Recent content by rulo1992

Homework Statement I need to show that a particle suspended on a spinning liquid (which is spinning with constant angular velocity) describes a spiral . (I need to solve this without using Lagrangian-Hamiltonian formalism)Homework Equations [/B] Weight and Bouyant forceThe Attempt at a...

Hello, I am studying for an analytic geometry final but I am totally lost for this problem... We didn't even cover this topic in class (my prof didn't show up for class for two weeks) and I have no clue on how to do it. If anyone could help I would appreciate it. Question: Prove that the...

The problem is: Let A, B and C be fixed points, and α,β,γ and κ are given constants, then the locus of a point P that satisfies the equation α(AP)2+β(BP)2+γ(CP)2=K, is a circunference. Prove it. I need at least some hint to answer it, I tried using the distance between two points formula but I...

If the initial velocity is not enough to get to the top, would the movement then become a simple-harmonic motion?

how can I express the forces that act on the particle with x, y coordinates instead of polar coordinates?

How are Newton's 1st and 3rd laws applied to the forces acting on the particle? this is the last question of my homework, and I'm having problem answering it correctly in a few lines. Do I have to consider inertial and non inertial frames separately?

What I don't get is how is it possible to calculate the initial velocity using conservation of energy. Because if height=(R(1-costheta)) , is it correct to use the formula:1/2m(velocityatbottom)^2=mg(R(1-costheta))? or am I doing something wrong? I don't get how can kinetic energy be 0, if the...

Oh yes sorry my mistake we have to use cos indeed. Another question if you don't mind, will this initial velocity depend on the tension of the string?

And considering the circle rotates counterclockwise and at 2∏/3 radians tangential acceleration exists again(parallel to velocity, so it accelerates) , is it really possible for the object to only rotate to 2∏/3?

Can I use polar coordinates? so y=rsen120 when the angle is 2pi/3 radians, and so the height at that point would be r+rsen120?

Hi, I have another question, in another section of my homework it asks me to calculate the initial velocity if the object traveled to 2pi/3 radians, but how can I do it if I don't know any angular velocity nor acceleration?

Ohh I get it the resultant force points towards the center of the circle, therefore there's no tangencial acceleration right?

If the velocity vector(tangent to the trajectory) is antiparallel to the tangential acceleration vector, speed decreases. But that doesn't answer my question :( Sorry but this is my first post and I don't know how to use latex

Well question no. 1 asks for the minimum velocity required to get to the top of the circle, so the particle does not necessarily move in a cirlcle after that point.

Homework Statement Suppose a non-uniform circular motion where a particle of mass "m" is attached to a string, which rotates on a vertical plane. Once an initial velocity is provided to the particle at the lowest point of the trajectory, no further forces act on the particle. (Air drag is...