Recent content by physicsnewblol

After some though and comparison to classical mechanics, I've determined that the assumption that the height of the ball decreases linearly with arc length is not correct. It seems my potential term is going to be some complicated function of arc length. Anyone else have thoughts?

Homework Statement I want to be able to plot a trajectory wrt time of a ball that rolls without slip on a curved surface. Known variables: -radius/mass/moment of inertia of the ball. -formula for the curvature of the path (quadratic) -formula relating path length and corresponding height...

I've given this some thought, was wondering if some higher up could check my reasoning/math: Coordinate system: x,y conventional. Say we have a ramp given by the cubic function: y(x) = ax^{3} + bx^{2} + cx + d If we start the cart at x = 0 and y = y_{0}, where y_{0}, is a maximum, the...

Hi all, I'm trying to write a Matlab simulation that determines the velocity of a car of known mass and moment of inertia which travels on a track whose curvature is also known. To say the least, I'm at a loss as to what approach I should take to create my simulation. I'm finding it...

Nevermind, I was doing the problem correctly but the book listed an incorrect answer. To answer my own question, you simply choose one of the points as the application point of the force. You then proceed to find the distance vector which is essentially the application point written in vector...

In general, how would you find the moment of a force given: the magnitude of the force two coordinates that form a line that contains the force vector the pivot point using Varignon's Theorem

found a little blurb in my book: "If the equation of the force is in the form of the f = -kx (I forget the name, it has to do with springs) then the motion is simple harmonic"

regarding complex roots, the rule of thumb or some theorem states that if (a - bi) is a solution, then (a + bi) is a solution as well. Break up the polynomial into its simplest, non complex roots, then take the roots with variables higher than degree 1 and break them up.

E&M Electric Fields (Harmonic Motion?) This problem comes out of "Physics (for scientists and engineers w/ modern physics) Volume 2 7th Edition" by Serway/Jewett Review Problem Two identical particles, each having charge +q, are fixed in space and separated by a distance d. A third particle...