Harmonic motion Definition and 1000 Threads

A particle moves in a straight line so that its position, x cm, from a fixed point O, at time t seconds is given by x=3+12sin(2\pi t)+5cos(2 \pi t). Prove that the particle is undergoing simple harmonic motion, and find x when its speed is 26\pi cm/s. I was fine with the first part of the...

What does 'simple harmonic motion' mean? By definition, it describes any periodic motion that is the result of a restoring force that is proportional to displacement. What does 'periodic' mean here? It means recurring at equal intervals of time? Ususally, the example of SHM is virating...

Homework Statement A small bead of mass m1 slides without friction in a spherical bowl of radius R. The bead is displaced a height h1 from the bottom of the bowl. A second, more massive bead of mass m2 is displaced a height h2 from the bottom of the bowl opposite the first bead. The two...

Simple Harmonic Motion-Help Please :) Homework Statement A loundspeaker diaphragm is producing a sound for 1.5 s by moving back and forth in a simple harmonic motion. The angular frequency of the motion is 8.50 104 rad/s. How many times does the diaphragm move back and forth? ________...

Homework Statement A body oscillates with simple harmonic motion along the x-axis. Its displacement varies with time according to the equation A=Ai * sin(wt+ (pi/3)) , Where w = pi radians per second, t is in seconds, and Ai = 2.4m. What is the phase of motion at t = 9.4 seconds...

Homework Statement You (mass m) are chosen as the "test pilot" for a new bungee jump. When you suspend yourself at rest from the bungee, you find that it stretches a distance L under your body weight. The jump point is a height 6L above the ground and the relaxed (unstretched length) of the...

Homework Statement How could you double the maximum speed of a SHO? Homework Equations v_max = sqrt{k/m}A The Attempt at a Solution The speed is at its maximum when it's period is complete and is passing through its equilibrium point. k and m can be kept at the same. BUt if we...

ok, so I've had a look around the forums and all that nd i can't find anything that will help me with what I am stuck on...nd if I'm about you ask a question that's already being asked I am sorry for posting a new thread...just point me in the right direction! Homework Statement a particle...

Homework Statement A 10.0kg mass undergoes Simple Harmonic Motion with an amplitude of 8.0 cm, a maximum acceleration of magnitude 3.26 m/s^2, and an unknown phase constant φ. What is the period, max speed of the mass, the total mechanical energy of the system, and the magnitude of the force...

This isn't a homework problem specifically, but I was wondering if it is possible to find the period, amplitude, etc of a slightly more complex system. I found one on this page...

A mass of 0.100 kg is supported in equilibrium by two identical springs of negligible mass having spring constants k= 0.050 N/m. In the equilibrium position, the springs make an angle of 30 degree with the horizontal and are 0.100 m in length. If the mass, m, is pulled down a distance of 0.020 m...

Homework Statement The spring constant of the spring is 23N/m and the mass of the object is 6kg. The spring is unstretched and the surface is frictionless. A constant force of 16N is applied horizontally to the object causing the spring to stretch. Find the speed of the object after it has...

1) A mass is connected to 2 rubber bands of length L as shown. Each rubber band has a constant tension T. You can neglecct the force of gravity for this problem. The mass is displaced horizontally by a very small distance x and then released (so x<<L always). The mass will exhibit simple...

I think that this is the proper place for this, but move it if I'm wrong. I'm conducting a physics project that has to do with what I think is the coriolis effect and simple harmonic motion. If a free swinging pendulum is let swing from a point over a level sand pit, as it swings, it will...

Homework Statement A partridge of mass 4.94 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 4.17 s. When it is moving upward, how much time is required...

Homework Statement the equation of motion for a damped harmonic oscillator is d^2x/dt^2 + 2(gamma)dx/dt +[(omega0)^2]x =0 ... show that x(t) = Ae^(mt) + Be^(pt) where m= -(gamma) + [(gamma)^2 - (omega0)^2 ]^1/2 p =-(gamma) - [(gamma)^2 - (omega0)^2 ]^1/2 If x=x0 and...

