Harmonic motion Definition and 1000 Threads

you have a transverse sinusoidal wave on a string, and say there's a point A on that string. does point A oscillate in simple harmonic motion with a frequency that's equal to the frequency of the wave?

Homework Statement I need to find the speed, at time t=0.015s, of a hydraulic valve component undergoing sinusoidal vibrations. The frequency of the vibrations is 25Hz, the amplitude is 2cm and the angular frequency is 157 s-1 Homework Equations The equation for speed of sinusoidal...

Homework Statement Hi I just did a physics lab that involved a Simple Harmonic Motion. What I did was have a mass hung on a spring and then put different masses and find their Period (T) and time for 5 cycles going up and down. RESULTS: Mass (kg) 0.100 0.150 0.200 0.250 0.300...

Homework Statement A ball rolls on a circular track of radius 0.61 m with a constant angular speed of 1.3 rad/s in the counterclockwise direction. A. If the angular position of the ball at t= 0 is \theta= 0, find the x component of the ball's position at the time 2.6 s. Let \theta= 0...

Homework Statement I had a lab today and one of my questions is: "If you displace the end of the spring a little or a lot, in other words if you change the amplitude of the oscillation, the period will be the exact same. 1) How can this happen? 2) What is different about the motion of the...

How do I fit the data given below into the standard form (ignore the part saying to use MathCad): http://screensnapr.com/u/apmqkd.png {{{0.002, 0.726}, {0.022, 0.739}, {0.042, 0.75}, {0.062, 0.759}, {0.082, 0.768}, {0.102, 0.776}, {0.121, 0.785}, {0.141, 0.794}, {0.161, 0.802}...

I need to calculate the frequency of sinusoidal vibrations in simple harmonic motion. The only known values that I have are the acceleration amplitude and the vibration amplitude. Is there a way of calculating the frequency of vibration without knowing the period of the oscillations?

Homework Statement I am confoosed, I think I need to find T first but not sure I am using the right equations, is vibrational amplitude both length & A? A hydraulic valve is subjected to sinusoidal vibrations to test the component under conditions of simple harmonic motion. The first test...

Simple harmonic motion [URGENT I have an exam tomorrow morning] Homework Statement Hi there. I don't know how to solve this problem about simple harmonic motion. It says: A particle of 100 grams is animated with a simple harmonic motion, which starts 20cm from its equilibrium position, where...

Homework Statement Given a rod with length it is hinged thus it can freely rotate. An object is attached to the end of the rod and it is brought all the way vertically up. Then a slight disturbance and it flies down (from equilibrium). How long does it take for it to come down to the minimum...

In an experiment to determine g using simple harmonic motion using a harmonic oscillator, a motion sensor and data logging equipment. I have all the variables but I can't figure out how to get S in the following equation: T^2 = ((4pi^2)/k)M + ((4pi^2)/k)S ...(1) I have a graph of T^2 (the...

Homework Statement Homework Equations x = A cos(wt-phi) The Attempt at a Solution Using the above equation for t, calculating values for t1 at -0.05 and t2 at 0.05, as well as assuming phase angle phi is zero, I get an answer of over 40 seconds. I think I may be using the wrong equation or...

Homework Statement Two positive charges +Q are affixed rigidly to the x-axis one at x = -d and the other at x = +d. A third charge +q of mass mwhich is constrained to move only in the x-axis is displaced from th eorigin by a small distance s << d and then released from rest. Show that q+...

Homework Statement A particle undergoes simple harmonic motion in both the x and y directions simultaneously. Its x and y coordinates are given by x=asin(wt) y=bcos(wt) a. Eliminate t from these equations to show that the path of the particle in the x-y plane is an ellipse. b. Calculate...

Please help me, Question The equation of motion of a mass is given as x = (0.2m) sin (3t). Find the velocity and acceleration of the mass when the object is +5cm from its equilibrium position.

Homework Statement A machaine part moves in a straight line with SHM. At positons 15mm and 20mm from the center of oscillation it has velocitys 2 m/s and 1 m/s respectively. find the amplitude and period of the motion. and the shortest time taken for the part to travel between these 2...

