Pendulum Definition and 1000 Threads

In the book "Introduction to Mechanics" by K&K, in the section on conical pendulums, the net force in the ##\hat{k}## direction is set to zero, since the ##z##-coordinate of the particle doesn't change. However, later on the effect of changing ##\omega## on ##\alpha## (the angle the rod makes...

Homework Statement A long light inflexible rod is free to rotate in a vertical plane about a fixed point O. A particle of mass m is fixed to the rod at a point P a distance ℓ from O. A second particle of mass m is free to move along the rod, and is attracted to the point O by an elastic force...

Homework Statement For a double pendulum, how do we plot the phase space for ##\theta_2## (the lower of the pendulum), i.e. the plot ##\theta_2, \ \dot{\theta}_2?## ##x## = horizontal position of pendulum mass ##y## = vertical position of pendulum mass ##\theta## = angle of pendulum (0 =...

Homework Statement Hi, I need help in solving question c) (a pendulum) The required data, problem and relevant equation is in the pictureThe Attempt at a Solution I am not sure how to solve it but here are my thoughts: since mg is working at j y(t)j= mg does that mean K(r-L0) x(t) direction? I...

I am having difficulties writing my damped oscillations lab report. We were asked to write a short essay on eddy currents (creation,direction advantage and disadvantage) and their relationship with torsion pendulums. Also,we have to explain if the copper wheel in the torsion pendulum could be...

Homework Statement Hey guys, so I'm doing the an exercise on the Kater's pendulum, to calculate g. I've gotten down my g calculation to g = 9.80658m +/- 0.00054 using equation 1 below. The errors taken into account are just on the kater period T and the distance between the two pivot points (L)...

Homework Statement What length must the pendulum be changed to in order to show the correct time? L=0.5m After 12hours the clock is behind by 30minutes. Homework Equations w=sqrt(g/L) w=2πf The Attempt at a Solution I thought if I set the frequency equal to 1Hz and solved for length it would...

I just recently worked through the lagrangian method for describing the motion of a double pendulum. What I want to do now is describe the motion of a double pendulum that has been instantaneously released from the origin and allowed to fly through the air (with the 2 pendulums still connected...

A problem on an assignment I'm doing deals with a cart of mass m1 which can slide frictionlessly along the x-axis. Suspended from the cart by a string of length l is a mass m2, which is constrained to move in the x-y plane. The angle between the pendulum and vertical is notated as phi. The...

Hi, I'm using partial derivatives to calculate propagation of error. However, a bit rusty on my calculus. I'm trying to figure out the partial derivative with respect to L of the equation: 2pi*sqrt(L/g) (Yep, period of a pendulum). "g" is assumed to have no error. I know I can use the...

Hi everybody! I'm struggling with a physics problem I though I had solved, but as it is turning out recently, I probably hadn't. The problem might actually be pretty easy, just me being unable to solve properly. All of you are familiar with inverted pendulum. Now, imagine an inverted pendulum...

Homework Statement A simple pendulum experiment is constructed from a point mass m attached to a pivot by a massless rod of length L in a constant gravitational field. The rod is released from an angle θ0 < π/2 at rest and the period of motion is found to be T0. Ignore air resistance and...

Hello, I should preface that we are not physicists. We are just a few relatively ordinary guys that committed to building a large pendulum wave (6ft tall, 8ft long). The construction went very well. The frame and the individual pendulum are all strung up. We have a rather ingenious rig that...

Can anyone explain the conversion of K.E and P.E during compression and expansion of spring and during the motion of pendulum ?

I've watched a video about ballistic pendulum problems. The illustration is : I wonder why the final energy is just a gravity potential energy. I think there is also a rotational kinetic energy (since it will rotate and oscillate) Is my thought wrong?

Homework Statement (a): Show the lagrangian derivative in phase space (b)i: Show how the phase space evolves over time and how they converge (b)ii: Find the fixed points and stability and sketch phase diagram (c)i: Find fixed points and stability (c)ii: Show stable limit cycles exist for T>ga...

