Pendulum Definition and 1000 Threads

Homework Statement Two pendulums have the same dimensions (length ) L and total mass (m). Pendulum A is a very small ball swinging at the end of a uniform massless bar. In pendulum B , half the mass is in the ball and half is in the uniform bar. A. Find the period of pendulum A for small...

Elongation of a pendulum? Not really a specific question just something in general. When discussing simple pendulums (a ball on the end of a string) or any system involving strings, my textbook always refers to something as the "elongation" of the string? Before this, I had never heard...

I hope this is the right place to post. I am trying to simulate an inverted pendulum as seen in the picture using simulink, it is supposed to balance by applying momentum with a DC-motor. I have used the equation in the picture to make the block diagram and the result of the running the...

Homework Statement I did a lab today in Physics in which we launched ball from a spring loaded cannon directly into a pendulum that captured the ball, held it, and swung upwards with it (representing a totally inelastic collision). One question that confuses me: > How much work did you do in...

Homework Statement If we attach a pendulum to the roof of a car and drive the car in a circle, why does the circle swing outwards away from the center of the circle. Homework Equations The Attempt at a Solution I don't understand the idea that inertia causes this, can some 1...

Homework Statement http://img13.imageshack.us/img13/5793/84188411.jpg Homework Equations Find a condition on b such that x = 0 is a local minimum of the potential function. The Attempt at a Solution To find local minimum, potential function (V) of the system should be written. V...

Hello, I'm trying to create a model of pendulum motion in Matlab to fit the curve we measured in class, and it has some non-linear components (friction). It looks like the best fit is a sinusoid with an envelope given by a parabola (see attached file). The equations of motion are given by...

θθHomework Statement A simple pendulum of mass 20.0 g is suspended by a length of string 1.0 m. It is pulled from equilibrium so that it's raised 10.0 cm and released. Angular position given by θ(t)=θmaxcos(ωt+∅) What is the period? What is the maximum velocity of the pendulum? What is the...

Homework Statement A particle of mass 6 kg is attached to the centre B of a light inextensible string of length 10m. One end of the string is attached to a point A and the other end to a point C which is distance 8m directly below A. The particle is moving in a horizontal circle, with both...

Homework Statement A pendulum consists of a stick of length L and mass M that is pivoted about its center, and attached to a pair of springs of stiffness k. As shown in attached pic, the springs are symmetric about the pivot, and the distance between them is l. a) Find the natural...

Homework Statement Homework Equations Ac= V^2/R Theta is made by the upwards component of tension and tension itself. The Attempt at a Solution I know Sum of all forces = MA. Though for circular motion you always subtract the bigger number by the smaller one (bigger one being the force...

I have to calculate the small oscillations around the equibrillum position. My question is only that is this a physics pendulum so i can use the formula T=2\pi\sqrt{\Theta/mgd} , where d is the distance of the mass centre and the pivot and \Theta is the moment of inertia of the pendulum about...

Homework Statement Why is the attachment true? (It's from my notes) Homework Equations General centre of mass equations The Attempt at a Solution Really not sure how the lecturer did this. It's quoted as if it's obvious but I don't see it at all, this has been annoying me for a...

Homework Statement Consider a pendulum of mass m and length b in the gravitational field whose point of attachment moves horizontally x_0=A(t) where A(t) is a function of time. a) Find the Lagrangian equation of motion. b) Give the equation of motion in the case of small oscillations. What...

Homework Statement The string in Fig. 8-35 is L = 120 cm long, has a ball attached to one end, and is fixed at its other end. The distance d to the fixed peg at point P is 75.0 cm. When the initially stationary ball is released with the string horizontal as shown, it will swing...

if i have two forces acting at two different angles at a same spot will the addition of the moments of the two forces be the same as the moment whereby i take the net force of the two forces and get the moment of the net force of the same two forces? is there a way to explain why for the same...

