Harmonic motion Definition and 1000 Threads

Homework Statement Okay, so we've got a solid cylinder attached to a horizontal massless spring that rolls without slipping along a horizontal surface. The system is released from rest with the spring stretched past the equilibrium point. (The first two parts of this problem ask for...

I am having a hard time solving for k in the equation T = 2 x pi sq. rt. (m/k) I know this is simple algebra but its keeping me from solving this.

Homework Statement A 2.00-kg object is hanging from the end of a vertical spring. The spring constant is 50.0 N/m. The object is pulled 0.200m downward and released from rest. Complete the table below by calculating the translational kinetic energy, the gravitational potential energy, the...

Homework Statement A 2.2 kg ball is attached to a 0.638 m long string and is pulled an angle Θ from the verticle such that the center of mass of the ball is raised a distance h=0.22 m from its lowest position. The ball is released and allowed to swing down. a) What is the angular frequency of...

Homework Statement What is the connection between simple harmonic motion and pendulum motion? Homework Equations Harmonic motion period=T=2piroot(m/k) Pendulum motion period=T=2piroot(L/g) The Attempt at a Solution Conservation of momentum?? Thanks for any help!

A 1.2 kg mass attached to a spring oscillates with an amplitude of 5.1 cm and a frequency of 2.1 Hz. What is its energy of motion? I just have to use KE=1/2mv^2 right? do I have to involve the amplitude?

Homework Statement A 0.25-kg mass is attached to the end of a spring that is attached horizontally to a wall. When the mass is displaced 8.5 cm and then released, it undergoes SHM. The force constant of the spring is 1.4 3 102 N/m. The amplitude remains constant. (a) How far does the mass...

Homework Statement I need to find the phase difference between two pendulums. My problem is that I don;t seem to have enough information to calculate the phase for the second pendulum (I have already calculated the phase for the first). The pendulum is 0.35m long, and is at 0.00rad at...

There is a horizontal spring-mass system lie on top of a frictionless table. let m=mass k=spring constant x=displacement from equilibrium position A=amplitude T=period By using conventional way, time taken to complete a quarter of cycle=T/4=(∏/2)√(m/k) consider another way of doing...

Hi, I have this simple harmonic motion lab, it can't be a simple pendulum lab where you manipulate mass or length of string, it can't be a spring with hanging weight either, I really have no idea what to do, is there any other way to demonstrate simple harmonic motion? thanks.

Homework Statement A mass of 0.3kg is suspended from a spring of stiffness 200Nm-1. If the mass is displaced by 10mm from its equilibrium position and released, for resulting vibration, calculate: a) the maximum velocity of the mass during the vibration Homework Equations Angular...

*URGENT*Damped Harmonic Motion (Differential Equations) A damped harmonic oscillator satisfies the following equation: d2x/dt2 = − 5x − 2dx/dt (a) By assuming a trial function of the form x = A e^qt, determine the solution of this equation "from scratch." Express your final answer as a real...

Homework Statement Mass is attached to a spring and set into a vibratory motion. m=0.10 kg f=2.5 Hz Homework Equations f=1/2pie{sqrt(k/m)} The Attempt at a Solution Trying to find k (force constant) I tried using the equation above but I can't get the right answer...

Homework Statement Given that a spring with a ball of mass m attached to it is oscillating in between x=A and x=-A where x=0 is the equilibrium position. Will the equilibrium position change when the the mass of the ball is doubled? 2. The attempt at a solution I think that the...

Homework Statement A mass of 0.3kg is suspended from a spring of stiffness 200Nm-1. If the mass is displaced by 10mm from its equilibrium position and released, for resulting vibration, calculate: a) the frequency of vibration b) the maximum velocity of the mass during the vibration c) the...

Homework Statement Set up the equations of motion for the system shown in Fig. 4.16. The relaxed lengths of the two springs are l1, l2 . Separate the problem into two problems, one involving the motion of the center of mass, and the other involving the "internal motion" described by the two...

