Circular Definition and 999 Threads

So we have an incline of slope θ, which is I circular motion around a pole with steady angular velocity ω. A body on the incline is at distance r frome the pole and stays at rest. Calculate the minimum friction coefficient so that it stays at rest. So I analyzed the forces in 2 different...

TL;DR Summary: Ball in a moving circular bowl. No friction. Assume the mass has no effect to bowl acceleration. Ball is modeled as a pointmass (no rolling). Cartesian coordinates Hey :) I have a question regarding a mechanical problem. I want to simulate a ball in a moving circular bowl. The...

How does pi in physics relate to circular motion and waves? never saw a real life example where understanding pi improves engineering...😏 edit: [Link Spam edit deleted by the Mentors, and spammer OP has been banned][/ b]

Last time I posted to the forums I was told to use some type of text thing to make equations easier to read for clarity, but I can't figure it out, so sorry if this is hard to read. I know that d = 10-r After making a free-body diagram, I thought the circular force had to equal Tension +...

Hello all, i hope you're having a nice day. I have a question about analytical heat transfer coefficient (HTC) calculation/determination for a rectangular duct curved in a circle. I have found some literature on this topic and also found empirical equations for rectangular cross section...

[ Given that an "electret" can be made, that retains a persistent electric field, most often as a flat slab with a perpendicular field ] Can an electret be made with a permanent circular electric field ? Eg in a slab with the field forming a loop in the plane of the slab ? It would have to be...

So far I believe that speed changes during vertical circular motion, and its very hard to get uniform circular motion that is in the vertical plane. This is because there is a difference in vertical height between the bottom/top of the circle so at the top the object must have done work against...

I thought the opposite should be true since its a general planar motion its not necessary that the magnitude of radius vector is constant so the change in direction and magnitude of radius vector should be generated by the perpendicular velocity vector and parallel velocity vector respectively ...

I also tried to solve for T when the centripetal force is equal to the tension in the x-dir, but I got 2.174s and that's not the right answer either. I'm not sure what I'm doing wrong exactly.

I calculated the acceleration which is 0.804m/s^2. From there I calculated the centripetal force which is 0.402N. I think my lack of answer is due to my lack of understanding of the concept of what the centripetal force is at the top of the circle. Would it not be Fc = Fg - Ft as the ball...

I had an exam ques which was as follows: The first part is clear to me.....it is uniform (or constant) speed. I am in doubt on the account of the second part as the answer key says this: So the overall question concerning the second part is as follows: We know that the direction of...

We see under trees circular light that goes from sun through the leaves gaps. Why does it create a circular shape and not other shapes? why does this diffraction phenomenon create it in circular patterns?

I assumed that the radius is referring to a major R like in the image below. I plugged all the values (except for length) into the equation B = µ*N*I/2πr to get 155.6 A for the current value. I am unsure if this is the correct value or if radius refers to minor r of solenoid, in which case a...

Can someone please check if I got the correct answer. Thank you! I got: Fy= N + Fg = mac N + mg = mv^2/r g = v^2/r r = v^2/g r = (48.61)^2/9.8 r =...

In a pulsar paper, two terms were mentioned: circular polarization fraction and absolute circular polarization fraction. 1. What is the absolute circular polarization fraction? 2. What is the difference between them?

Consider a circular loop with uniform current flowing around it in a uniform magnetic field. Does it experience no translational force due to its symmetry

How should I calculate the angular momentum carried by a current carrying circular wire? Is it correct to consider the angular momentum of the electrons moving with drift velocity? Like ##L = n m_e v_{drift} r## where ##r## is radius of the loop, and ##n## is total number of electrons moving in...

I believe I've solved this problem, however, I got through it pretty quickly and since it's the last problem on the assignment, I feel that I may have had an oversight. For part a, I got: fs=md(α^2)(t^2) and for part b, I got: ω=Sqrt((µs*g)/d) Could someone confirm my answers? I've attached a...

This is a UK A-Level question that I'm really struggling with, and can't seem to find any resources online that explain it well. I've been given the following details: mass of gokart + driver = 520kg radius of track = 42m Maximum frictional force between tyres and road on flat track F = 20%...

For whatever reason, I'm having a hard time conceptualizing this problem. I understand that the tangential components of all forces involved need to cancel out in order for the bead to be stationary. I also understand that there is a mgsinθ in the negative θ-hat direction. What I don't...

I'm finding what seems to be conflicting information on this question and could really use some help. It's my understanding that circularly polarized light is composed of two perpendicular linearly polarized components with a 90 degree phase shift between them. When considered individually...

So the only problem I am having is determining the direction of static friction. I did the same problem but while they were going in a vertical circular motion instead, where the static friction force was in the direction of centripetal force (pointing to the center of the circle). Would it be...