Homework Statement A 10g bullet moving at 300.m/s hits and passes through a 2.20kg pendulum target. After the impact, the 1.20m long pendulum rises up to an angle of 15 degree, find the final speed of the bullet. Homework Equations Ek= 1/2MV^2 Ep= MGH Momentum = MV The Attempt at a...

Homework Statement A physical pendulum consists of a small 1.5kg mass at the bottom end of a uniform 1.00m long 1.5kg stick swinging about its upper end. The moment of inertia of the pendulum about its upper end is 2.00kg*m^2. What is the angular frequencyHomework Equations sqrt(mgd/I)=w I...

Homework Statement I have to derive Newton euler equations of an inverted telescopic pendulum with two links. I will use this model to simulate biped walking. The leg link is assumed to be massless and it carries the body link. The model at final stage should be 3d. In 3d case the hip namely...

Hi,I want to design a crude pendulum impact device which i can use to measure initial velocities of objects on a frictionless surface. i.e measure energy at the start and end of the pendulums swing, to see how much has been absorbed into the impact. Heres my question about momentum on...

Homework Statement A ball (mass M: 0.250kg) is attached to a rope (length l: 1.69m) that is fixed to a point somewhere. The ball is spinning in a circle around the support point so that the rope makes an angle 37 degrees from the vertical. I have to find the magnitude of the angular momentum of...

Urgent! Pendulum problem elastic collision Homework Statement An elastic ball (A) with mass m is released from a horizontal position, connected via a massless string to a rod. When the ball reaches the bottom, it collides with another elastic ball (B) of twice the mass, aslo connected...

Hi all, i have a question relating to the period of pendulum. I got this question: A bob of mass 0.5 kg is suspended by a string from the ceiling inside a train moving on a straight level rail (to the right). If the train has an acceleration of 0.2g, what is the tension in the string when the...

Homework Statement A clock’s pendulum is 60 cm long with a bob at the end of mass 500 g. Determine the maximum tension in the pendulum rod when the bob is b) swinging at a speed of 2.4 m/s Homework Equations v^2 / r = ac The Attempt at a Solution 9.8m/s^2 = g (2.4)^2 / 0.6 = 9.6m/s^2...

You pull a simple Pendulum of length 0.240 m to the side through an angle of 3.5 degrees and release it. (a) How much time does it take the pendulum bob to reach its highest speed? (b) How much time does it take if the pendulum is released at an angle 1.75 degrees instead of 3.5 degrees?

Homework Statement A uniform rod AB of mass M and length 2l attatched to a slider at A which is constrained to move along a smooth horizontal wire. The rod, which is subject to gravity, is free to swing in the vertical plane containing the wire. Using Ω (the angle between rod and vertical)...

A pendulum of length, b, and bob with mass, m, is attached to a massless support moving vertically upward with constant acceleration a. Find the equation of motion. This problem is easy with the help of Lagrangian dynamics: bθ''+(g+a)θ=0 But how to solve this problem using Newton's...

Homework Statement A uniform rod AB of mass M and length 2l attatched to a slider at A which is constrained to move along a smooth horizontal wire. The rod, which is subject to gravity, is free to swing in the vertical plane containing the wire. Using Ω (the angle between rod and vertical)...

Homework Statement Linearise T=2pi√(K^2 + h^2)/gh K is known constant This is a compound pendulum equation, I want to plot some kind of formula with variable T against some kind of formula with variable H in order to find g from the gradient. Homework Equations The Attempt at a...

Hi! Why it is necessary to has angle in radians for SHM(Simple pendulum)?

Homework Statement Use the E-L equation to calculate the period of oscillation of a simple pendulum of length l and bob mass m in the small angle approximation. Assume now that the pendulum support is accelerated in the vertical direction at a rate a, find the period of oscillation. For what...

Homework Statement The Attempt at a Solution I used conservation of momentum for the initial velocity of mass 2, and conservation of mechanical energy for the movement from rest to highest position, KE=PE. The answer that I received is selected in the screenshot. However, when the...

