum.
Linear momentum, p = mv , is a useful quantity, in part, since if there is no external net force acting
on a system, the total linear momentum of that system is a conserved quantity. Remember,
dp dp
Fnet = Fnet = 0 ⇒ = 0 ⇒ p = constant (1)
dt dt
A similar rule is true concerning angular momentum. If a system has no net external torque acting
on it, the total angular momentum, L = Iω , is conserved or constant.
dL dL
τnet = τnet = 0 ⇒ = 0 ⇒
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