Harmonic motion Definition and 1000 Threads

Q: A tuning fork vibrates at a frequency of 264 Hz and the tip of each prong moves 1.66 mm to either side of center. Calculate the maximum speed of the tip of a prong. So far I've found that Vmax = omega*A, but I don't know how to find A. Am I going in the wrong direction? Or is there a way...

I have been looking at this problem forever. It is probably easy, but I am making it harder. States: In preparation for shooting a ball in a pinball machine, a spring (k=675 N/m) is compressed by 0.0650m relative to its unstrained length. The ball ( m=0.0585kg) is at rest against the spring at...

A "seconds" pendulum is one that goes through its equilibrium position once each second. (The period of the pendulum is 2.000 s.) The length of a seconds pendulum is 0.9927 m at Tokyo and 0.9942 m at Cambridge, England. What is the ratio of the free-fall accelerations at these two locations...

A block of mass 2kg oscillates on the end of a spring in SHM with a period of 20ms. The position of the block is given by: x=(1.0cm)cos(wt+2pi). Another block of mass 4kg slides toward the oscillating block with velocity of 6m/s. The two blocks undergo a completely inelatic collision at time...

http://sweb.uky.edu/~lsadam0/problem2.JPG Im kinda lost on this problem. Shouldnt the Y motion be described as A*sin(wt)? In there equation we are considering when x=0, so the kx term is removed, but where is this third term coming from, and then should Y motion just be described as...

I have this problem: An object is undergoing simple harmonic motion with period 0.330 s and amplitude 5.95 cm. At t=0 the object is instantaneously at rest at x= 5.95 cm. i need to find : the time it takes the object to go from x= 5.95 cm to x= −1.49 cm. I have tried using x = A cos(wt +...

An air-track glider is attached to a spring. The glider is pulled to the right and released from rest at t = 0 s . It then oscillates with a period of 2.40 s and a maximum speed of 46.0 cm/s. What is the amplitude of the oscillation? i tryed solving for t by using the equation x(t) = A cos...

A 2 kg mass is attached to a spring aand placed on a horizontal, smooth surface. A force of 20N is required to hold the mass at reast when it is pulled .200m from the equilibrium position. The mass is released and undergoes simple harmoic motion. a) what is the force constant? b) frequency...

Urgent! Damped Simple Harmonic Oscillation The thread topic says 2 masses, but there is actually only one! I'm not asking for the complete solution for this problem; I simply just don't know WHERE to start... The question is as follows: In Figure 15-15, a damped simple harmonic oscillator...

a ball is dropped from a heright of 4m and makes a perfectly elastic collision with the ground. Assuming that no energy is lost due to air resistance, a) show that the motion is periodic b) determine the period of the motion c) is the motion simple harmonic? a) I know that periodic...

Harmonic motion is when an object pretty much goes back and forth, right? Also, what does the word 'strobe' mean? I once heard a member here say that if our eyes worked like a camera and took a picture 60 times a second that a light that flashed 61 times per second would appear to strobe at...

I am going brain dead on a rather simple question. Appreciate some help. A mass of 4.5 KG attatched to a horizontal spring of constan 75 KN/m is compressed 0.4 m from Equilibirium and then a loose mass of 2.5 KG is placed in front of it . IF the mass is now released: 1. at what point...

Hello Here's a situation I would like to discuss... Suppose we have an ideal parallel plate capacitor which is filled with air (or vacuum) with permittivity = 1. Now if a dielectric slab of width equal to the space (d) between the plates is inserted into the space between the plates, it...

Ok the system which is doing the oscillations is described here http://scienceworld.wolfram.com/physics/SpringsTwoSpringsandaMass.html however, that differential equation over there gives the equation of motion. What i need is the differential equation for the position of the mass ALso...

i need help... A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. 1.0 J of work is required to compress the spring by 0.15 m. If the mass is released from rest with the spring compressed, it experiences a maximum...

I have my solution and my doubt in the attachment that followed.