Homework Statement When the electron in a hydrogen atom bound to the nucleus moves a small distance from its equilibrium position, a restoring force at a given radius is given by: k = e^2/4*pi*epsilon*r^2 where r = 0.05 nm may be taken as the radius of the atom (the equilibrium radius of...

Homework Statement A particle is oscillating in simple harmonic motion with period 4.5 ms and amplitude 3.0 cm. At time t = 0, the particle is at the equilibrium position. Calculate, for this particle: a) frequency b) the angular frequency c) the maximum speed d) the maximum acceleration e)...

(apologies for the formatting, mixing LaTeX and regular text looks ugly, but I don't know how to do it otherwise) Homework Statement This is problem 3-7 from Thornton and Marion's Classical Dynamics. A body of uniform cross-sectional area A = 1 cm2 and of mass density \rho=0.8 g/cm3 floats...

Homework Statement A disk of mass M, attached to a spring of constant k fixed to a vertical wall can oscillate freely in a frictionless horizontal plane. A small block of mass m is put on the disk with which there is friction under a coefficient of friction \mu. What is the maximum amplitude...

Hi, Can anyone help me with this question? The potential energy of mass (m=6KG) that is connected to a spring is given by: U(x) = 5x ^ 2 -10x +12 Find the period of the small fluctuations around the equilibrium point (in seconds).

Homework Statement A particle moves with amplitude A and period T (see figure). Express the following in terms of A and T and numberical constants. a) The time at which the phase is pi/2 b) maximum v c) max a d) time at which acceleration is a maximum Homework Equations The...

Homework Statement The motion of a particle is given by x=(6.0m) cos(0.586t +0.72) a) find amplitude b) find period c) find the first time for t>0 when v=0 d) find the max acceleration e) find the phase at time t = 1.38s Homework Equations T = 2pie/omega v = -A omega sin omega*t...

I am having trouble finding out what the equation for damped harmonic motion is. I have been researching around there there are many small variations on the exponents. I am conducting an experiment which has involved the use of the spring constant from Hooke's Law and have used a hypothesis...

Homework Statement Hello, I'm doing a simple pendulum lab where I measure the difference in period as I increase the length of the pendulum. Simple enough. However, I'm having trouble analyzing my graphs of a linear versus a curve fit. Can someone explain why the curved/nonlinear fit is...

Hi all, I recently learned about simple harmonic motion. In all the questions I have done, the springs are massless. I would like to know what happens when the spring has mass. I think that if the spring has mass, then the force in the spring will also have to counteract the weight of the...

Homework Statement A particle undergoes simple harmonic with amplitude of 10cm and frequency 5Hz. If it passes through the equilibrium position (x=0) at time t = 0, calculate the position, velocity and acceleration of the particle at t = 3.5m5 ms. The Attempt at a Solution Given...

Homework Statement [PLAIN]http://img441.imageshack.us/img441/6951/physics.gif As shown in the figure, one end (O) of a uniform rod of length L and mass M is pivoted to a wall. Two horizontal springs with force constants k1 and k2 are attached to the other end (P) of the rod. When the rod is...

Homework Statement A negatively charged particle -q is placed at the center of a uniformly charged ring of radius a having positive charge Q. The particle, confined to move along the x-axis, is moved a small distance x along the axis (x << a) and released. Show that th eparticle oscillates in...

Hello everyone, I'm new here. I'll just post my question- hopefully someone can answer. A 2.00 kg block situated on a rough incline is connected to a spring of negligible mass having a spring constant of 100 n/m. The pulley is frictionless. The block is released from rest when the spring is...

Homework Statement A block is attached to a horizontal spring. On top of this block rests another block. The two-block system slides back and forth in simple harmonic motion on a frictionless horizontal surface. At one extreme end of the oscillation cycle, where the blocks come to a momentary...

Homework Statement A particle executes simple harmonic motion with an amplitude of 2.51cm. At what positive displacement from the midpoint of its motion does its speed equal one half of its max speed? Homework Equations A=2.51 cm x(t) = Acos(wt) v(t) = -Awsin(wt) vmax = |-Aw| The...

Homework Statement A block of unknown mass is attached to a spring of spring constant 6.7N/m and undergoes simple harmonic motion with an amplitude of 7.8 cm. When the mass is halfway between its equilibrium position and its max endpoint, its speed is measured to be 38.5 cm/s. (a) Calculate...