Homework Statement A small ball of mass m suspended from a ceiling at a point O by a thread of length l moves along a horizontal circle with constant angular velocity ##\omega##. Find the magnitude of increment of the vector of the ball's angular momentum relative to point O picked up during...

I am doing a physics project whose purpose involves describing the physics behind a toy. The toy I have selected is a "decision maker" which is composed of a pendulum which has a magnetically charged ball on it that swings side to side, while having a force exerted on it by magnets which change...

hi pf! i am looking at a simply problem dealing with an upside down vertical pendulum of length ##L## having mass ##m## at the top. i believe my professor wrote that a torque balance yields ##m \ddot{\theta} = mg\sin \theta + f(t)## where ##f## is a torque (i think) and ##\theta## is the angle...

Homework Statement Hello. I was just wondering. You have a simple pendulum . string and a ball with mass at the end. We usually solve examples and we think about conversation of kinetic energy and potentional energy. I was just wandering if there is also something like vertical kinetic energy...

I have data from a pendulum and I am using it to work out the radius of the pendulum. I have acceleration in the x and y directions and so thought this would be easy enough. Simply I determine the (velocity in the x direction)^2/acceleration in the y direction. However when I use python to give...

Hi All, I use to teach wave theory and I like to discuss the example of pendulum waves, which is easy to find at internet, for instance, ). My question has to do with stating that this pendulum waves are not waves, for there is no physical connection between the oscillators...

I came across this problem which says" A pendulum is hung by roof of a train having mass 1 kg . The train then accelerates and pendulum makes an angle with vertical. What is acceleration of train? " Is it equal to gsinθ?

Hi everyone, I am trying to familiarize myself with Simulink by graphically drawing out differential equations, but ran into a snag with a double pendulum on a cart. Anyways, I neglect friction or other damping effects and say that From there I simply just sum the energies, which ends up...

Homework Statement Show that a simple pendulum bob which has been pulled aside from its equilibrium position through an angle ##\theta## and then released will pass through the equilibrium position with speed ##v = \sqrt{2gl(1-cos\theta)}##, where ##l## is the length of the pendulum. Homework...

in my AH physics investigation - measuring acceleration due to gravity, I used the bifilar suspension pendulum btw a light gate was used for the errors/problems section so far I have problems in making the rod level and keeping the two strings parallel, also all the random, calibration and...

completing my advanced higher physics investigation - measuring acceleration due to gravity for the oscillating mass on a spring experiment so far I have included friction between the nail & oscillating rod as a possible source of error can anyone think of anything else? thank you very much...

Homework Statement A pendulum oscillates 24.0 times per minute in a particular location. If the pendulum is 1.53 m long, what is the acceleration due to gravity there? Homework Equations T = 2π√ l/g The Attempt at a Solution I don't have one because i literally got into this unit. I am...

1.) Homework Statement A(n) 2.71 m long pendulum is released from rest when the support string is at an angle of 35.8◦ with the vertical. The acceleration of gravity is 9.8 m/s2 . What is the speed of the bob at the bottom of the swing? Answer in units of m/s 2.) Relevant equations Not sure...

Homework Statement Imagine two masses connected to each other by a string. One mass sits atop a table, while the other mass dangles below the table, as the string is fed through a hole in the center. The configuration looks like this...

Consider a pendulum in it's balance point hanging from ceiling. It can swing in all the directions in the space. The pendulum can only swing in a sphere(the string can't bend). Now, is it possible to release the pendulum in a particular height and with a initial condition that in the first...

Homework Statement You pull a simple pendulum of length 0.260m to the side through an angle of 3.50∘ and release it. Part A: How much time does it take the pendulum bob to reach its highest speed? Part B: How much time does it take if the pendulum is released at an angle of 1.75∘ instead of...

I'm just trying to think how I would expect radial acceleration to look like in a pendulum. I would expect a sine wave of sorts but instead of oscillating around zero I would expect it to be around a positive number as this acceleration is always in the same direction. Also if I was to compare...

Hello all, this is my first post here. I will try to phrase it as best I can, my physics background is weak, so please be patient, and thanks in advance for your help! I tried researching simple pendulums but couldn't quite find an answer. Suppose a person is suspended, prone, from a pendulum...

