Shm Definition and 502 Threads

Homework Statement Two identical particles, each having charge +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 The following problem is taken from the MCAT Prep book ExamKrackers 1001 Physics Problems A board with mass m and center of mass C sits on fixed, rotating rollers separated by a distance L. The coefficient of friction between the board and the rollers is u. The board...

Homework Statement You set your pencil on the very edge of a swing and start rotating the swing to see how far you can wind it up before the pencil slips off while unwinding. The swing is simply a rope hanging from a tree and passing through the center of a flat plywood board. The rope has...

i have the following question and i have no idea how to answer it can any please help out... consider a Mass M which is dropped a height z onto a spring of stiffness k N/m. when the mass hits the spring, the spring will deflect a distance x before the mass stops moving down. show that the...

Need to show that the vertical displacement of a particle on a spring is \ddot{x} + 100x = 0 \frac{1}{2}kx^2 + \frac{1}{2}m\dot{x}^2=C k\dot{x}x + m\dot{x}\ddot{x}=0 Then since m=0.4, k=40. \ddot{x}+100x=0 what has happened to gravitational potential energy? why isn't...

My question is with part c, more specifically the calculating of the amplitude part. http://img691.imageshack.us/img691/1750/shmquestion.jpg The answer to the question is: [PLAIN][PLAIN]http://img80.imageshack.us/img80/8921/shmanswer.jpg I do not understand how to arrive at this...

Hi: Would somebody kindly check I have approached this problem correctly, please? Thank you. Homework Statement A 0.2kg mass is suspended from a light spring, producing an extension of 5.0cm. a) Calculate the force constant of the spring. The mass is now pulled down a further 2.0cm and...

1D Potential 1. Homework Statement Given: U(x) = U_0 - U_n*e^-(kx^2), U_0, U_n and k are all constant. i) What is the maximum E for the particle to remain in potential? ii) Show that the potential has a minimum at x = 0. iii) If a particle of mass m is placed near the minimum at x = 0, and...

Homework Statement A mass oscillating in SHM starts at x=A and has a period of T. At what time, as a fraction of T, does it first pass through x=0? Homework Equations x(t) = Acos(wt + \varphi) The Attempt at a Solution I'm not sure if this means I set x(t) = A, or if the \varphi = -A? Also...

hooke's law and shm help please Homework Statement a 4 kg mass is placed on a spring (k = 40n/m) which hangs vertically. the mass is allowed to oscillate in shm. the maximum distance the mass travels in anyone direciton is 30cm Homework Equations k = 40 n/m distance = 30 cm mass = 4...

Homework Statement I don't want to write the whole question as it is very long and I just have one query.. Basically the question involves a particle attached to three different springs which have fixed end points. In the question the mass of the particle is m, and the other constants used...

I was reading some topics related to electrostatics where i came across ANGULAR SHM OF A DIPOLE. I could understand everything in SHM. but i can't relate it with electric field. I've some doubts based on the conventions used here... can any1 help me... and this is it... it's given that...

[b]1. The problem statement, all variables and given/known A mass m is connected between two identical springs (along a y-axis) with identical spring constants k. The equilibrium length of each spring is L, but they are stretched to twice this length when m is in equilibrium. By analyzing the...

A few days ago I carried out an experiment about Simple harmonic motion. In the attachment I added the scheme of the laboratory. I have collected the following data : time(s), displacement(m), velocity(ms-1) I can obviously plot the graph of x(t). However, the next task is to draw a graph...

Homework Statement With a block of mass m, the frequency of a block-spring system is 1.5Hz. When 80g is added, the frequency drops to 0.9Hz. Find m and the spring constant k. Homework Equations T=1/f w=2pi/T so w= 2pi*f w^2=k/m so k=mw^2 T=2pi*sqrt(m/k) The Attempt at a...

Homework Statement A cable is used to suspend a 400 kg safe. It is being lowered at 6 m/s, when it stops suddenly. Find the maximum dynamic tension and the frequency of vibration. k=2(105 N/m Homework Equations Newton's 2nd law The Attempt at a Solution Well I easily found the...

