Simple harmonic motion Definition and 917 Threads

these are 2 qn on simple harmonic motion which i am not sure if my solution is right or not. 1) A thin rod, length L hinged at one end, connected to a spring at the other end. Take the spring constant to be K. What is the angular frequency? My solution: let the displacement from equil. to...

Hello, i am now in the process of integrating m(d^2x/dt^2)=-kx which i know i will have to do twice in order to obtain the general solution to simple harmonic motion, x= Acos(wt+c) c=phi but I'm just having problems with the second derivative of acceleration (d^2*x/dt^2) when it comes to...

Hi, I would really like to know if my solution to the following question is correct, I would really really really appreciate it. A hanging spring stretches by 35cm 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...

I can't seem to get the right answer, where is my mistake? A 90 kg skydiver hanging from a parachute bounces up and down with a period of 1.5 seconds. What is the new period of oscillation when a second skydiver, whose mass is 60 kg, hangs from the legs of the first? I am using the...

hey guys I am having trouble figuring out if something is undergoing simple harmonic motion. i know that for an object to be executing simple harmonic motion, its position and velocity must follow a sin curve...but I am still having trouble. ok for example, a question on a worksheet said "a...

simple harmonic motion ? hey guys, I am having troube with this problem a vertical spring stretches .25m when a 2kg weight is hung from it. If that weight were oscillating up and down, how long would it take to complete 10 cycles? so first i tried to find k by using...

Hi, So I'm having a little bit of trouble answering a couple of simple questions regarding simple harmonic motion... [Image] All of this is regarding the really simple image ^ Oscillations are not always described by equations; you should also be able to analyze the graphical...

I need help on a couple of problems. 1. A block on a spring is pulled to the right and released at t= 0s. It passes x = 3.0 cm at t= 0.685s, and it passes x= -3.0 cm at t= 0.886s. What is the angular frequency? What is the amplitude? I know what equatios I need to use, but without...

the problem gives x(t)= A cos( (k/m)^(1/2) * t) A block of mass m is attached to a spring whose spring constant is k. The other end of the spring is fixed so that when the spring is unstretched, the mass is located at x=0. View Figure . Assume that the +x direction is to the right. The...

An air-track glider attached to a spring oscillates with a period of 1.50 seconds At t=0 the glider is 5.40 cm* left of the equilibrium position and moving to the right at 39.2*cm/s. What is the phase constant , if the equation of the oscillator is taken to be x=A*cos(wt+Fi original) ...

In preparation for shooting a ball in a pinball machine, a spring (k = 675 N/m) is compressed by 0.0690 m relative to its unstrained length. The ball (m = 0.0540 kg) is at rest against the spring at point A. When the spring is released, the ball slides (without rolling) to point B, which is...

I am having trouble with this question: 1. A particle oscillating in simple harmonic motion is: in equilibrium at the center of its path because the acceleration is zero there or in equilibrium at the ends of its path because the acceleration is zero there 2. When a body...

We are talking about SHO in physics and the forumula for period T of a pendulum was introduced - T=2*pi*(L/g)^.5 where L is the length of the pendulum arm/string and g is acceleration due to gravity. the instructor also said this was an approximation that was only accurate for small angles...

Q: A tuning fork vibrates at a frequency of 264 Hz and the tip of each prong moves 1.66 mm to either side of center. Calculate the maximum speed of the tip of a prong. So far I've found that Vmax = omega*A, but I don't know how to find A. Am I going in the wrong direction? Or is there a way...

I have been looking at this problem forever. It is probably easy, but I am making it harder. States: In preparation for shooting a ball in a pinball machine, a spring (k=675 N/m) is compressed by 0.0650m relative to its unstrained length. The ball ( m=0.0585kg) is at rest against the spring at...

A "seconds" pendulum is one that goes through its equilibrium position once each second. (The period of the pendulum is 2.000 s.) The length of a seconds pendulum is 0.9927 m at Tokyo and 0.9942 m at Cambridge, England. What is the ratio of the free-fall accelerations at these two locations...

