Pendulum Definition and 1000 Threads

1. In the figure below, a book is suspended at one corner so that it can swing like a pendulum parallel to its plane. The edge lengths along the book face are 28 cm and 19 cm. If the angle through which it swings is only a few degrees, what is the period of the motion? 2. I=(ML^2)/12...

How to use the formula for a rigid pendulum? Given the formula T = 2π√(2L/3g) (1) how do you change to get T^2 = ? (2) And then how (1) to get g = ? Here's what I've tried, but I'm not sure if they are correct: (1) T^2 = 4π^2 x (2L/3g) (2) g = [4π^2 x (2L/T^2)] ÷ 3 (3) The experiment...

i just started studying special theory of relativity and am confused a lot. its first consequence,that is moving clocks run slow confuses me a lot. if two events happen then the time difference between them as measured by a clock in a frame moving at .9c would be lesser than the time measured by...

Homework Statement A pendulum consists of a uniform rod of mass m and length l hanging from the bottom end of a light rod of length l which top end is fixed to the ceiling. (see file attached) System moves in a vertical plane. Find equations of motion. Coordinates of the center of mass...

I Need help...I'm not getting the value of "g" correctly..please someone help/ This is a pendulum experiment to find "g". S L EL T TT T^2 G...

A pendulum consists of a uniform thin rod of mass 5 kg and length 2 m to which is fixed a circular disc of mass 8 kg and radius 0.4 m. There is a pivot at one end. (a) Find the CoM and Moment of Inertia when the disc is: (i) half way along the rod; (ii) at the opposite end of the rod to the...

I am designing a pendulum impacting device for an experiment. The pendulum will impact a cart on a track. I'd like to calculate theoretical kinetic energy values for the pendulum at the point of impact. The pendulum is made of a hollow aluminum bar, with a steel plate bolted on at the bottom. I...

A pendulum of length L swings from rest at a starting angle of θ from the vertical. Assume the mass is concentrated at the end of the pendulum; find its momentum at its lowest point. Please help, thx:)

Homework Statement Consider an inverted pendulum system as described in https://en.wikipedia.org/wiki/Inverted_pendulum. The system consists of a cart with mass M to which a pole of length l and mass m is affixed via a pivot point. Forces applied to the cart move it along a track. At any point...

Homework Statement By resolving forces horizontally and vertically and using Newton's second Law, find an expression for the angle swung out of a Chair-o-plane ride. Im just not really sure how to resolve the forces vertically and horizontally. Homework Equations So far I know that...

Conical pendulum question help!? Homework Statement By resolving forces horizontally and vertically and using Newtons second law, find an expression for the angle swung out. You must use calculus where needed. Use this analysis to answer questions 1-3 Q1: Will a child swing at a greater...

Homework Statement In physics class, we were given a task to investigate a factor that affects the period of a torsional pendulum. I imagined having a setup where a massless rod would be suspended horizontally from a retort stand using a string secured to the middle of the rod so it would...

The mass of the pendulum bob was determined on an electronic scale and its diamter was measured using calipers. The initial height was measured with a meter stick. At the lowest point of its swing, the pendulum bob broke a photogate light beam. The time interval that the light was interrupted...

Linearization of Lagrange EOMs of an Inverted Pendulum Hi Folks, I am modelling a state space model of an Inverted Pendulum mounted on a cart over a balancing seesaw. I developed the equations of motion using the Lagrangian approach an obtained 3 PDEs. I solved them using Mathematica 8...

Homework Statement Please see attached photo. It is problem 54. My difficulty is that I am not sure if I marked out the correct forces in the work-force equation. Without the height, I can't find the angle. I was going to use the formula: Δx=radius (times) Δθ However, I'm not even sure this is...

Homework Statement What's the period to a 1 meter long physical pendulum string where L = 1M T=2∏√((2L)/(3g)) = 1.64s But, I did my own experiment, and the higher I dropped the pendulum the longer it took for it to travel 1 oscillation. What is going on here? Homework Equations...

Homework Statement See attachment "question" Homework Equations The Attempt at a Solution See attachment "work" I did the work for (1) and (2). I end up with two equations: the first is the tension T, the second is the angular acceleration. I'm not so sure if I made any...

