Treatise On Natural Philosophy
Treatise On Natural Philosophy
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Let 4 be the amount of the impulse up to time r, and / the whole amount, up to the end, T. That is to saj, lei Whatever may be the conditiouB to which the body struck is subjected, the change of velocity in the point struck is propor- tional to the amount of the impulse up to any part of its whole time, »o that, if ^ be a constant depending on the masses and conditions of constraint involved, and if U, v, V denote the com- ponent velocities of the point struck, in the direction of the impulse, ...at the beginning, at the time r, and at the end, re- spectively, we have «•='•+ r ^'='^+¥- Hence, for the rate of the doing of work by the force /*, at the instant /, we have Hence for the whole work (IT) done by it, = ci+^i(y-U)=mu+v).
309. It is worthy of remark, that if any number of impacts U.- a]>ith(Kl to a body, their whole ettect will be the same whether tlit-y I* applied together or successively (provided that the 2 1 G PRELIMINARY N0TI0X8.
wtirkdone wholc time occupied by them be infinitely short), although by Impact ^^^ ^ork done by each particular impact is in general different according to the order in which the several impacts are applied.
What to read after Treatise On Natural Philosophy?
You can find similar books in the "Read Also" column, or choose other free books by Kelvin, William Thomson, Baron, 1824-1907 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Let 4 be the amount of the impulse up to time r, and / the whole amount, up to the end, T. That is to saj, lei Whatever may be the conditiouB to which the body struck is subjected, the change of velocity in the point struck is propor- tional to the amount of the impulse up to any part of its whole time, »o that, if ^ be a constant depending on the masses and conditions of constraint involved, and if U, v, V denote the com- ponent velocities of the point struck, in the direction of the impulse, ...at the beginning, at the time r, and at the end, re- spectively, we have «•='•+ r ^'='^+¥- Hence, for the rate of the doing of work by the force /*, at the instant /, we have Hence for the whole work (IT) done by it, = ci+^i(y-U)=mu+v).
309. It is worthy of remark, that if any number of impacts U.- a]>ith(Kl to a body, their whole ettect will be the same whether tlit-y I* applied together or successively (provided that the 2 1 G PRELIMINARY N0TI0X8.
wtirkdone wholc time occupied by them be infinitely short), although by Impact ^^^ ^ork done by each particular impact is in general different according to the order in which the several impacts are applied.
What to read after Treatise On Natural Philosophy?
You can find similar books in the "Read Also" column, or choose other free books by Kelvin, William Thomson, Baron, 1824-1907 to read onlineMoreLess
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