How do I find the amplitude of a pendulum with the given information: Length=0.5 m Mass=0.25 kg x=0.2 m k (constant)=12.25 N/m Thanks!

I've successfully modeled a quadruple linked pendulum in Mathematica. I've done a few interesting things with the simulation. I've shown angles vs. time, and how a tiny change in initial conditions result in a completely different, unpredictable path for the masses of the pendulum. I've shown...

nee help with project dealing with simple pendulum.I am supposed to be looking at the effect of changing the amplitude and how it affects the period. The requirements want to show some math( it does not include finding average and error). Need help. what could I show there. Like the time to...

Homework Statement I am trying to establish the the dynamics of an inverted pendulum for further analysis. I understand that this is a well known problem, but the governing equations in various sources are different and make it difficult to keep track of what forces are being applied on the...

Homework Statement We have a pendulum in thermal balance with the surroundings - no damping. We measure the speed of the pendulum. The accuracy of each speed measurement is known. How does the accuracy of the speed change, if we decide also measure the position of the pendulum with accuracy 10%...

Hi! Sorry if this is the wrong section to post this: I am doing a laboration on physical pendulums and I have a bit of trouble making sense of it all and I am in need of some guidance. When I do the analysis I get the standard mathematical pendulum. [T]=[m]^a*[l]^b*[g]^c, where a = 0, b = -c...

Homework Statement A simple pendulum of length ##b## and bob with mass ##m## is attached to a massless support moving vertically upward with constant acceleration ##a##. Determine (a) the equations of motion and (b) the period for small oscillations. 2. Formulas ##U = mgh## ##T = (1/2)mv^2...

The Attempt at a Solution It seems as though the rest point is at the ends of the pendulum swing. I know that the period of a pendulum is the time it takes the pendulum to make one full back-and-forth swing. I think this problem is wrong if the rest point means equilibrium point. Because then...

Homework Statement A bullet has a mass of 7.5 g. It is fired into a ballistic pendulum. The pendulum's receiving block of wood is 2.5 kg. After the collision, the pendulum swings to a height of 0.1 m. What is the approximate velocity of the bullet? m_{bullet} = 7.5g = 0.0075 kg m_{wood} = 2.5...

Homework Statement Given the system in the image below, I need to find the equation of motions for the coupled system. The surface where the block moves is frictionless. The red line is position where the block is at equilibrium. At equilbrium x1 and x2 = 0. After finding the equation of motion...

Homework Statement Given a pendulum with fixed length, at what angle does the pendulum have to be released at in order to not follow the standard formula for frequency? Homework Equations P = 2pi*sqrt(l/g) The Attempt at a Solution I know that this equation holds for "small" angles (theta <...

Homework Statement A conical pendulum with an unelastic tether has a mass of 4.25 kg attached to it. The tether is 2.78 m. The mass travels around the center every 3.22 seconds. What angle does the rope make in relation to its original position? m=4.25 kg T=3.22 s L=2.78 m Homework Equations...

Homework Statement a)The angle that the string of a long pendulum makes with the vertical is shown as a function of time. What is the angular frequency of the pendulum? b)What is the amplitude of the pendulum's motion, in meters? Homework Equations Angular frequency=sqrt(g/L)The Attempt at a...

Hello. I was told that "in QM the information doesn't disappear". Does it mean that, in QM, the trajectory in the phase-space can't split? [The typical example is a vertical simple pendulum, with the mass above the spin-point; in classical mechanics you can't know if the pendulum will fall one...

Homework Statement Damped driven oscillator: ruler example. Suppose the ruler used in the classroom demonstration has a length of 12 and 13/16ths inches, a width of 1 ½ inches, is 1/16th inch thick with a density of 1.2 g/cm3. It swings from a pivot point ¼ of an inch from the top end. a) Find...

Homework Statement A simple pendulum of length =30.0cm is released from rest from an angle of θ=10.0∘ to the vertical. Assuming that the pendulum undergoes simple harmonic motion, find its maximum speed. Source: https://isaacphysics.org/questions/accuracy_shm_pendulum_num Homework Equations a)...