Recent content by cherry

The center of mass of a thin rod is at L/2. My derivation for the mass-moment of inertia of a thin rod about a vertical axis based on the diagram provided is the following (x is along the axis of the rod): $$ \rho=\frac{m}{L} \longrightarrow dm=\frac{m}{L}dx $$ $$ I=\int_V{\rho r^2}dV $$ $$...

I am not getting the right answer and I don't know where I am going wrong. Help would be appreciated, thanks! (My apologies if my equations are not formatted correctly, I am still having trouble using LaTex on here) My work...

Hi, I'm struggling to understand how two different coordinate systems come together. In this question, I reached my answer for the angular velocity which was incorrect. The correct answer is ω = 0 rad/s I think my biggest error happen in the step where I equated vB to each other. When I did...

Hi, I'm a little confused on calculating the moment of inertia about the z-axis. For calculating the moment of inertia about the y-axis, I did the following (verified to be correct): Iy = 1/12 * 80 * 90^3 + 1/12 * 80 * 30^3 I did the same for the z-axis but it turned out to be wrong. The...

TL;DR Summary: A 10-kW engine drives a solid round steel shaft 1 m long by means of a V belt and pulley at the midpoint of the shaft. At one end of the shaft 7 kW is removed and at the other end 3 kW is removed. The shaft diameter is 15 mm and it operates at 1000 rpm. Assuming that no power is...

Oh my gosh, thank you!

Hi, I'm having difficulty understanding why the interval of convergence is (0, 18]. When I tested x=18, I got the following conclusion using the ratio test. When I attempt using AST, the function still diverges as the lim (n -> inf) = 2^n / n ≠ 0. What am I missing? Thanks!

Hello, this is my attempt for #19 for 11.6 of Stewart's “Multivariable Calculus”. The question is to determine whether the series is absolutely convergent, conditionally convergent, or divergent. The answer solutions used a ratio test to reach the same conclusion but I used the comparison test...

My understanding of the question was that since current is a single value, the magnetic field is uniform across the wire and the rectangular loop. Hence, why B wire is also a single value. I got the direction of force using the RHR.

Hi, I am struggling to get the right answer for this question. My first thought was that I should consider to what direction does each segment of wire have a force towards. I found the direction to be in the following (see red arrows): My past attempt was: Floop = [FONT=book...

Hi! I am a very lost physics student here. I got a) but I have no idea how. The formula I used was from an online source and it was: I think I need a contextual explanation of this formula before I attempt b). My understanding of electric potential is that it is NOT potential energy, but...

Hi! My attempt at this solution was: ∫dF = k*q*Q / 2L ∫ (1/r^2) dy and we know that r^2 = D^2 + y^2 based on the diagram. Here is where I start getting confused. I looked at a different physics forum post and the mentor gave this equation: I am mainly confused with the math. How did he end...

Got it, thank you!

So whenever there are concentric circles, the electric potential is the same? Oh, so whenever there are concentric circles with different radii, the electric potential is the same across all circles?

Hi! Sorry, I forgot to upload the picture. For some reason, I am not getting the settings to upload a photo. So here is a Google Drive image of the diagram.