Recent content by brotherbobby

Yes I was aware of this, but didn't succed when I tried to do the same problem your way. Let me show you the little I could do. Problem Statement : Solve for ##\boldsymbol{x}## : ##\quad\boldsymbol{\sqrt{3}\cos x+\sin x = \sqrt 2}##. Given : ##\cos x = \dfrac{e^{ix}+e^{-ix}}{2}## and...

Thank you all, especially at @haruspex and @pasmith. I have solved the problem. It involved really a mistake that I made in my calculations.

Problem statement : I copy and paste the problem as it appeared in the text to the right. Attempt : ##\quad \begin{matrix} \sqrt{3}\cos x +\sin x &=& \sqrt{2}\\ \Rightarrow\dfrac{\sqrt{3}}{2}\cos x + \dfrac{1}{2}\sin x &=& \dfrac{1}{\sqrt{2}}\\...

I have drawn a figure of what I meant to the right. A ball is projected vertically from a point A on the ground with a velocity ##v_0##. It travels to a maximum point B at a height ##h## from the ground and falls back to the ground. Imagine a point C intermediate between A and B at a height of...

Sorry for coming in late. I would use the method you proposed @kuruman presently, but please tell me if there's something wrong with my solution above. (Post #1) I think it would be better if I put the problem statement again. Of course it's crucial what I am assuming as "co-ordinates of the...

I had asked at @A.T. : ``Is it also true that for a ball thrown vertically up and which rises to a maximum height ##h##, the time to scale a height ##y## is the same as the time that the ball dropped from the height ##h## will take to fall a distance ##y## down?" What I meant was, if the ball...

I copy and paste the problem to the right of the screen. Please look at part (c) where, we believe, the error has taken place in what we are seeking to prove. This is the book, complete with its author(s) and edition : Riley, K.F.; Hobson,M.P.; Bence,S.J. (2006) Mathematical Methods for...

Yes that's a possibility.

When you type your problem statement and relavant equations, you have to include actual equations in LaTeX. Your problem statement may contain an equation. As for relevant equations, it goes without saying that you may have an entire list of them numbered from 1 to ##n##. Sometimes, I even...

Yes. Upon edit, only if it's the opening post (#1) of the thread, the ##\rm{\LaTeX}## codes disappear. What I do is to open an older page of the post and rewrite the equations again in the new page. But of course it's a lot of work all over again. And each time you edit your thread opening...

Problem statement : I copy and paste the problem as it appeared in the text. [Kleppner, D., Kolenkow, R. (2014). An Introduction to Mechanics. Cambridge University Press (2E)]. The statement itself is rather long-winded. The question to be answered appeared towards the end of the passage ...

None of the codes in the Relevant Equations show. It is my mistake too that when I decided to edit my original message that starts the thread (#1), I edited only the "body" of the message, without looking at the title or the Relevant Equations, or the Problem Statement. Anything written in...

The ##\rm{\LaTeX}## renders but is cleaned upon an edit. You have to type all LaTeX codes again.

Thank you @Ibix. I should add, to help the admin, @Greg Bernhardt, that the formatting in ##\rm{\LaTeX}## does not disappear in the main text, where we type in our attempt and doubts, if we try to edit our message. Needless to say, this is also not a problem in all future replies. But for the...

Hi @pasmith, yes it seems I was mistaken too in my plotting on ##\verb|desmos.com|##. I took the constant ##k## with a positive ##(+)## sign. Of importance is the minus ''##-##'' sign before the term ##k## in the question, as you pointed out. If it was ##+k##, then the book is correct. As it...