Homework Statement Two identical particles, each having a charge of +q are fixed in space and separated by a distance d. A third particle with charge -Q is free to move and lies initially at rest on the perpendicular bisector of the two fixed charges a distance x from the midpoint between the...

Homework Statement A hanging spring stretches by 35.0cm when an object of mass 450g is hung on it at rest. In this situation we define its position as x=0. The object is pulled down an additional 18.0cm and released from rest to oscillate without friction. What is its position x at a moment...

The total movement of a body oscillating with simple harmonic motion is 200mm. If the frequency of oscillation is 6Hz, determine the maximum velocity and maximum acceleration of the body. I missed the class when this was done so I haven't got the notes. I am not sure if this is right but I...

Homework Statement A 50 g block is hung from a vertical spring. The spring constant is 4 N/m. We let go of the block when the spring is not stretched.What is the maximal stretch of the spring? 2. Equations Fs=k times x The Attempt at a Solution At the maximal stretch, the block is at...

Homework Statement Calculate the total energy of a 2kg mass that is undergoing simple harmonic motion with an amplitude of 1cm and and frequency of 16Hz. Homework Equations ma = -w^2x The Attempt at a Solution The first thing I thought was using the general solution of x(t) = A...

hi i am having trouble grasping this question A block of mass M hangs from a rubber cord. The block is supported so that the cord is not stretched. The unstretched length of the cord is L0, and its mass is m, much less than M. The "spring constant" for the cord is k. The block is released and...

Homework Statement A table moves up and down in SHM of period 1 second. Find the amplitude it can have at which objects on the table just comence to lose contact with the table. The Attempt at a Solution How do I need to solve this problem? I'm only given the period from which I can...

Homework Statement While visiting friends at Cal State Chico, you pay a visit to the Crazy Horse Saloon. This fine establishment features a 200- kg mechanical bucking bull that has a mechanism that makes it move vertically in simple harmonic motion. Whether the “bull” has a rider or not, it...

Homework Statement A 0.20-kilogram mass is sliding on a horizontal, frictionless air track with a speed of 3.0 meters per second when it instantaneously hits and sticks to a 1.3-kilogram mass initially at rest on the track. The 1.3-kilogram mass is connected to one end of a massless spring...

Homework Statement A mass on a spring obeys SHM.Given that the mass is initially at the equilibrium position,has an initial velocity of 2m/s,and a nastural frequency of 2 rad/s,Find A and φ After 13.2 sec what's the displacement of the mass Homework Equations ψ=Αcos(ωt+φ) The Attempt...

Homework Statement A spring with stiffness s is suspended vertically with a mass m attached to it's free end. When the mass comes to rest the spring is found to have been stretched by 0.0981m. The mass is then pulled down a further 0.1m, released from rest and found to execute SHM. We're...

Homework Statement A 100 g ball attached to a spring with spring constant 2.9 oscillates horizontally on a frictionless table. Its velocity is 20 cm/s when x = 4.8 cm. What is the ball's maximum acceleration? which I found to be amax= 180 cm/s^2 What is the ball's position when the...

Homework Statement In this problem we will investigate a particular example of damped harmonic motion. A block of mass m rests on a horizontal table and is attached to a spring of force constant k. The coefficient of friction between the block and the table is mu. For this problem we will...

Homework Statement A particle on a spring moves in simple harmonic motion along the x-axis between turning points at x1 = 100cm and x2 = 140cm. [1] at which of the following positions does the particle have max speed? 100cm, 110cm, 120cm, some other position, or same greatest value...

Homework Statement Please find the question in the attachment,i've attached it because it includes a graph Homework Equations a=-(omega)^2.x T=2.pie/omega Vmax=omega.A The Attempt at a Solution for part b i used the first equation a=-(omega)^2.x to find omega and then substituted...

Homework Statement For my problem, I have two springs that have the same length, but different masses and spring constants. Both springs are secured at one end to a holder and at the other ends are connected to a single mass. My question is how do I find the angular velocity? Since the...

A hanging wire is 1.80 m long. When a 60.0 kg ball is suspended from the wire, the wire stretches 2.00 mm. If the ball is pulled down a small additional distance and released, at what frequency will it vibrate? Assume that the stress on the wire is less than the proportional limit. I have...