Recent content by Soren4

@gneill Thanks so much for the clear answer to the question! To sum up, in this case, can I determine the equivalent capacity by the following? $$C_{eq, x\to y}=\frac{q_1+q_4}{V_x-V_y}=\frac{q_3+q_5}{V_x-V_y}$$ And can I evaluate the charges I need (e.g. ##q_1## and ##q_4## ) by using mesh...

Thanks for your answer and the clear picture! I'm also learning how to use KVL properly, nevertheless I asked just because of the equivalent capacitance of the system between points ##x## and ##y##. Suppose that, using KVL, I find out ##V_x-V_y##. Then how do I calculate ##C_{EQUIVALENT \, x...

Homework Statement Calculate the equivalent capacity of the capacitor system between points ##x## and ##y## Homework Equations ##C=q/V## The Attempt at a Solution I'm asking about this problem because I know how to calculate ##V_x-V_y##, but I don't know how can I extract the equivalent...

Thanks a lot for your answers and your help! I still do not really get if statements like the one in my question are somehow true or not... The remainder is bigger where ##f''(\zeta)## (the second derivative) is bigger, and there the approximation is worse. But here for istance, I understand...

I studied Taylor series but I would like to have an answer to a doubt that I have. Suppose I have ##f(x)=e^{-x}##. Sometimes I've heard things like: "the exponential curve can be locally approximated by a line, furthermore in this particular region it is not very sharp so the approximation is...

Thanks a lot for your kind help! The only possible equation in the link relating these variables is $$v=\sqrt{\frac{T}{\mu}}=\sqrt{\frac{T}{m_{rope}/L}}$$ I rewrite the two conditions I have $$f_1 \cdot 2 L=v_1=\sqrt{\frac{T_1}{\mu}}=\sqrt{\frac{T_1}{m_{rope}/L}}\tag{1}$$ $$f_2 \cdot...

Thanks again for the answer! Knowing ##\mu## allows me to get ##L## once I know ##m_{rope}##. But getting ##m_{rope}## is still a problem, as ##m_{rope}## has nothing to do with the mass of the object ##m##, its volume ##V## or its density ##\rho##.. So it is still an indipendent variable.. I...

Thanks a lot for the reply! I read all the link and formulas but I fail to see the piece of information I did not use. After all here I have 3 indipendent unknown Lenght of (horizontal part of) the rope ##L## Density of the object ##\rho## Mass of the object ##m## or, equivalently its volume...

Thanks for the answer! Having the wavelenght would solve the problem because ##\lambda_1=\lambda_2=2L##, the problem is that I cannot have ##v_1## and ##v_2## but only the ratio $$\frac{v_2}{v_1}=\sqrt{\frac{T_2}{T_1}}$$ Which I already used to determine ##\rho##. Is there another condition I...

Homework Statement A rope has an end fixed and the other is passing through a pulley and has a body attached to it. The fondamental frequency of the rope is initially ##f_1=400 Hz##. If the body is then put in water the fondamental frequency of the rope becomes ##f_2=345 Hz##. If the linear...

Thanks a lot for the answer! For part b) The pressure on the vapor equals the (constant) pressure due to weight of the piston ##p=\frac{(9.81 m/s^2 \cdot 3 kg)}{\pi r^2}## $$P=\frac{dV}{dt} \frac{c_p}{R} p$$ Here I used the fact that, in isobaric process the heat can be written as##Q=n c_p...

Homework Statement Consider a cylindrical tank closed by a movable piston with mass ##m=3 kg##. The radius of the cyclinder is ##r=7.5 cm##. In the tank there is a mass ##m'=2 kg## o water at temperature just below ##100°C##. At the base of the cyclindrical tank there is an electrical heater...

Homework Statement Homework Equations Fluid in rotation The Attempt at a Solution This exercise is quite different from the classic one of fluidi in rotation. Before rotation starts the height in one branch is bigger than in the other, so I do not really know how to approach the problem...

Homework Statement Two infinite ropes, rope 1 and rope 2, of same linear density ##\mu=0.1 kg/m## have the same tension ##T=100N## and lie on the same plane, one perpendicular to the other. The two ropes are connected in the origin. On one of the two branches of rope 1 an harmonic wave is...

Thanks so much for the reply! Taking the projection of ##v_A## on ##v_S## gives the correct result! The two ways looks quite equivalent, the only thing I could think of is this If I set ##v_{A,projection}=v_{S}## this means that ##v_{A}>v_{S}## (supersonic speed) If I set...