Recent content by Niner49er52

also forgot to add a value for the unstretched length of the string, i guess l(naught) would work fine

sorry i realize how that was confusing, i should have made h=(L-q)sin(alpha) rather than that y

it is attached to the center of the disk. L is the total distance of the incline. and i made q the direction of motion, it isn't an actual distance in the diagram

ive attached a diagram i made of this so it is easier to understand

for the disk itself, it will roll through a distance, or arclength, which is why i first thought the constraint would be its radius times the angle at which it rolls through, theta

i guess we could say it is at a height h above the ground as well, and if the length of the hypotenuse is L, and the angle is some alpha, then that height would be (L-y)sin(alpha)

say the disk is near the center of the hypotenuse of a right traingle. the spring is attached at the very top of the triangle and is connected to the disk

lets choose the y-direction to be the way in which it is rolling. the disk is rolling about that point

Homework Statement I'm wondering how to write the equation of constraint for a solid disk (mass m, radius R) that is attached to a spring (spring constant k) and rolls without slipping. Any suggestions? Homework Equations there are no equations to use, but this has to do with lagrange's...

just realized i made some mistakes when posting, wherever there is an omega as an exponent it should not be there! it is just multiplied through

Homework Statement A damped harmonic oscillator originally at rest and in its equilibrium position is subject to a periodic driving force over one period by F(t)=-\tau^2+4t^2 for -\tau/2<t<\tau/2 where \tau =n\pi/\omega a.) Obtain the Fourier expansion of the function in the integral...

Homework Statement A double pendulum consists of two simple pendula, with one pendulum suspended from the bob of the other. If the two pendula have equal lengths and have bobs of equal mass and if both pendula are confined to move in the same plane, find Lagrange's equations of motion for the...

Homework Statement two blocks each of mass m are connected by an extensionless uniform string of length l. one block is placed on a smooth horizontal surface and the other block hangs over the side the string passes over a frictionless pulley. describe the motion of the system when the mass of...

hmmm...i can't seem to figure out what the heck to do here either, anyone have this solved and could give me some help? i have until midnight tonight...its not looking good!

thanks, that's what's probably getting me here. appreciate all the help