Homework Statement For a certain oscillator the net force on the body with mass {m} is given by F_x = - cx^3. a) What is the potential energy function for this oscillator if we take U = 0 at x = 0? b) One-quarter of a period is the time for the body to move from x = 0 to x = A. Calculate...

I feel like an idiot for not being able to answer this question, it seemed so simple yet so complicated in my head. Homework Statement Have to find frequency, given the amplitude, velocity, and mass. I don't have numbers as it was off an exam I just took. Guessing it was v=5 m/s; A=10m...

Homework Statement I doing a investigation coursework at the moment for physics A2. I am investigating how the viscosity of oil is affected by the temperature. I am attemping to prove the viscosity decreasing by showing that the damping constant decreases. I have attached a excel workbook...

Homework Statement A particle of mass 0.5kg is attached to one end of a light elastic string, natural length 1.2m, it has a modulus of elasticity of 29.4N. When at rest it lies 1.4m directly beneath A. The particle is then displaced 1.75m directly below A & released from rest. Find the...

Homework Statement Consider the simple harmonic motion of a block attached to a spring on a horizontal surface (assume no damping to begin with). At t = 0, the potential energy in the spring is 25% of the maximum potential energy during this motion. Moreover, the kinetic energy of the block...

Homework Statement Bungee Man is a superhero who does super deeds with the help of Super Bungee cords. The Super Bungee cords act like ideal springs no matter how much they are stretched. One day, Bungee Man stopped a school bus that had lost its brakes by hooking one end of a Super Bungee...

Finding amplitude? SHM problem Homework Statement A 245 g mass attached to a horizontal spring oscillates at a frequency of 3.70 Hz. At t =0s, the mass is at x= 4.40 cm and has v_x = -25.0 cm/s. Determine: Homework Equations I got the first two The Period= .27027 s The Angular Frequency=...

Homework Statement It is a three part question in which I have successfully answered the first two of the questions. Part. 1 A weight suspended from a spring is seen to bob up and down over a distance of 10 cm twice each second. What is the frequency? 2 Hz is the...

There's an example question from my textbook that I'm confused about: A 500 g block on a spring is pulled a distance of 20 cm and released. The subsequent oscillations are measured to have a period of 0.80 s. At what position or positions is the block's speed 1.0 m/s? The book solves this...

I'm working on a problem on relating gravitation and simple harmonic motion. The idea is that a mass dropped in a hole drilled through the Earth will oscillate (no friction, etc). The question asks this: "Show that the motion of the mass is simple harmonic motion and find a formula for r(t)"...

Homework Statement A block of unknown mass is attached to a spring with a spring constant of 8.3 N/m and undergoes simple harmonic motion with an amplitude of 12.0 cm/s. For the block, calculate its: a) mass, b) period of motion, c) maximum acceleration and d) energy. I can...

Hi here's the problem i need help with. a block is attached to a spring and performs SHM along a horizontal straight line. a piece of putty is dropped vertically so that it sticks to the block when it lands on it. refer to the attached figure. Discuss qualitatively the effects of this...

A partridge of mass 5.05 kg is suspended from a pear tree by an ideal spring of negligible mass. When the partridge is pulled down 0.100 m below its equilibrium position and released, it vibrates with a period of 4.15 s. i figured out the first three parts, but part four has me stuck. What...

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 I read online in several places that any particle in motion in a conservative force field undergoes simple harmonic motion for small amplitudes. I am attempting to prove this is true out of my own curiosity, but I don't know if I have the tools necessary to prove it. My math...

Homework Statement A simple pendulum has a mass of 0.250 kg and a length of 6.00 m. It is displaced through an angle of 10.0° and then released. Solve this problem by using the simple harmonic motion model for the motion of the pendulum. (a) What is the maximum speed? (b) What is the...

Let it be V=(1/2)m(w^2)(x^2) for -L<x<L and V=A finite for x elsewhere. is it obvious to use the wavefunction for the SHO that has infinite limits for the (-L,L) region and the usual decay of tunneling for the parts outside x</L/, and then play with the boundary conditions to determine the...