Homework Statement A bolt of mass 2.10×10^-2 kg moves with SHM that has an amplitude of 0.245 m and a period of 1.495 s. The displacement of the bolt is + 0.245 m when t=0. A.) Find the displacement of the bolt at time t=0.500s Homework Equations The Attempt at a Solution Part...

x = xo + Asin(ωt + ∅) I know all of the values, except for ∅. But i don't know how to get the value for ∅ The attempt at a solution: 0.349 = 0.367 + 0.413Sin(8.5 * 0.8938 + ∅) -0.018 = 0.413Sin(7.5973 + ∅) -0.04358 = Sin(7.5973 + ∅) From here on, i am confused, I tried using the...

Homework Statement A bungee jumper undergoes simple harmonic motion with amplitude 6.9 m and frequency 0.115 Hz. Assume the bungee jumper follows the simple harmonic motion equation x=A\cos (\omega t). Find the velocity of the jumper at 0.25s Homework Equations x=Acos(\omega*t)...

Homework Statement a cylinder is in a deep pool of liquid. it has mass 2kg, diameter 10cm, height 15cm. the density of the liquid is 1.5g/cm^3. The cylinder is submerged up to 12cm, and let go. Show that the resulting motion is simple harmonic. Homework Equations x=Acos(wt)...

Homework Statement A spring of negligible mass have an original length of 1m. A load of 2kg is later added to it, resulting in an extension of 0.1m. Then it is pulled 0.02m and released. What is the amplitude of the simple harmonic motion. erm basically I just want to know which is the...

This is the question: A massless spring with a spring constant of 0.50 N/m, has a mass of 0.7 kg on its end. The maximum speed of the end is 2.5 m/s. What is the angular frequency of the system? I don't know how to approach this problem at all. I just know that omega/2pi is the...

Homework Statement Kindly go through the attachment. (i) vcosθ in a direction parallel to OY. (ii) vsinθ in the direction perpendicular to OY. The component vsinθ has no effect along YOY' since it is perpendicular to OY My doubt is "Why the perpendicularity of vsinθ to OY...

Homework Statement Part 1: A 0.1 kg block attached to a spring of force constant 17.2 N/m oscillates with an amplitude of 16 cm. Find the the maximum speed of the block. I solved this part using the equations for angular frequency and max velocity. Part 2: Find speed of the...

Homework Statement What is the initial phase angle of this graph that describes a simple harmonic motion? Homework Equations The Attempt at a Solution I don't have any clue about how to find it by watching the graph, I know only an equation to find it. Any help please.

Homework Statement a particle moves to the right along the x-axis with a simple harmonic motion from x0 = 3.0cm in t=0 . if its position x is given by x = 4.0 cos (pi t + phi) , in cms ; find its period T. Homework Equations The Attempt at a Solution The problem ask me more...

Hi, I am a bit confused regarding the relation between the acceleration and time period in simple harmonic motion. This questions asks what would be one change to the motion of a car's wing mirror in case the glass was switched for a heavier one. I don't understand for example, how would...

Hi, I am not very good with questions that ask me to asses a scenario qualitatively in SHM... So, if you guys can maybe guide/advise me how to go about these here: 1.A body is suspended vertically at the end of a spring that is attached to the ceiling of an elevator. The elevator moves...

Hi, 9 (a) Write down an equation for the displacement of a particle undergoing SHM with an amplitude equal to 8.0 cm and a frequency of 14 Hz, assuming that at t = 0 displacement is = to 8.0 cm and the particle is at rest. What I got (and this agrees with the book) was: x = 8.0 cos...

suppose if we make hole at the centre of Earth and release a ball into it,then it exhibits simple harmonic motion about the centre,please explain

hi I am just saw this phenomenon and see if there is any links to the topic that I am learning in school. So when i rolled a half full (depends on how optimistic you are :smile:) water bottle with a certain amount of force, the bottle went back and forth for a little while before stopping...

Hi, i need some help for a physics question: when is acceleration at maximum and when is acceleration at minimum in a simple harmonic motion. i know when the speed is at maximum: at the equilibrium position; however, i do not know about the acceleration. Please note that direction does not matter

Hi, :smile: Assuming that the motion of the hydrogen atom is simple harmonic, its frequency of oscillation, f, is given by the expression: f = 1 / 2π * √(k/m) where k is the force per unit displacement between a hydrogen atom and the carbon atom and the m is the mass of a proton. (i)...

Homework Statement A mass sits on a platform undergoing simple harmonic motion in the vertical direction. The mass loses contact with the platform when the amplitude exceeds 6.2 cm. What is the frequency, f (in Hz), of the platform’s vibration? Take g = 9.8ms−2. Homework Equations...