Hello all, I have completed a lab for simple harmonic motion, with the goal of finding the constants B, n, and p in the equation T=B*k^n*m^p, where k is the spring constant and m is the mass. I suppose this is more of a math question, because I already have two separate power regressions...

I came across a physics problem for homework that I was able to work out on my own, however when I got to class, my teacher said that my numbers were not what the book had calculated, but couldn't tell if there was a flaw in my logic that would prevent me from getting the correct phi and...

1. A tray is moved horizontally back and forth in simple harmonic motion at a frequency of f=2.00Hz. on this tray is an empty cup. obtain the coefficient of static friction between the tray ad cup given that the cup begins slipping when the amplitude of the motion is 0.05m 2. f=kx...

Homework Statement In some diatomic molecules, the force each atom exerts on the other can be approximated by F = -C/r2 + D/r3, where r is the atomic separation and C and D are positive constants. Let delta r = r - r0 be a small displacement from equilibrium, where delta r << r0. Show that...

I can't figure out what the heck I need to do for this problem. 3) A body oscillates with simple harmonic motion along the x-axis. Its displacement varies with the time according to the equation A=A sin (wt+ pi/3) Where w=pi radians per second, t is in seconds, and a= 7.6m. What is...

Homework Statement A particle is dropped into a hole drilled straight through the center of the Earth. Neglecting rotational effects, show that the particle's motion is simple harmonic if you assume Earth has uniform density. Show that the period of the oscillation is about 84 min...

Homework Statement The residents of a small planet have bored a hole straight through its center as part of a communications system. The hole has been filled with a tube and the air has been pumped out of the tube to virtually eliminate friction. Messages are passed back and forth by dropping...

Homework Statement An ultrasonic transducer, of the type used in medical ultrasound imaging, is a very thin disk (m = 0.08 g) driven back and forth in SHM at 1.5 MHz by an electromagnetic coil.(a) The maximum restoring force that can be applied to the disk without breaking it is 34,000 N. What...

Multiple force constants/Single mass?: SHM, Spring w/ mass. Homework Statement Kim drives her empty dump truck over a berm (also called a speed bump) at the contruction site. The truck has a mass of 3000kg and the force constant for one of the truck's springs is 100,000N/m (Remember, truck...

Homework Statement Your boss at the Cut-Rate Cuckoo Clock Company asks you what would happen to the frequency of the angular SHM of the balance wheel if it had the same density and the same coil spring (thus the same torsion constant), but all the balance wheel dimensions were made one-third...

Hey guys, using my knowledge of y=(e^ax) sin bx and y=(e^ax) cos bx, I need to find an example where these functions could be used as a model. I was thinking about damped harmonic motion but had a tough time trying to find an example and how i could relate it to those two graphs, any ideas?

I have several questions i will write all of them and give you my attempt at a solution, hope you can help me figure out what i am doing wrong, Thanks. Question 1: An air-track glider is attached to a spring. The glider is pulled to the right and released from rest at t=0.00 s. It then...

Hi i need help with this question. It is focused on simple harmonic equation and the rest of the assignment uses many question which are structure like this. A mass of 16kg on a spring of k = 9.0N/m passes the midpoint of motion with a velocity of 2.0m/s what is the amplitutde? I am unsure...

I'm supposed to derive x as a function of time for a simple harmonic oscillator (ie, a spring). According to my textbook this is done by using Newton's second law and hooke's law as this: ma=-kx and one gets a differential equation in the second order. I can follow the calculations until...

Q. the end of on of the prongs on a tuning fork that executes simple harmonic motion of frequency 1266 hz has an amplitude of 0.4944mm. find the speed of the end of the prong when the end has a displacement of 0.2037mm. okay i know that you use the v(t) equations and all but where does...

Homework Statement http://www.physics.umd.edu/courses/Phys122/Noyes/HW/hw1.pdf (pg 3) Homework Equations Im guessing that E = K + U has something to do with it The Attempt at a Solution Not really sure where to start..I tried a few approaches but none of them got me...