This is a little question that I am not sure how to do because of the way gravity works with vertical springs. A 3 lb block rests on top of a 5 lb block which is attacked to a k=1000 N/m spring force spring following hooke's law. The blocks are released and allowed to reach equilibrium (.08...

A 1.00-kg object is attached to a horizontal spring. The spring is initially stretched by 0.100 m, and the object is released from rest there. It proceeds to move without friction. The next time the speed of the object is zero is 0.500 s later. What is the maximum speed of the object? I...

A particle moving along the x-axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 1.70 cm and the frequency is 2.00 Hz. Determine the total distance traveled between t = 0 and t = 0.75 s. how would...

While riding behind a car traveling at 3.00 m/s, you notice that one of the car's tires has a small hemispherical bump on it's rim. If the radii of the car's tires are .300 m, what is the bump's period of oscillation? Can anyone tell me where to start with this? I'm actually not even sure...

An object attached to a spring (k = 30 N/m) has a velocity of 2.5 m/s when it is .55 m from equilibrium, and has a period of 2.45 s. After doing other parts I found the mass to be 4.561 kg, the total energy of the system to be 18.79 J, the amplitude to be 1.12 m, and the maximum speed to be...

1. A particle mass attached to one end of a light spring is executing SHM on a smooth horizontal table. If another identical particle is attached to the other end of the spring, what is the period of oscillation? I don't know how to figure this problem out...I used to deal with a spring fixed...

A mass is on a spring is pulled down and released.Show thatit performs simple harmonic motion. as the mass is pulled down and released restoring force pulls it upwards but as it reaches on the top extreme the gravity pulls it down n continuous to oscillate.but how does it prove that motion is...

We did an experiment with a vertical spring-mass system. Here is an example of data collected: Mass------------T (period) 200 g-----------.3 s 400g------------.5 s My question is why does the period increase as the mass increases? I know that the amp. and T are independent of each...

Can you offer some help on the following question? I've been trying different things for a while but can't get the right answer. Thanks! At time t = 0, consider a 1/2 wavelength long section of the rope which is carrying the wave y = 0.06 cos(2.1 t - 2.4 x) between two points which have zero...

In a block-spring system with a block of mass m and a spring of spring constant k, prove that the angular velocity ω of the block = (k/m)^(1/2). I can prove this easily in the following manner: F = ma Newton's law F = -kx Hooke's law a = -ω^2x ma = -kx = -mω^2x k = mω^2 ω^2 = (k/m)...

Why is the formula for period of simple harmonic motion independent of amplitude?

i have a problem i am working on and i am just not sure how to do it i was looking for some help i will state the problem then explain the way i am trying to do it. thanks for any help in advance. A 0.27 kg mass is suspended on a spring that stretches a distance of 4.9 cm. The mass is then...

i am finding damped SHM difficult to understand can anyone give sugestion as to what coul .do

A block rides on a piston that is moving vertically with simple harmonic motion. if the shm has period 1 s at what amplitude of maotion will the block and piston seperate? T= 1 / f 1= 1 / f x= x cos (wt+0) x= x cos( 2 * pi * 1 + 0) where can i go from here?

A diving board oscillates with simple harmonic motion of frequency 3.6 cycles per second. What is the maximum amplitude with which the end of the board can vibrate in order that a pebble placed there will not lose contact with the board during the oscillation?

I am confused by the following problem. Any help / hints would be greatly appreciated! I understand that the velocity equation is the derivative of the position function... i just don't understand how to derive these first / last equations. :bugeye: THANKS! The initial position and...

A mass m is connected to two springs, with spring constants k1 and k2. (m connected to k2, which is connected to k1 which is connected to a wall horizontally). Show that the period for the configuration is given by T = 2 \pi \sqrt{m ( k^{-1}_1 + k^{-1}_2)} Well I know .5kA^2 = .5mv^2...