Homework Statement See attachment "problem" Homework Equations Euler's laws of motion (moment equations), work and energy equations The Attempt at a Solution See attachment "work" I did the work for (1) and (2). I end up with two equations: the first is the tension T, the second...

Homework Statement A cylindrical metal bar of length L hangs by two strings in a horizontal position. The metal bob of a simple pendulum hits one end of this metal bar in a direction perpendicular to the crossection of the bar. Find an expression for the time t of contact during the impact...

Hi. I'm trying to make a small simulation of several simple physical systems (C++). I have the differential equation of a spherical pendulum with only the gravity force and without friction. \theta'' = \sin(\theta) (\cos(\theta) \phi'^2 − \frac{g}{L}) \phi'' = −2 \cot(\theta) \theta' \phi'...

Homework Statement Attempting a mechanics problem from Landau's mechanics (3rd edition) I get a different answer, as shown below. Error by me, or typo in the textbook? I can't find any errata page for the text, but since it's an older book, perhaps no such page is maintained. Chapter 1...

Homework Statement What is T=2pi[(sqrt)l/g] rearranged for l= ? Homework Equations The Attempt at a Solution Ive tried a few but I just don't know how to do this with sqrt's of a fraction involved.

After finding the equations of motion of a pendulum in an accelerating cart: \ddot{\phi} + \frac{acos\phi +gsin\phi}{l}=0 ,the method that Taylor uses in Prob 7.30 for finding the small angle frequency, is to rewrite \phi as \phi_{0}+\delta \phi. Then you can use a trig identity in the...

Homework Statement Consider, as shown in the picture, a penulum of mass m=0.52g, hanging on an ideal rope of length l=0.31m. A force is exerted to this pendulum as shown in the picture. The horizontal component of the force is: \displaystyle {{F}_{x}}={{F}_{0}}\cos \left( \omega t \right)...

Homework Statement https://fbcdn-sphotos-a.akamaihd.net/hphotos-ak-prn1/540902_3288133970847_49118976_n.jpg Homework Equations t = 2\pi \sqrt{}\frac{l}{g} The Attempt at a Solution for t t = 2\pi \sqrt{}\frac{l1}{g} t = 2\pi...

I'm currently preparing for a classical prelim and am concerned that this problem may not be correct. I'm second guessing myself due to the hint given in the problem, which I did not use. Any help is more than appreciated. A picture of the pendulum is included. Homework Statement A...

Bifilar Pendulum: Need help with formulas now... Homework Statement So I have an assignment where I have to determine the relationships between the period of a Bifilar Pendulum. I performed an experiment where the angle was set to 20 degrees, the ruler tied to the strings is twisted, and then...

Heyy guys, I have and EEI to do on a bifilar pendulum. Essentially a bifilar pendulum is acheived by two parallel strings instead of one. I have already built the device but don't know how the motion should be. Shourd it be farwards adn backwars? or side to side? or rotate? Thanks in advance:)

I've seen in many sites that a pendulum restoring force Fnet = mg sin theta... Why did we actually get the vector direction of the weight and not the vector of the tension.. Simply, as in centrepetal force.. It would be Tsin theta would be the net restoring force? Thanks!

Homework Statement Hi Guys I obtained a slighty different answer. Can anyone kindly verify where I am going wrong? The question is stated thus: A simple pendulum is of length 0.5m and the bob has mass 0.25kg. Find the greatest value for the tension in the string when the pendulum is set...

I have been trying to come up with a solution for the matter but I failed, so here are my questions. I would appreciate if someone explained thoroughly. a) There is a pendulum which has a period of 20 seconds on Earth. If it was put on a vehicle moving at 0,6c and have its period measured...

I've got a pendulum practical assessment to do tomorrow and I want to prepare for it as much as I can. I've already practiced for setting up the equipment properly and performing it and stuff like that. So now, I want to prepare answers for all possible questions I can be asked at the writing...

when we half the length of simple pendulum what will be its time period?please reply

"Power of the Pendulum - Proof of Ultra-Efficiency?" This video could be shorter, but if you have extra time on your hands take a look. He's got a pendulum mounted on a stand that is not fixed to the table. When he blocks the pendulum from swinging and strikes the apparatus the whole moves a...