A block of mass 2kg oscillates on the end of a spring in SHM with a period of 20ms. The position of the block is given by: x=(1.0cm)cos(wt+2pi). Another block of mass 4kg slides toward the oscillating block with velocity of 6m/s. The two blocks undergo a completely inelatic collision at time...

http://sweb.uky.edu/~lsadam0/problem2.JPG Im kinda lost on this problem. Shouldnt the Y motion be described as A*sin(wt)? In there equation we are considering when x=0, so the kx term is removed, but where is this third term coming from, and then should Y motion just be described as...

I have this problem: An object is undergoing simple harmonic motion with period 0.330 s and amplitude 5.95 cm. At t=0 the object is instantaneously at rest at x= 5.95 cm. i need to find : the time it takes the object to go from x= 5.95 cm to x= −1.49 cm. I have tried using x = A cos(wt +...

An air-track glider is attached to a spring. The glider is pulled to the right and released from rest at t = 0 s . It then oscillates with a period of 2.40 s and a maximum speed of 46.0 cm/s. What is the amplitude of the oscillation? i tryed solving for t by using the equation x(t) = A cos...

A 2 kg mass is attached to a spring aand placed on a horizontal, smooth surface. A force of 20N is required to hold the mass at reast when it is pulled .200m from the equilibrium position. The mass is released and undergoes simple harmoic motion. a) what is the force constant? b) frequency...

a ball is dropped from a heright of 4m and makes a perfectly elastic collision with the ground. Assuming that no energy is lost due to air resistance, a) show that the motion is periodic b) determine the period of the motion c) is the motion simple harmonic? a) I know that periodic...

I am going brain dead on a rather simple question. Appreciate some help. A mass of 4.5 KG attatched to a horizontal spring of constan 75 KN/m is compressed 0.4 m from Equilibirium and then a loose mass of 2.5 KG is placed in front of it . IF the mass is now released: 1. at what point...

Hello Here's a situation I would like to discuss... Suppose we have an ideal parallel plate capacitor which is filled with air (or vacuum) with permittivity = 1. Now if a dielectric slab of width equal to the space (d) between the plates is inserted into the space between the plates, it...

Ok the system which is doing the oscillations is described here http://scienceworld.wolfram.com/physics/SpringsTwoSpringsandaMass.html however, that differential equation over there gives the equation of motion. What i need is the differential equation for the position of the mass ALso...

i need help... A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. 1.0 J of work is required to compress the spring by 0.15 m. If the mass is released from rest with the spring compressed, it experiences a maximum...

I have my solution and my doubt in the attachment that followed.

This is a little question that I am not sure how to do because of the way gravity works with vertical springs. A 3 lb block rests on top of a 5 lb block which is attacked to a k=1000 N/m spring force spring following hooke's law. The blocks are released and allowed to reach equilibrium (.08...

A 1.00-kg object is attached to a horizontal spring. The spring is initially stretched by 0.100 m, and the object is released from rest there. It proceeds to move without friction. The next time the speed of the object is zero is 0.500 s later. What is the maximum speed of the object? I...

A particle moving along the x-axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 1.70 cm and the frequency is 2.00 Hz. Determine the total distance traveled between t = 0 and t = 0.75 s. how would...

While riding behind a car traveling at 3.00 m/s, you notice that one of the car's tires has a small hemispherical bump on it's rim. If the radii of the car's tires are .300 m, what is the bump's period of oscillation? Can anyone tell me where to start with this? I'm actually not even sure...

An object attached to a spring (k = 30 N/m) has a velocity of 2.5 m/s when it is .55 m from equilibrium, and has a period of 2.45 s. After doing other parts I found the mass to be 4.561 kg, the total energy of the system to be 18.79 J, the amplitude to be 1.12 m, and the maximum speed to be...

1. A particle mass attached to one end of a light spring is executing SHM on a smooth horizontal table. If another identical particle is attached to the other end of the spring, what is the period of oscillation? I don't know how to figure this problem out...I used to deal with a spring fixed...

