Shm Definition and 489 Threads

Homework Statement How can I determine the phase constant of the these graphs? I am kind of confused about phase constant and its physical meaning, so if someone could explain it to me, I would be very grateful. Homework Equations The Attempt at a Solution

Homework Statement A pendulum's angle is given by (.10 rad)cos(5t + pi) where t is in sec. What is the initial angle? Homework Equations The Attempt at a Solution Do I plug in t= 0 to get this angle, or is the phase constant this angle? I read that the phase constant specifies...

how can you work out the amplitude knowing only displacement, velocity and acceleration? I have been able to work out angular velocity, frequency and period, but I can't work out amplitude without knowing either the spring constant, the mass or the phase angle.

This problem states that a mass m is attatched to a spring with spring constant k and is pulled aside a distance A from its equilibrium position x=0. a) what is the speed as it passes the position x=0? I know that at A and -A v=0 and at x=0 v=max, but I can't remember how to get an equation...

confusing title i suspect but didnt know what else to call it. so I'm considering a spring and mass with the displacement of the mass being x and the stiffness of the spring being k force on the spring = -k*x =m*a or rearranged etc d2x/dt2 + (k/m)*x = 0 .........[1] then i assume...

Hey guys, this is my first post, I was hoping you all could offer some advice. I'm facing a problem involving free undamped SHM. Everything is working out well so far but I ran into a problem when trying to find t. Here's what I have: x(t) = -2/3cos10t + 1/2sin10t Now, if I want to find...

Homework Statement Two blocks of mass M2 and M1 (M2>M1) are connected by a spring with force constant k and are free to slide on a frictionless table. They are pulled apart and then released from rest. In terms of M1, M2, and k, what would the period of oscillation be? Homework...

We want to support a thin hoop by a horizontal nail and have the hoop make one complete small-angle oscillation each 2.0s . What must the hoop's radius be (in meters) ? and An object is undergoing SHM with period 0.260 s and amplitude 5.55 cm. At t=0 the object is instantaneously at...

Homework Statement I have been asked to show that a particle of mass m executing simple harmonic motion with frequency f, has a potential energy V(x) = 2\pi^{2}f^{2}mx^{2} Homework Equations The Attempt at a Solution I know that V(x) = 1/2m\omega^{2}x^{2} and that...

I have been doing quite a few SHM problems, and I just have a few questions in general. A lot of questions evolved from one particular problem type: A mass attached to the end of a vertical spring of spring constant k. My questions: 1. How can we prove that we can use the equation...

[SOLVED] SHM: atom in a lattice [SIZE="3"]Homework Statement From Advanced Physics by Adams and Allday. Spread 3.34, Q 5. An atom of mass 5 \times 10^{-26} kg is in a cubic lattice with all bonds between adjacent pairs of atoms having a spring constant about 100 N/m. Estimate the natural...

Homework Statement This is from Advanced Physics by Adams and Allday. Spread 3.34, Q 3. A friction-free trolley of mass 2 kg is tethered to rigid supports at each end by two identical springs of spring constant 20 N/m each. The springs obey Hooke's law and remain in tension as the trolley...

SHM - Simple Harmonic Motion Question Homework Statement Two particles oscillate in SHM along a common straight-line segment of length A. Each particle has a period of 1.5s, but they differ in phase by π/6 rad. a. How far apart are they 9in terms of A) 0.50s after the lagging particle...

My teacher told me that in SHM and wave motion phase refers to the argument in the corresponding function. then she said that if there is a difference of 2pi in the arguments then the phases are equal (sin ,cos function) but isn't it wrong , i know that their effect in terms of velocity , acc...

what is the difference between forced vibration and combined SHM. since both include motion of particle under the influence of two periodic force

1. There is a spring connected to a mass on a frictionless horizontal surface. Another mass smaller in size is placed ontop of the bigger mass. It asks find the amplitude so that the smaller mass falls off. Coeffient of friction is 0.4 between the two masses. K is given as 200 N/m 2...

1. The mass of the deuterium molecule D2 is twice the mass of Hydrogen molecule H2. If the vibrational frequency of H2 is 1.35x10^14 Hz, what is the vibrational frequency of D2, assuming the "spring constant" of attracting forces is the same for two species? Answer in unit of Hz. Homework...