Homework Statement I struggle to write equations of motion for spherical magnetic pendulum. The forces acting on the pendulum are: gravity, tension in the rope, and 4 repelling forces Here is the picture for the problem: first attachment (I didn’t add forces to not mess it up) There are...

Homework Statement this is an experiment from lab.. i have pendulum - mass (iron) hanging from a massless cord. under the mass there is a magnet. the movement of the pendulum is in a small angle. i repeat the experiment 5 times - each time in a different distance between the iron mass and...

In particular, a symplectic integrator to solve: \ddot{\theta} + \dfrac{g}{l} \sin(\theta) = 0 I'm currently using velocity verlet - by realizing that \ddot{\theta} = -\nabla (-cos(\theta)) = A(\theta(t)) ie. letting x = theta v = dtheta/dt a = d^2 theta /dt^2 is it safe to apply verlet...

Homework Statement A very light rigid rod with a length of 0.062 m extends straight out from one end of a metre stick. The combination is suspended from a pivot at the upper end of the rod as shown in the following figure. The combination is then pulled out by a small angle and released...

Homework Statement "A pendulum is released from a height of h metres. At the equilibrium point the resultant force on the pendulum is zero. Explain why the pendulum continues to oscillate in spite of this" [3 marks] Homework Equations The Attempt at a Solution So I presume that...

Homework Statement A circular pendulum of length 1.2 m goes around at an angle of 25 degrees to the vertical. Predict the speed of the mass at the end of the string. Use g = 9.8 m/s2. Answer in units of m/sHomework Equations 1/2mv^2 = mgh h = L - Lcosθ The Attempt at a Solution I used the...

Homework Statement A ballistic pendulum is a common device that is designed to measure the speed of small projectiles. As shown in the sketch on the right, it is composed of an initially stationary metal "cage" which traps the projectile and is suspended vertically by a very light weight rod...

Homework Statement (a). Find the critical points (b). Linearize the system and determine local stability (c). Find a Liapunov Function (Hint - Use total energy) (d) Use the Liapunov Function to conclude that the critical points are stable. (e.) Use the LaSalle theorem to argue that every...

You have a pendulum with a 100 ft radius and 200 lb weight. The weight is dropped at the same height as the anchor point 100 ft away from anchor. How do I calculate the tension that will exist on the line? Also, are there any other forces involved here? I need to calculate this to make sure I...

This problem is about the Foucault pendulum. It is a mass, m, attached to a cable that does not restrict the motion. So it is sensitive to centrifugal and coriolis forces. The first part states that it has a potential ## V = \frac{m \omega_0^2}{2}(x^2 + y^2)## and to find the force associated...

Hello guys, this is my first post so if I have something done wrong, please tell me. :P When we come across with pendula, they are all with rigid rod, whether with mass or not. I wonder if the pendulum has a non-rigid string which can estimate the motion of string when the pendulum rises...

Homework Statement For a mathematical pendulum, you notice that if you extend the string with 60 cm, then the time of one period will double for small oscillations. What was the period of time before the line was extended?Homework Equations T=2pi*sqrt(l/g) where l is the length of the...

I am pursuing bachelor in engineering.i have a case study involving the stabilization of an inverted pendulum about it's unstable equilibrium point. My problem is that I have to digitalize my system before i can implement it. Can anyone tell me how to digitalize the system.

You can treat the cable as another rigid bar in this case, both massless. I just need the equation for the Kinetic Energy of the mass on the end. Is there an equation for if the main bar is torqued at a given τ(t), and any other necessary information is given, to find the position of the mass...

Homework Statement http://screensnapr.com/v/tC6gC3.jpg Homework Equations Im guessing: Centripetal Acceleration = v^2/r PE = mgh KE = .5mv^2 The Attempt at a Solution I tried to convert the givens into velocity by using .5mv^2, but that does not work.

Little help in compound pendulum Homework Statement there is an equilateral triangle T with sides of length B. Suspend this triangle from a pivot throught on of its corners, so that it is free to swing about this corner in the plane of the tringle. I want to ask how to compute the density...