Motion of particle shows a max acc. of 30 m/s2 and a frequency of 120 cycles per minuet. assuming SHM determine, the amplitude and max velocity. i found the sqrt of k/m to be 12.57 even though neither was given and the frequency to 2 cycles/sec. i do not know what relations to use to work...

if you have the equation: x(t) = Acos(ωt + ϕ) and you have the following information: A 200 g block hangs from a spring with spring constant 10 N/m. At t = 0s the block is 20 cm below the equilibrium position and moving upward with a speed of 100 cm/s. The answers give a short method of...

Homework Statement Hi I need some clarification on this question A light elastic string of natural length 50 cm and modulus 20 N has one end fastened to O on a smooth horizontal table. The other end has a particle of mass 0.4 kg attached to it and the particle is released from rest at a...

I've encountered a bit of a conceptual problem in my studies and I was hoping someone could help me out with this: I understand that the longitudinal sound wave takes the form of the equation s(x,t) = smcos(kx +/- wt), and that the equation for pressure variance produced by the sound wave...

1. Homework Statement Find the time taken to reach half the maximum angular displacement in a PENDULUM. Given that the bob hanging at rest was given an initial velocity of 2ms, and the length of the string is 6m. 2. Homework Equations finding the angular velocity using sqrt.(g/l)...

1. Two people build precison timing devices, one with a simple pendulum, one with a simple mass-spring. Each is to have a period of 2 s. The Fg = 9.8 m/s^2. Select the appropriate parameters for this to happen. Part B - which device is more precise at the equator? 2. I have no idea :(...

Homework Statement The figure attached shows the meter used to study the motion yB = bsinωt. The motion of the mass relative to the frame is recorded on the drum. If l1= 360 mm, l2= 480 mm, l3= 600 mm, m = 0.9 kg, c = 1.4 Ns/m and ω = 10 rad/s, Determine the range of the spring...

Homework Statement Atoms in a solid are not stationary, but vibrate about their equilibrium positions. Typically, the frequency of vibration is about f = 2 E12 Hz and the amplitude is about 1.1 E-11m. For a typical atom, what is its (a) maximum speed? Homework Equations T= 1/f. v = change...

Homework Statement A 0.155 kg mass is attached to a spring and executes simple harmonic motion with a pe- riod of 0.63 s. The total energy of the system is 1.9 J. Find the force constant of the spring. Homework Equations E=1/2(kA^2) The Attempt at a Solution We went...

Hey, I have a simple question to ask. Some sources I have seen develop the solution for the underdamped case with an exponential term multiplied by a Cosine term. This is due to the application of the Euler identity to the solution with two exponentials each with one of the complex conjugate...

Homework Statement The drawing shows a top view of a frictionless horizontal surface, where there are two springs with particles of mass*m1*and*m2*attached to them. Each spring has a spring constant of*120*N/m. The particles are pulled to the right and then released from the positions shown in...

Homework Statement A 2kg particle undergoes simple harmonic motion according to x=1.5sin((pi*t/4) + Pi/6) A)What is the total mechanical energy of the particle? B) Shortest time for particle to go from x=.5m to x=-.75m Homework Equations Potential energy=.5kx^2 The Attempt at a...

Homework Statement During an earthquake, a floor oscillates horizontally in approximately simple harmonic motion. Assume it oscillates at a single frequency with a period of 0.84 s. After the earthquake, you are in charge of examining the video of the floor motion and discover that a box on...

Homework Statement A 5g bullet is fired horizontally into a 0.50kg block of wood resting on a frictionless table. The block, which is attached to a horizontal spring, retains the bullet and moves forward, compressing the spring. The block-bullet system goes into SHM with a frequency of 9Hz...

Homework Statement On a horizontal, frictionless table, an open-topped 5.50kg box is attached to an ideal horizontal spring having force constant 365 N/m . Inside the box is a 3.44-kg stone. The system is oscillating with an amplitude of 7.50 . When the box has reached its maximum speed, the...

Homework Statement On a frictionless, horizontal air track, a glider oscillates at the end of an ideal spring of force constant 2.20 N/cm . The graph in the figure shows the acceleration of the glider as a function of time. Find the mass of the glider. Homework Equations T=...