Particle motion Definition and 63 Threads

Homework Statement A particle P of mass m moves on the x-axis under the force field with potential energy V=V0(x/b)4, where V0 and b are positive constants. Show that any motion of P consists of a periodic oscillation with centre at the origin. Show further that, when oscillation has amplitude...

I'm not looking for a solution, but rather trying to understand the question. We've been given a series of potentials, U(x), and have been told to find the one-dimensional particle motion in them. For example: U(x) = V(tan^2(cx)), V>0 My initial reaction was just to solve it for x(t)...

I have two parametric equations for the speed of a particle in a plane: \dot{x}(t) = A \left( 1 - cos{\Omega t} \right) \dot{y}(t) = A sin{\Omega t} The period is equal to \Omega. How do I find the wavelength of the motion? The wavelength is just \lambda = \Omega v , where v =...

Two adjacent parallel plate capacitors are used to deflect charged particles as shown in the figure. The relevant dimensions l and h are shown. The lower capacitor plates are grounded while the upper plates are kept at some voltages V1 and V2, which are to be found in this problem given the...

Homework Statement A particle moves along the y-axis with position defined by y(t) = -1/2cos(t^2) + 7/2 t≥ 0 a. find(2) b. in which direction is the particle moving at time t=1.5? c. find the acceleration of the particle at time t=1.5 Is the velocity of the particle increasing at t=1.5...

Homework Statement A particle moving along the x-axis has its velocity described by the function vx = 5t^2 m/s, where t is in s. Its initial position is x0 = 1 m at t0 = 0 s. At t = 1 s, find the position, velocity, and acceleration of the particle. So from that equation... vx = 5t^2, x0 =...

Just need a bit of help with this question and to make sure I am solving it properly. Thanks ______________ A single conservative force acts on a 5.00 kg particle. The equation F_x = (2x + 4) N describes this force, where x is in meters. As the particle moves along the x-axis from x = 1.40 m...

okay...i labeled acceleration 0 -19 as c. a=c v=cx d=0.5cx^2 for 19-23 we have a=-9.8 v=-9.8x c=-4.9x^2 0 -19 we have d=180.5c 19-23 we have -823.5 180.5c-823.5=4700 Am I doing it right in solving for C which is constant acceleration in 0 -19? edit: ok I know now...

how would i do this... A particle moving along the x-axis has its position described by the function x=( 2.00 t^{3}- 5.00 t+ 1.00 )\; {\rm m}, where t is in s. At t= 4.00 , what are the particle's position- i calculated that to be 109m , velocity, and acceleration? i have tried for over an...

A particle travels btwn 2 parallel vertical walls separated by 6.7m. It moves towards the opposing wall at a constant rate of 5.3m/s. It hits the opposite wall at the same height. The acceleration of gravity is 9.8m/s^2. The first question pertaining to this was the speed when it hits the...

I'm given F=kvx. I need to find x(t), k is a positive constant, and the particle passes thru the origin with speed Vo at time t=0. I start by rewriting the formula as such: dv/dt=k*dx/dt*x I am confused now though because I now have dv,dt, and dx. I assume I need to get everything in...

Describe the motion of the particle with position (x,y) as t varies over the given interval. x=2+cost y=3+sint where t is greater than or equal to 0 and less than or equal to 2 pi i've tried to eliminate t and came up with y=3+sin(arccos(x-2)) i don't know if...

Help! projectile particle motion (winnowing) Hi , I have been given an assignment which is to investigate the effectiveness of winnowing-projecting particles into the air stream (horizontal wind) and obtaining separation based upon particle size, shape and/or density.Look up drag coefficents...