Schutz finds that the orbital period for a circular orbit in Schwarzschild is $$ P = 2 \pi \sqrt {\frac { r^3} {M} }$$ He gets this from $$ \frac {dt} {d\phi} = \frac {dt / d\tau} {d\phi/d\tau} $$ Where previously he had ## \frac {d\phi}{d\tau} = \tilde L / r^2## and ## \frac {dt}{d\tau} =...

For (c), Solution is Can someone please explain how they calculated that angle? I thought they would do ##arc\tan (\frac {32}{3.35})## Many thanks!

For this problem, The solution is, Does anybody please know another way to solve this problem? EDIT: Why do they assume that no energy is absorbed by the water? Many thanks!

Can someone show that the instantaneous circle is indeed given by when the centripetal force is removed? This can be found at https://www.vedantu.com/iit-jee/circular-motion

The answer key states that the new tangential speed is half the original speed. However, this isn't correct right? It should double. My proof: ##F_c = \frac {mv^2} R## ##F_c = F_t## ##\frac {mv^2} {\frac R 4} = \frac {m(2v)^2} R## If centripetal force were to stay constant. As such, tangential...

I tried the formula I showed up there but got 0.399 instead of 7.88rad/s^2.

V = ? m/s V = D/T V = Square root (6.67 * 10^-11)(m)/r

T= m*vmax^2/r 1500 = (80kg)vmax^2/4.5

I tried solving it and i was able to do a) and b) here is what i did on c), but its not correct according to the solution

Found the speed at which the masses will travel after their collision: 2.25m/s Not sure what to do next...

All the inductor components I’ve see are made with a circular core instead of a cylindrical core. Are there any advantages to this design in terms of field strength relative to input current (assuming the same number of turns of wire)? In the field strength equation, is “coil length” always...

From the equation for centripetal force, I can see that the centripetal force is proportional to v^2. Does this have something to do with why there is a normal force at the top? Does the velocity of the object require there to be a normal force? If so, why is that the case?

Summary: I am just trying to go through a Brilliant physics unit. I came across this axe throwing question which I don't get at all how they get the answer. You can see the answer there. So their explanation is; 'In going around the circle, the red point moves through an angle of θ =...

Statement: The magnetic field around a straight wire carrying a current can be explained Relativistically by changing the inertial frame of reference to the frame of the moving electrons - i.e., a Lorentz contraction of the positive charges in the wire will give a denser concentration of the...

I understand that the two separate parts make 2/3, but where is 1/12 ohm coming from?

Hello everybody! I have a silly question that is blowing my mind. When there is a circular polarized electric field, it can be interpreted as the real part of a complex field, for example $$E(t) = E_0( \hat{x}+i\hat{y}) e^{-i\omega t}$$ Now, for some selection rules it is useful to calculate the...

Haii, I don't understand why I need to choose my n-t components in the direction of a circular motion and can't just use them with the n-axis along the rope and the binormal perpendicular to the surface.

My notes say that the Resolution of the Aperture(in the Electric field of the wave) is the Fourier transformation of the aperture. Then gives us the equation of the aperture: and says that for the circular aperture in particular also: My attempt at solving this: We know that the Fourier...

Could someone please help me solve this?

Hello everyone! I was wondering why can't we take a rotating body and see the linear movement that each particle moves to find the 'total linear momentum,' I imagine this quantity would be conserved, and furthermore couldn't you write the total linear momentum as a function of angular velocity...

Hello everyone, I've been studying centripetal and centrifugal acceleration and derivation of their magnitude. I noticed in one of Walter Lewin's lectures that the velocity is written as both a vector and an arc length which is confusing to me. When velocity is written as a vector, it has a...

I started by making my coordinate system so that the x-axis aligned with the radius of the circle at a certain latitude L and the positive direction was facing away from the center of the circle, and the y-axis was parallel to the vertical axis of the Earth. Then, I wrote the equations for the...

The second equation gives the magnetic field at a point away from the center of a circular current. If we multiply this by the the area we get a function for the magnetic flux. We have an increasing current which induces an increasing magnetic field. Now just solve for x in the second equation...

i think that the light sphere will go up higher(will have bigger acceleration) because there has to be a balance between the mass and the acceleration as long as the force is the same, for example if you push a heavy object and with the same force pushed another light object the light object...

Problem: a particle of mass m is in a circular orbit around a planet at a distance R from the center. The planet mass is M and it's radius is R_0. What is the tangential impulse that will cause the particle to brush against the back of the planet? Describe the orbit. The attempt at solution...

So first I found the velocity of the ball at the bottom of the swing from the force equations, which I got to be 4.9 m/s and this is only in the x-direction. Then using the projectile motion for delta y I found time, which is 0.2s. Then using that time I found the delta x to be 0.98m. I just...

Hello , First of all , I am still new to circular motion or any motions in general and still relatively learning so please bear with me. 1 . The direction of the tangential acceleration is parallel to the net velocity and that of radial of perpendicular to the velocity. So the direction of net...