A mass is on a spring is pulled down and released.Show thatit performs simple harmonic motion. as the mass is pulled down and released restoring force pulls it upwards but as it reaches on the top extreme the gravity pulls it down n continuous to oscillate.but how does it prove that motion is...

We did an experiment with a vertical spring-mass system. Here is an example of data collected: Mass------------T (period) 200 g-----------.3 s 400g------------.5 s My question is why does the period increase as the mass increases? I know that the amp. and T are independent of each...

In a block-spring system with a block of mass m and a spring of spring constant k, prove that the angular velocity ω of the block = (k/m)^(1/2). I can prove this easily in the following manner: F = ma Newton's law F = -kx Hooke's law a = -ω^2x ma = -kx = -mω^2x k = mω^2 ω^2 = (k/m)...

Why is the formula for period of simple harmonic motion independent of amplitude?

i have a problem i am working on and i am just not sure how to do it i was looking for some help i will state the problem then explain the way i am trying to do it. thanks for any help in advance. A 0.27 kg mass is suspended on a spring that stretches a distance of 4.9 cm. The mass is then...

i am finding damped SHM difficult to understand can anyone give sugestion as to what coul .do

A block rides on a piston that is moving vertically with simple harmonic motion. if the shm has period 1 s at what amplitude of maotion will the block and piston seperate? T= 1 / f 1= 1 / f x= x cos (wt+0) x= x cos( 2 * pi * 1 + 0) where can i go from here?

A diving board oscillates with simple harmonic motion of frequency 3.6 cycles per second. What is the maximum amplitude with which the end of the board can vibrate in order that a pebble placed there will not lose contact with the board during the oscillation?

A mass m is connected to two springs, with spring constants k1 and k2. (m connected to k2, which is connected to k1 which is connected to a wall horizontally). Show that the period for the configuration is given by T = 2 \pi \sqrt{m ( k^{-1}_1 + k^{-1}_2)} Well I know .5kA^2 = .5mv^2...

a 2-kg ball is supended from a spring. when disturbed in a vertical direction, the ball moves up and down in simple harmonic motion with a period of 0.25s. a. what is the upward force exerted on the ball by the spring when the ball is at the midpoint of its up-and-down path? b. how much...

What seems to be a very simple question is confusing me. ----At t = 0, a 790g mass at rest on the end of a horizontal spring (k = 101N/m) is struck by a hammer, which gives it an initial speed of 2.66m/s. Determine the amplitude.----- I know that the amplitude is the 'maximum excursion...

1. A 4.0kg block is suspended from a spring with force constant of 500N/m. A 50g bullet is fired into the block from directly below with a speed of 150m/s and is imbedded in the bloack. (a) Find the amplitude of the resulting simple harmonic motion. (b) What fraction of the original kinetic...

hello... I was wondering if someone can help me fully understand the equations of SHM: x(t) = A cos (wt + theata) v(t) = -A sin (wt + theata) a(t) = -A cos (wt + theata) you see... i know that A is the amplitude and that theata is the phase shift. I know that w is agular...

1a)A simple pendulum is 4.35 m long. What is the period of simple harmonic motion for this pendulum if it is hanging in an elevator that is accelerating upward at 5.90 m/s2? b)What is the period of simple harmonic motion for this pendulum if it is placed in a truck that is accelerating...

A block rides on a piston that is moving verticallly with simple harmonic motion. A) If the SHM has a period of 4.9 seconds, at what amplitude of motion will the block and piston separate? B) If the piston has an amplitude of 4.0 cm, what is the maximum frequency for which the block and piston...

:confused: My teacher gave us lots of exercise without answer and help i feel so frustrated to complete all those exercise but i can't answer any of them. i search in the book and i can't find anyway suitable way for that question. this question is very simple but i can't get a away to answer...

A cylindrical wooden log is loaded with lead at one end so it floats vertically in water. The submerged part is 2.56 m (called L). I'm supposed to show the oscillation is simple harmonic. Can someone point me in the right direction? For some reason I'm thinking gravity and density play a big...