A spring with spring constant 190 N/m vibrates with an amplitude of 8.0 cm when 0.380 kg hangs from it. What is the equation describing this motion as a function of time? Assume the mass passes through the equilibrium point, toward positive x (upward), at t = 0.100 s. x=A*cos(omega*t +...

a 2-kg ball is supended from a spring. when disturbed in a vertical direction, the ball moves up and down in simple harmonic motion with a period of 0.25s. a. what is the upward force exerted on the ball by the spring when the ball is at the midpoint of its up-and-down path? b. how much...

Ok I've been trying this problem : ---A 21.0kg block at rest on a horizontal frictionless table is connected to the wall via a spring with a spring constant k=14.0N/m. A 2.10×10-2kg bullet traveling with a speed of 530m/s embeds itself in the block. What is the amplitude of the resulting...

What seems to be a very simple question is confusing me. ----At t = 0, a 790g mass at rest on the end of a horizontal spring (k = 101N/m) is struck by a hammer, which gives it an initial speed of 2.66m/s. Determine the amplitude.----- I know that the amplitude is the 'maximum excursion...

1. A 4.0kg block is suspended from a spring with force constant of 500N/m. A 50g bullet is fired into the block from directly below with a speed of 150m/s and is imbedded in the bloack. (a) Find the amplitude of the resulting simple harmonic motion. (b) What fraction of the original kinetic...

hello... I was wondering if someone can help me fully understand the equations of SHM: x(t) = A cos (wt + theata) v(t) = -A sin (wt + theata) a(t) = -A cos (wt + theata) you see... i know that A is the amplitude and that theata is the phase shift. I know that w is agular...

1a)A simple pendulum is 4.35 m long. What is the period of simple harmonic motion for this pendulum if it is hanging in an elevator that is accelerating upward at 5.90 m/s2? b)What is the period of simple harmonic motion for this pendulum if it is placed in a truck that is accelerating...

To start, I already know the answer.. but I can't seem to get it the "hard" way, i.e. through solving the 2nd order ODE. Redundant, but it's a block on water, and it's oscillating after a mass is removed from it. There's an initial displacement, and no \begin{align*} y(0) &= -0.025m \\...

I have a physics problem that I'm stuck on! Its a position vs time graph of harmonic motion of a horizontal mass/spring system. The question is "where is the acceleration greater than 0?". The graph starts at point A (at the origin), goes to B (above the x axis), down to C (on the x axis), down...

A block rides on a piston that is moving verticallly with simple harmonic motion. A) If the SHM has a period of 4.9 seconds, at what amplitude of motion will the block and piston separate? B) If the piston has an amplitude of 4.0 cm, what is the maximum frequency for which the block and piston...

:confused: My teacher gave us lots of exercise without answer and help i feel so frustrated to complete all those exercise but i can't answer any of them. i search in the book and i can't find anyway suitable way for that question. this question is very simple but i can't get a away to answer...

A cylindrical wooden log is loaded with lead at one end so it floats vertically in water. The submerged part is 2.56 m (called L). I'm supposed to show the oscillation is simple harmonic. Can someone point me in the right direction? For some reason I'm thinking gravity and density play a big...

Figure 1 shows a mass m in equilibrium between two stretched helical springs on a smooth horizontal surface. k_1 and k_2 are the force constants of the springs and e_1 , e_2 are their respective equilibrium extensions. The mass m is displaced X to one side ( X is smaller than e_1 and e_2 )...

I have a short question: an object undergoes simple harmonic motion with a period T and amplitude A. How long does it take the object to travel from x = A to x = A/2 ? the answer is T/6, but I am not sure how to get to that, Do I get it from x = Acos(2pi/T xt)? help :cry:

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...

i'm stuck on two problems deal wih SHM 1)A mass of .5 kg is attached to a vertical spring and slowly lowered to its equilibrium position; this stretches the spring by 10 cm. Then the mass is placed below in the position whre the stretch of the spring is 15 cm, and released. calculate the...

When a mass m, hanging from a string with spring constant k, is set into up-and-down simple harmonic motion, it has a period of vibration T, which is given by the equation T=2*pi*sqrt(m/k). The amount of elastic potential energy PE stored in the spring at any given instant is dependent on its...