What are common signs of a faulty wheel hub bearing?

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In summary, according to the Hyperphysics article excerpt, voltage is the difference in potential energy between two points, which is physically meaningful. This has the implication that the "zero" of potential voltage is arbitrary, and that momentum is the constant force needed to bring an object to rest in exactly one second.
  • #36
Rasalhague said:
[tex](1) \enspace m\textbf{v}.[/tex]
[tex](2) \enspace \frac{m_0 \,v}{\sqrt{1-\left ( \frac{v}{c} \right )^2}},[/tex]
[tex](3) \enspace E^2 = \left ( pc \right )^2 + \left ( mc^2 \right )^2,[/tex]
[tex](4) \enspace E = pc[/tex]
[tex](5) \enspace p = \frac{h}{\lambda},[/tex]

Actualy, all these definitions are related. All of them can be interpreted as infinitesimal generators of translations
[tex]\phi(x+\delta x)\sim \phi(x)+\delta x^{\mu}\partial_{\mu}\phi\equiv \phi(x)+\delta x\cdot p[\phi(x)] [/tex]
(A factor [tex]i\hbar[/tex] is required in the quantum definition for mathematical reasons).
So, first fact, momentum is related to space and time translations (in relativity, energy is the momentum component related to time translations). There is a similar derivation for the energy momentum tensor.
The mathematical fact is the momentum, on whatever the representation you choose to act on, is conserved whenever the underlying system is invariant under translations. And the physical principle is that the undelying space on which matter exists is itself invariant under those translations (or have other symmetries leading to other conserved quantities). All the physical interactions may be thought off as local momentum interchanges.
On a more technical side, it could be said that SO(3,1), the group representing the symmetry of flat space in general relativity has two (Cassimir) invariants: [tex]P^{2}=M^{2}[/tex] and spin. That means any irreducible representation of this group (that is, any free particle) can be labeled by those two. Eq (3) merely states that a free particle has a constant momentum. Of course, when you consider the rest of interactions, Electromagnetic weak and strong, you have to add additional labels.
 
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  • #37
after reading other answer everybody define only its exact definition of it nobody tell its practical feel as a engineering student what i feel is that it is a impact which act on a body when it hurt or get collide with some other body mean more momentum more impact also we can say a type of inertia acting for a long time
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