hey very well explained..u made me feel how can i be so dumb to not being able to derive it..i've my exams soon so im in a too hurry ..which is making my brain stop working i actually did the differentiation part then i was like how am i gonna get √A²-X² thanks a lot for helping out
*Most can derive this* 14 yo me solving it with negative problem We have the energy as 1/2 kA^2 and 1/2 mv^2 + 1/2kx^2 and k = w^2x m So shift position and obtain the results
Well done!!! Very impressive at this age! Just a note that this solution is specific for springs, in general for SHM otherwise we would need to to do it with calculus as shown in the video. Well done!
@@zhelyo_physics very well explained video as well, i was initially searching for if my derivation is correct, i did a few pre steps which you did later tho 😅
@@zhelyo_physics you can use calculus to derive energy as x = Acos(wt), so if you take the derivative, you get velocity as -wAsin(wt) and i am considering the initial angle in the cosine function as 0, which would make it a little easier to solve We can solve for the whole thing to get w = √(k/m), so i did a few pre steps