If I have two forces, [itex]F_1[/itex] and [itex]F_2[/itex], such that, if a body 'a' is applied only one of the two forces, either [itex]F_1[/itex] and [itex]F_2[/itex] for a given experiment and it is determined that.. if only [itex]F_1[/itex] acts on 'a', then the position of 'a' is given by: [itex]r_1(t)[/itex] where '[itex]r_1[/itex]' is a position vector as a function of time and if only [itex]F_1[/itex] acts on 'a', then the position of 'a' is given by [itex]r_2(t)[/itex], where '[itex]r_2[/itex]' is a position vector as a function of time.(adsbygoogle = window.adsbygoogle || []).push({});

Now, the body is subjected to both the forces [itex]F_1[/itex] and [itex]F_2[/itex] and the position of 'a' is given is by [itex]r_c[/itex]. Then, does this relation hold true:

[tex]

r_c = r_1 + r_2

[/tex]

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# Superposition of position functions

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