Recent content by FreezingFire

Ah, i get it now! The first equation should have had ##a_y## and the second, ##a_x## (i did it by mistake). And the 3rd equation should have been: $$ T \sin \theta \cdot \frac l2 = \frac{ml^2}{12} \cdot \alpha \qquad \text{...(iii)} $$ Now the answer comes as: $$ T=\frac{mg}{4 \sin \theta +...

Homework Statement "Find the tension in the right string, when the left string is cut, if the mass of the rod is ##m## and its length is ##l##, and ##\sin \theta = 3/5##. The rod is initially horizontal." Please refer the diagram below (sorry for its clumsiness!). Homework Equations $$I_{rod}...

Can someone please help me with these questions?

Anyone there?

If you mean that the book says ##\large \theta = \cos^{-1}\left(\frac {\sqrt 3}{3}\right)##, then it is the same as ##\large \theta = \cos^{-1}\left(\frac {1}{\sqrt 3}\right)##! Your answer is correct! :)

Also, I see that perhaps my doubt #3 is a bit confusing. So I will reword it: 1. Standing waves on string fixed at both ends Consider a wave ##y_i = y_0 \sin(kx - \omega t)## on a string fixed at ##x=0## and ##x=L##. As the incident wave gets reflected from the fixed end at ##x=L##, the...

Anyone there? Please help me with all my three doubts!

Check the relevant equation ##P_a + P_b = 0##. Are you sure that's correct? Shouldn't it be something else: $$P_i = P_f \implies P_{a_i} + P_{b_i} = P_{a_f} + P_{b_f}$$ The ##i## denotes "initial" and ##f## denotes "final".

Thanks for the detailed answer, but I already knew this explanation from our textbook! What I further need is how do we explain this in terms of forces only [this is for doubt (1)]. I now realize that maybe this delves deep into how a wave actually propagates on a string in terms of forces...!

Most interesting parts of physics for me is mechanics and energy. However like most others, I also immensely like Cosmic Physics and Quantum Physics for reading sometimes! :)

Thank you very much! :)

I have three doubts in regard to waves on a string which I will try to make as clear as possible. For this purpose, I have considered a general wave: $$y_i=y_0\sin(\omega t - kx)$$ (1) If a wave pulse: $$y = y_0 e^{\frac{-1}{T^2} \left(t-\frac xv \right)^2}$$ is incident against a rigid...

Homework Statement [/B] "Derive a relation between the static pressure P at a point and its depth y from the free surface of the liquid. Given the surface density of liquid is ρο, and compressibility of the liquid is k." Homework Equations ##ρ(P) = ρ_οe^{kP}## ##dP = ρg dy## The Attempt at a...

Hello! I am introducing myself here. I am a student studying class 11 and a physics enthusiast! I especially love practical applications of physics. Thanks for "reading" me out! :smile: