Shm Definition and 489 Threads

A block of mass 0.5kg moving on a horizontal frictionless surface at 2.0 m/s collides with and sticks to a massless pan attached to the end of a horizontal ideal spring whose spring constan is 32 N/m. a) Determine the function for x(t), the displacement from equilibrium position as a function...

Using Newton's 2nd Law for a damped oscillator: ma = -kx - \alpha x which is a second order linear DE. To solve it we use the trial integrating factor e^{\lambda x} [/tex] to come to the root equation mx^2 + \alpha x + k = 0 where we can find our two solutions to be r_{1} \ and...

Hi there I'm having a little trouble doing problems with SHM kinematics. I think its because I have yet to find a good method of solving them. I'll post one and show what I can do. Them I hope somone can help me find a good method to solving it.A 1 kg block oscillates on a spring with k= 20...

Right, I'm about to open a big can of worms: I'm investigating eddy current damping of Simple Harmonic motion and I'm going to be investigating how the damping coefficient varies with various factors including the distance of the magnetic field (irrelevant, just informing). A "magnetic tunnel"...

Hey, I have a debate that needs to be resolved. Here is the diagram of the problem and I will describe below: It is essentially a string that has a spring attached to the bottom with a weight of mass m attached to the spring. This is system is pulled back and released. Is it possible that...

the acceleration of free fall of a satellite has a finite value so that an object at this position certainly has weight. making reference to the perception of weight by an observer, explain how astronauts inside this satellite arppear to be weightless. i thought weightlessness was when the...

Hi guys, hoping someone can help with this manipulation. I need to transform this: \frac{-\hbar^2}{2m}\frac{d^2}{dx^2}u(x) + \frac{1}{2}m\omega^2 x^2 u(x) = Eu(x) Into its dimensionless form: \frac{d^2}{dy^2}u(y) + (2\epsilon - y^2)u(y) = 0 I have the following info: E =...

I am working on a problem that has a few angles of approach. I am hoping to get at least that right before I waste too much more time. The problem is a slender, uniform, rigid rod is placed to pivot on its center, so that the rotation is taking place at the ends of the rod. then a spring...

Two postitive charges +Q are held at fixed distance d from each other. A particle of charge -q is placed at the mid point between them and given a small displacement y, on the line perpendicular to the line joining them and released. Show that hte particle described SHM of period...

A small thin disk of radius r and mass m is attached rigidly to the face of a second thin disk of radius R and mass M. The centre of the small disk is located at the edge of the large disk. The large disk is mounted on its centre of a frictionless axle. the assembly is rotated through a small...

Hi, I need advice as to whether or not I solved this question correctly. I would really appreciate the feedback, etc... I really need to know if I did this right QA: A 2kg object is attached to a spring and placed on a horizontal smooth surface. A horizontal force of 20N is required to hold...

A mass on a spring with a constant of 3.76 N/m vibrates, with its position given by the equation x = (4.55 cm) cos(3.70t rad/s). During the first cycle, for 0<t<1.70 s, when is the potential energy of the system changing most rapidly into kinetic energy? There are two solutions, enter both with...

A mass on a spring with a constant of 3.76 N/m vibrates, with its position given by the equation x = (4.55 cm) cos(3.70t rad/s). During the first cycle, for 0<t<1.70 s, when is the potential energy of the system changing most rapidly into kinetic energy? There are two solutions, enter both with...

Hello, I took a test on Simple Harmonic Motion today and the very last problem looked something like this: A simple harmonic oscillator has a total energy of E. (a) Detemine the kinetic and potential energies when the displacement is one half the amplitude. (b) For what value of the...

Hi all, I have been studying for my physics final which is tomorrow for the past 9 hours..my brain hurts...sorry if this question is dumb I keep getting f=freq T=period mixed what is the difference between the two again in the physical sense (i.e. would the motion of pistons in a...

Q: The prong of a tuning fork moves back and forth when it is set into vibration. The distance the prong moves between its extreme positions is 2.29 mm. If the frequency of the tuning fork is 440.2 Hz, what are the maximum velocity and the maximum acceleration of the prong? Assume SHM. I...

A 29.0 kg block at rest on a horizontal frictionless air track is connected to the wall via a spring. The equilibrium position of the mass is defined to be at x=0. Somebody pushes the mass to the position x=.350 m, then let's go. The mass undergoes simple harmonic motion with a period of 3.50 s...

Well I am working on a lab report for 12th grade physics and my teacher has decided to throw a cuve ball at us. The lab is designed to determine the value of the force constant of a spring by measuring the number of oscillations a certain weight makes when on the end of the spring. To find k was...

what happens to the maximum velocity if you double both Amplitude and period of a SHM? the equation is x(t) = A cos (wt + f) v(t) = -A w sin (wt + f) f is phase constant, w = angular velocity i know if i double A and T, the first part of the v(t) equation will be like: -2A *...

I am wondering if anyone knows the history of the mathematical study of simple harmonic motion. Who first set up the equation: \frac{d^2X(t)}{dt^2} +\frac{k}{m} X(t) = 0 Was it Newton? Hooke? Did they know about uniqueness of solutions? The trig functions occupy such a cetral role...

Hey guys, bit stuck here with this problem I have a differential equation for SHM here in the form x= A cos 10.7t + B sin 10.7t I need to find the constants of integration. w = 10.7 as above I don't have anything other than experimental data Time Second Distance / m 0...

Hi guys, I am a bit stuck at the moment on this experiment I am doing. I am trying to model an oscillating spring mass which is being damped using air resistance and a circle piece of polystyrene. The equation of this will be in the form d^2y/dt^2 + Rdy/dx + ky/x = 0 I...

The intensity of a spherical wave is 21 W/m^2 at a distance 16 m away from a constantly emitting source. What will it be 3 m away? Using the formula I_2/I_1 = (r_1)^2/(r_2)^2 I got 588 W/m^2 0r 600. Correct? If the length of pendulum with T = 10 s were halved, what would be its...

A block of mass m is attached to a horizontal spring with constant k. resting on top of this block is another block of mass m. a coefficient of static friction mu exists between the two blocks. now suppose the spring is initially at equilibrium length, and someone gives it a push. the block...

I am having a problem with this: One end of a light spring with force constant 100N/m is attached to a vertical wall. A light string is tied to the other end of the horizontal spring. The string changes from horizontal to vertical as it passes over a solid pulley of diameter 0.04m. The pulley...

Say a mass is suspended vertically from a spring and is in equilibrium. What is its potential energy? I think its zero because while it has gravitational potential that would allow it to do work downwards, it also has potential energy from the spring upwards. So do these cancel out? It seems...

Dear friends this question is really annoying me .please. help me in understanding this question and the concepts involved in it. Two pendulums of equal length of bob of mass m are connected by a spring of spring constant k.find the frequency of oscillations.there are two conditions also...

I have no idea why I can not get this question, but here it is: A brick is resting atop a piston that is moving vertically with simple harmonic motion of period 1.19 s. At what amplitude will the brick separate from the piston? I know that once the acceleration is greater than that of...

A brick is resting atop a piston that is moving vertically with simple harmonic motion of period 1.08 s. At what amplitude will the brick separate from the piston? I came across this question reviewing for my test next Thursday. Anyway, I can calculate the angular frequency using the...

Can someone help me with this please? I think this moves with SHM (of a car), but I don't really know the principles of it very well. Thanks

Hey there. :smile: As part of our quantum assignment we;ve to also look at a simple classical oscillator (it's part b to a question about the one dimensional harmonic oscillator). Problem is, I can hardly remember a thing that isn't to do wih quantum! So any help here would be...

Why is it that a simple pendulum only shows SHM at small angles close to the equilibrium position?

My textbook says the an object undergoing undamped, under-driven harmonic motion (http://romano.physics.wisc.edu/lab/manual/img279.gif) does NOT have its maxima at the points where the displacement curve makes contact with the exponential envelope curve. How can this be the case?? Doesn't...

I saw this in an old, junior-level, classical mechanics textbook and haven't been able to figure it out. A particle undergoing simple harmonic motion has a velocity: \frac{dx_1}{dt} when the displacement is: x_1 and a velocity \frac{dx_2}{dt} when the displacement is...

A 35.0 kg block at rest on a horizontal frictionless table is connected to the wall via a spring with a spring constant k=25.0 N/m. A 3.60×10-2 kg bullet traveling with a speed of 490 m/s embeds itself in the block. What is the amplitude of the resulting simple harmonic motion? Okay. So If...

Hi, I have a hard time trying to understand the Centre of Mass as well as the graphing for SHM. Please help. Thanks heaps.

You have 2 pendulums attached to the same piece of horizontal string. One pendulum has a large mass, the other is small. They are both of the same length. The large pendulum is released from an amplitude and so the small pendulum resonates. The rate of exponential decay of the large...

A particle vibrates in SHM with the period of 2.4 s and the amplitude of .1 m. a) How long is required for the particle to move from one end of its path to the nearest point .05 m from the equilibrium position? b) What is the particle's speed at this position? for a) this is what I did...

SHM - easy question! Hi i know that this is probably an extremely easy and obvious question, but we are looking at pendulums in A2 physics and i was just wondering if there are any other factors affecting the period of a pendulum other than these: - Length of string - Mass of pendulum -...