Understanding Inertial Properties: The Role of Mass in Resisting Motion

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Mass is a key property of an object that contributes to its resistance to changes in motion, particularly in a vacuum. However, if the object possesses an electric charge, additional factors come into play. The presence of an excess charge introduces a "radiation reaction force," which increases the force required to accelerate the object. For instance, a charged particle requires more force to achieve the same acceleration as an uncharged particle of equal mass. Therefore, both mass and charge influence an object's resistance to motion.
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Does only 'mass' as a prop. of an object responsible for resistance to change in motion?
 
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astro2cosmos said:
Does only 'mass' as a prop. of an object responsible for resistance to change in motion?

Yes. If you are in a vacuum.
 
astro2cosmos said:
Does only 'mass' as a prop. of an object responsible for resistance to change in motion?

Only if the object is uncharged. If the object has an excess electric charge of either sign, then in addition to the "inertial reaction force" (object's resistance to acceleration), there will be a "radiation reaction force." For example, it takes a greater force to accelerate a 1 kg particle with an excess charge of 1 coulomb, than it takes to give the same acceleration to a 1 kg particle with zero excess charge. The additional power expended in the charged case flows out into the particle's electromagnetic field in the form of electric and magnetic field energy.
 
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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