1. A 41g object is attached to a horizontal spring with a spring constant of 15N/m and released from rest with an amplitude of 22.4cm. What is the velocity of the object when it is halfway to the equilibrium position if the surface is frictionless? Answer in units of m/s. Homework Equations...

Homework Statement At which point does the mass on a vibrating spring have its largest velocity? Smallest velocity? Homework Equations Hooke's Law? See below. The Attempt at a Solution I know the mass on a vibrating spring has the greatest acceleration when the greatest amount of force is...

Hi there, I just want to confirm my answer: A mass "M" is set oscillating on a spring of mass "m_{s}". If the total mass of the system is given by: M+\frac{m_{s}}{3} Derive an expression for m_{s}. ------------------------------------ Well first off: U=\frac{1}{2}kx^{2}...

Homework Statement i have a bead on a wire shaped by y=cx^2 where y is the height - use conservation of energy to show that the system unfergoes simple harmonic motion. - no friction! Homework Equations I think to prove its SHM i need to get an equation in the form acc= - w^2 x...

The 3.00 kg cube has edge lengths d = 6.30 cm and is mounted on an axle through its center. A spring (k = 950 N/m) connects the cube's upper corner to a rigid wall. Initially the spring is at its rest length. If the cube is rotated 3.00° and released, what is the period of the resulting SHM...

Homework Statement Adjacent antinodes of a standing wave on a string are a distance 15.0cm apart. A particle at an antinode oscillates in simple harmonic motion with amplitude 0.850cm and period 0.0750s. The string lies along the +x - axis and is fixed at x=0. At time t=0, all points on the...

The graph shows the position x of an oscillating object as a function of time t. The equation of the graph is x(t)=Acos(wt + \phi) where A is the amplitude, w is the angular frequency, and \phi is a phase constant. The quantities M,N, and T are measurements to be used in your answers. See...

Homework Statement A 23.0 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= 0.350 m, then let's go. The mass undergoes simple harmonic motion...

Suppose a mass is oscillating attached to a spring in a horizontal surface with friction. Friction sooner or later will stop the oscillation. Does exists any possibility that the oscillating object stops at equilibrium position of that SHM, or it will stop elsewhere but never in the equilibrium...

Homework Statement A 250 g block is resting on a frictionless horizontal surface. The block is attached to a spring. The mass-spring system is compressed by a 2.5 N force and then released from rest. (a) The resulting oscillation has a 1.0 s period. What is the spring constant? (b) What is...

Question about phase shift SHM The displacement of an object is given by x(t)=x_mcos(\omega t+\phi) If the inital displacement is 0 and the initial v is in the negative x direction, then the phase constant must be ___rads I know that if x=o then the cosine of the phase must be 0...

Spring with k=100N/m attached to the ceiling. Someone attaches mass of 1kg to the spring. After the spring reaches equilibrium another mass of 50g is dropped from a height of 2m above the 1st mass. After the collision of m1 and m2 the masses merge and continue to move. a) Find extension of...

Homework Statement There is a ship of mass M floating on a river. The upper portion of the ship has a uniform cross-sectional area A and the density of water is d. Now the ship is displaced a further depth y into the water and released. What is the resultant force acting on the ship when it is...

Homework Statement Hi there.this is one of those proof dealies that i think i nearly have right but i was wondering if anyone could point out if i have made too many assumptions or anything thanks. Show that if a bar magnet is suspended in a uniform magnetic field, of strength H, and is...

This is a question I already solved but was curious about something. There are two positive point charges of the same maginitude on the same axis. They are some distance appart with third point positive charge placed slightly off the midpoint between the two original charges. The question is...

Homework Statement A wedge of mass M is placed on a rough surface with a mass m attached to a spring placed rigidly on the wedge. The surface b/w the wedge and the mass m is smooth and the surface between the wegde and the ground is sufficiently rough to keep the wedge from moving. The angle...

