Newton's laws can be deceptively simple. To understand the point being made by the first law one has to study properly about frames of reference and why & how to set them up before applying the Newton's laws.
I don't want to spoil the learning by explaining it further here. Reading Halliday...
Differential Equations by Lomen and Mark
Differential Equations and Boundary Value Problems by Edwards and Penney
Really good books !
Needless to mention that Mathematical Physics by Mary Boas might have all ODE stuff needed for Physics.
I was going through http://mathworld.wolfram.com/LaguerreDifferentialEquation.html" in Wolfram which gives brief details about finding a power series solution of the Laguerre Differential Equation. I was reading the special case when v = 0.
I read earlier from Differential Equations by Lomen...
Another book that discusses neatly the Bessel ODE is Differential Equations by Lomen and Mark. It gives all basic details, definitions and theorems (without proofs) that are required to solve the problem. This book assumes that you have already done a basic course in Calculus are comfortable...
As far as I understand law of conservation of momentum is because of Newton's Laws of motion. It is difficult to say whether it is because of first, second or third alone. The three laws are not independent laws. They come as a whole and not individually, or one by one.
First law says that...
I see that there have been replies to your question. I would just like to add another way of looking at it. So here goes...
Imagine a trough filled with liquid till the brim. Let the liquid be in equilibrium. Consider a small cubic section of the liquid, of dimensions A x A x A and mass M=A^3...
I assume that you are doing a course in Introductory Mechanics. The book by Kleppner & Kolenkow is really good for such a course. However in that book, the authors have begun from Law of conservation of energy and angular momentum and have derived the polar form of the equation. I believe that...
I am reading Introduction to Mechanics by Kleppner and Kolenkow. I am now reading the articles dealing with conservation of angular momentum. I am not satisfied with the articles dealing with how the third law does not lead to conservation of angular momentum. Could anyone please throw some...
I have heard physics profs say many a times that using Minkowski's space to understand such things is more profitable. It clears most of the so-called paradoxes.
Cheers
All known forces are found to obey the third law. As rightly pointed out earlier, "Gravity" is the reaction force of "Gravity," as the law itself mentions that for every force, there is "equal(both qualitative and quantitative)" and "opposite(in direction)" reaction.:approve:
Dear all,
I have some difficulties in understanding to use the method of images to solve Poisson's/Laplace's equation with boundary values.
I understand that the Uniqueness theorem(s) enables this method. In this method we use image charges and setup a different configuration without...