Inertia of Isolated Mass: Can it be Defined?

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Inertia, defined as the resistance to changes in motion, is inherently linked to mass in physics. An isolated mass does possess inertia, as it has mass. However, the concept of applying an external force becomes problematic in the absence of other masses to create a reaction. Without other masses, the application of force cannot occur, complicating the definition of inertia in this scenario. Ultimately, while inertia can be defined for an isolated mass, its practical implications are limited due to the lack of external interactions.
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If there is no mass in the universe but one isolated mass, can we define "inertia" for this mass?!
 
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Inertia is the resistance to a change in motion of an object when an external force is applied. Inertia is really just another word for mass in a physics sense. So yes, if it has mass it also has inertia.

Every force must have an equal and opposite reaction though, and since there are no other masses to react, there is no way to apply an external force.
 

Thread 'Derivation of Hamilton's Principle: Questions'

I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
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