Homework Statement (a) When the displacement in SHM is one-half the amplitude xm, what fraction of the total energy is kinetic energy? (b) What fraction is potential energy? (c) At what displacement, in terms of the amplitude, is the energy of the system half kinetic energy and half...

Here's the actual question that started my wondering about the correct representation of a shm function: Homework Statement A 0.500 kg mass attached to a spring with a force constant of 8.00 N/m vibrates in simple harmonic motion with an amplitude of 10.0 cm. Calculate (a) the maximum value...

Homework Statement Astronauts in space cannot weigh themselves by standing on a bathroom scale. Instead, they determine their mass by oscillating on a large spring. Suppose an astronaut attaches one end of a large spring to her belt and the other end to a hook on the wall of the space...

Hi, A child on a swing swings with a time period of 2.5s and an amplitude of 2m. What is the max. kinetic energy of the oscillation? I'm not sure how to work this out without her mass. Her max speed is 2.51m/s but I don't know how to do this. BTW this is all the information that is given Any...

need help -- about Coulomb's Law and SHM Two positive charges +Q are held fixed a distance d apart. A particle of negative chage -q and mass m is placed midway between them, then is given a small displacement perpendicular to the line joining them and released. Show that the particle describes...

A boat(1500kg) is on a lake exibiting SHM with an amp of 20cm bobbing on the waves. The boat takes 3.5s to make one complete up and down cycle. When the boat is at its highest point it is at the same level as the dock. You will only board the boat if it is within 10cm of the dock. How much...

question 1) If a simple harmonic oscillation is described by the function x = A sin (wt + phi) would phi be the opposite of what it would be for a SHM described by the function x = A cos (wt + phi) I.e if the graph for for x = A sin (wt + phi) , when t = 0, x = +A. would phi be equal to pi...

Say you had a spring hanging vertically-- spring constant k. A mass m is attached to it and it's at its equilibrium position, b. Say, I decide to extend it (downward) such that its total extension distance from how it would be normally (without the mass) is x. Say I take the upward direction as...

Hi guys, I'm stuck at this 2 questions for a while. :confused: 1. A mass suspended from a vertical spring is displaced vertically downwards by a distance A and released. It executes simple harmonic motion about its equilibrium position O. Given that time taken for the mass to move through...

Hi everyone, I'm given a graph of the object's displacement and frequency and the object is executing SHM. The question asks what would the graph look like when the mass of the object is increased to lower the amplitude of the oscillation. Personally I think that the natural frequency...

I've come across the following problem: Two otherwise isolated, equal masses m are at rest and connected by a spring with constant k. An impulse is applied to one of the masses along the direction of the spring connecting them. What happens? Qualitatively, I think that the force will both...

a point mass is constrained to move in a horizontal plane and is attached to four fixed pegs by 4 light springs. The four pegs are arranged at the corners of a square of side root2*a. Each spring has a natural length of a/2 and a spring constant a. If the mass is displaced towards one corner...

Hi, I'll get right away to the point. I'm determining damping coefficients from motion sensor traces of a damped oscillator. I have gone through the standard procedure of taking natural logs of the sine wave peaks and drawing graphs etc, however what puzzles me is that the SIGN of the damping...

Hi, I've got a problem to solve, but I'm really new to this topic and I'm having a bit of trouble knowing where to start. Here's the question I'm working on: A mass = 1.5 kg attached to a spring with k=8 N/m on a horizontal surface with friction force -b(dx/dt) where b = -230g/s The...

Hey i came across this physics problem in a uni textbook however i am stuck, Q: A 70.0kg circus performer is fired from a cannon that is elevated at an angle of 40.0' (degrees) above the horizontal. The cannon uses strong elastic bands to propel the performer, much in the same way that a...

When middle C on a piano (frequency = 262Hz) is struck, the vibration of the piano string loses half its energy after 4s. (i) What is the decay time for the energy? (ii) What is the Q-factor for this piano wire? (iii) What is the fractional energy loss per cycle? SHM has been going great...

i have a few problems that i was struggling with. Projectile motion: An electron is fired in an electric field E=-720j. Its launched with a velocity of 9550 m/s. if you want the x distance it travels to be 1.27mm, what are the two values of theta that will work? how long does it take...