Homework Statement I'm not attempting a specific problem, I'm just trying to find a correct way of doing the math behind simple harmonic motion ODEs... The example problem I've given myself (based on the books I'm using) is a dashpot with constant c, spring with constant k and a mass m...

Homework Statement 1.Reflection goes with a. longitudnal wave b.trasnsverse wave c. both d.neither 2. if mass of teh bob on a springs are increased, howe whould that affet the period of the vibrations? 3. if a spring is released fr. progressively larger displacments, how owould this...

Homework Statement If provided only the spring constant K and the mass of an object undergoing simple harmonic motion how do you find the amplitude? Homework Equations Angular Frequency = sqrt (k/m) Period = 1/t The Attempt at a Solution Using the two equations above you can derive...

Homework Statement To measure the acceleration due to gravity on a distant planet, an astronaut hangs a 0.060-kg ball from the end of a wire. The wire has a length of 1.5 m and a linear density of 3.1 multiplied by 10-4 kg/m. Using electronic equipment, the astronaut measures the time for a...

Hi all, I have learned that linear SHM is just projection of UCM onto one axis. Is angular SHM also related to UCM ? Moreover, I have also learned that theta = theta0 * sin(wt+P) where theta is angular displacement, theta0 is angular amplitude and P is phase constant. Where does this...

Homework Statement A 2 kg object hangs from a spring, the mass of which can be discounted. When the object is attached, the spring extends by 2.5cm. The top of the spring is then oscillated up and down in SHM with an amplitude of 1mm. If Q=15 for the system, find w_0 (angular frequency) and...

Homework Statement Hi When you set up an LC (tank) circuit there is oscillation due to charge and discharge of capactor and storage of energy in the inductor. How do you prove that it is simple harmonic? And also how do you prove (mathematically) energy is conserved in an undamped LC...

It's not a homework question, but I wanted to attempt to derive it on my own. I was lookin for some clues online, and I believe I saw a website using derivatives. Can it be done using pure algebra and trigonometry?

Homework Statement So, we are considering a spring-mass system, in which the mass at the end of the spring, M, is comparable to the mass of the spring, m. Using Newtons laws, I have to calculate, how significant the mass of the spring is. Homework Equations Mass at the end of the...

Homework Statement Uniform Rod of length 0.2m and mass 0.2kg pivoted at one end. THe other end of attached to a horizontal spring with spring constant 3.0N/m. The spring is neither stretched nor compressed when the rod is perfectly vertical. You can also assume that the force due to the...

I am struggling with the following question: My attempt so far is: (in the diagram h is supposed to be A) (i have also assumed the pulse time is negligible, so the mass starts at the resultant velocity) The set of homework questions this has come from is supposed to be related to...

Homework Statement A spring of negligible mass and force constant k = 400 N/m is hung vertically, and a 0.200-kg pan is suspended from its lower end. A butcher drops a 2.2-kg steak onto the pan from a height of 0.40 m. The steak makes a totally inelastic collision with the pan and...

Suppose that, on Earth, a mass is suspended on a vertical string and is executing an harmonic motion with Period: T Amplitude: A Angular frequency: \omega Now all the system is put in the Moon. What changes that system will have? Thanks for you help

Homework Statement A block is on a horizontal surface (a shake table) that is moving back and forth horizontally with simple harmonic motion of frequency 1.3 Hz. The coefficient of static friction between block and surface is 0.59. How great can the amplitude of the SHM be if the block is not...

Homework Statement See attachment (titled "Statement.jpg") Homework Equations F = ma F = -kx U = K = (1/2)kx^2 I'm assuming there are more... The Attempt at a Solution My first attempt at this soultion was to use energy methods. The force applied for some time t0 will...

Hey all, I trying to get somewhere with the following problem and am not having much luck. Any tips or suggestions would be appreciated! I found that the block leaves the platform at y=2.5 cm though. A platform is in SHM in the vertical direction with an amplitude of 5cm and freq. of 10/pi...

Hey all, I trying to get somewhere with the following problem and am not having much luck. Any tips or suggestions would be appreciated! I found that the block leaves the platform at y=2.5 cm though. A platform is in SHM in the vertical direction with an amplitude of 5cm and freq. of...