Homework Statement A mass of density d floats in a liquid of density d_L. The mass is then pushed down a distance x and let go. Use Newton's Second Law to demonstrate that the mass will undergo simple harmonic motion. Recall that the SHM equation is d^2x/dt^2 + w^2*x = 0. Assume there is...

i added a picture which illustrates the situation that i am describing. we put two masses on a spring.each masses weighs m . the luse length of the sping is L. the spring constant is K. both of the bodies (sticked together) are moving in a harmonic motion with an amplitude A. on one...

Homework Statement Prove that the maximum speed (Vmax) of a mass on a spring is given by 2(Pi)fA f = period A = Amplitude (compression) Homework Equations Ek = 1/2mv^2 Et = Ek + Ee The Attempt at a Solution So from what I understand, Velocity is maximum when total...

Homework Statement # A simple pendulum having charge q, mass m and effective length l is suspended from a rigid support between the plates of a charged capacitor whose plates are kept vertical. What is the time period of oscillation of the pendulum? Homework Equations Time period =...

Hey, my teacher gave me these two problems for Homework and me nor anybody else in my class has no idea how to do them, any help would be greatly appreciated. 1. a 15.0kg block rests on a horizontal table and is attached to one end of a massless, horizontal spring. By pulling horizontally on...

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...

Jane wants to swing on a rope across a river. What minimum speed does she need to make it across, and once she's across, what minimum speed does she need to make it back? Here's what's given: mass = 47 kg horizontal wind - call it F - (opposite to her swing) = 120 N horizontal distance (D) =...

Hi all, I am having difficulty with a question. I would like some guidance. QUESTION: A block rests on a frictionless horizontal surface and is attached to a spring. When set into simple harmonic motion, the block oscillates back and forth with an angular frequency of 9.5 rad/s. The drawing...

A horizontal spring is lying on a frictionless surface. One end of the spring is attached to a wall whle the other end is connected to a movable object. The spring and object are compressed by 0.064 m, released from rest, and subsequently oscillate back and forth with an angular frequency of...

A vertical spring with a spring constant of 470 N/m is mounted on the floor. From directly above the spring, which is unstrained, a 0.30 kg block is dropped from rest. It collides with and sticks to the spring, which is compressed by 2.5 cm in bringing the block to a momentary halt. Assuming air...

A u-tube manometer is half filled with water. The liquid levels are displaced so that one side is higher than the other. The water is then left free to oscillate from side to side. The tube has a cross sectional area of 1.cm^2 and the inital displacement is 0.1m from the rest position, which is...

When a 63 kg person climbs into a 1040 kg car, the car's springs compress vertically by 3.3 cm. What will be the frequency of vibration when the car hits a bump? Ignore damping. Here is the FBD I have drawn: http://img276.imageshack.us/img276/6189/fbdcc2.png Im not even sure if this is...

H, I missed the class so may be asking something really dumb her but have got a test today and want to do well so here goes: in what cases should you use either of these formulas? (we have been told to remember them but not told when either is more relavent that the other, and my book doesn't...

OK, the answer for this problem seems a bit high to me, so I'm going to ask if it all seems alright. You have a 1m rod of no mass, fixed so that it may rotate about it's center. At the top of the rod is a mass m1 (0.5kg), and the bottom is a mass m2 (1.0kg). Find the angular frequency assuming...

hey guys, just hpoping sum1 could point me in the rite direction...i can't wrk out how to proove v^2=n^2 (A^2-x^2) from v dv/dx = -n^2x obviously you hav to integrate...but i don't know how they get the A into the equation?? what i hav tried is intergating both sides with recpect to x...

My teacher set us a bunch of pendulum/SHM questions, and I managed to crack them all except for this one which has been bothering me: "A 5.4 g bullet is fired horizontally into a 0.50 kg block of wood resting on a frictionless table. The block, which is attached to a horizontal spring...

Hello there! I started a new chapter in my script and have done some problems about harmonic motion. After searching in this forum for a similar problem for ages but without any succees, I need to ask you guys to help me out. Here it is: A toy car of mass 1kg is attached with a spring to a...

When observing the acceleration graph of simple harmonic motion we can see that the acceleration is just the opposite of the elongation. Yet we know that the pendulum velocity is increasing when approaching the equilibrium state. Which means that the motion is accelerated altough the sign of the...