Hey, I was wondering how to go about a pendulum problem, basically if we have a clock pendulum that oscillates with period 2s unaffected; if we add a large mass on the floor, so that the pendulum experiences some small extra gravitational force towards the floor. Now I have determined this...

Hi, I'm interresting about the weight of the support of the pendulum with an initial speed. It is the http://en.wikipedia.org/wiki/Pendulum but with an initial speed. The mass come at top with straight initial speed and after turn around the pendulum. I attempt to have the weight of the...

Homework Statement I need to develop an equation for the damping factor with respect to time for a pendulum that consists of a spherical mass attached to a string that is damped by air resistance. Homework Equations We are given that the curve fit for the drag coefficient is...

I am trying to determine the velocity of a ball fired horizontally from ballistic pendulum. The data is as follows: ball mass: 62.2 g spring mass: 14.7 g rod mass: 89.3 g length of spring: 126.1 mm initial spring length: 5 cm compressed spring length: 1 cm k: 2.05 N/m calculated from...

Homework Statement This is for a lab, which I'm working on at home. There are two parts: using Mathematica to simulate a magnetic pendulum with 3 magnets by plotting the path of the bob and then extend my code to determine where the bob endpoint for all starting positions and draw the fractal...

Homework Statement Not really a homework question, just want to check out if what I'm doing is right. I challenged myself to find the equation of motion and the forces in the simple pendulum system but with using the Lagrange multipliers and the constraint equation.Homework Equations In next...

Homework Equations Theory for Kapitsa pendulum predicts that the motion consists of 2 parts: x(t)=X(t)+ x˜(t) (1) With fast oscillations: x˜(t)=−AX(t)sin(wt) /(w^2) (2) and a slowly varying motion X(t) which satisfies the following equation, X''=(1−(A^2)/(2w^2))X (3) Homework Statement 1...

Homework Statement In an ore-mixing operation, a bucket full of ore is suspended from a traveling crane which moves along a stationary bridge. The crane is traveling at a speed of 3 m/s when it is brought to a sudden stop. Determine the maximum horizontal distance through which the bucket...

1. A building is to be demolished by a 400kg shell ball swinging on the end of a 30.0 m steel wire of diameter 5.00 cm hanging from a tall crane. As the ball is swung though an arc from side to side, the wire makes an angle of 50° with the vertical at the top of the swing. find the amount by...

Hi guys, Sorry if I've placed this on the wrong board. The blurb says the problems posted here should be math-based, but I wasn't sure of where else would be appropriate. Homework Statement I am tasked with designing an experiment for my second-year experimental physics class which...

Homework Statement Greetings! This is an example problem at the end of Chapter 1 in Mechanics (Landau): A simple pendulum of mass m whose point of support oscillates horizontally in the plane of motion of the pendulum according to the law x=acos(\gamma t) . Find the Lagrangian...

Homework Statement A pendulum is released at A and caught by a peg as it passes through the vertical, B. To what height will the bob rise on the right?Homework Equations None givenThe Attempt at a Solution I really am unsure about how I am supposed to figure the height when no numbers were...

Hey guys, I've been trying to find out about the expected effect of acceleration and/or motion on a pendulum clock; I asked this question in the mechancial engineering section of PF but didn't get any replies. It pertains to Einsteinian relativity also, specifically the effect of motion on...

Homework Statement A mass m is attached to one end of a light rod of length l. The other end of the rod is pivoted so that the rod can swing in a plane. The pivot rotates in the same plane at angular velocity \omega in a circle of radius R. Show that this "pendulum" behaves like a simple...

Homework Statement a 1.5 kg pendulum bob swings in a vertical circle at the end of a 2m long string with negligible weight. If the bob is dropped from a height in which the string is horizontal and taut, what is the angular momentum at the bob's lowest point (in kgm/s^2)? a 40 b 10 c 30...

I hope this is the right place for this kind of question - please forgive me if it isn't. I am wondering about the expected effect of acceleration and/or motion on a pendulum clock. It pertains somewhat to relativity theory, but [to my understanding] it is equally a mechanical engineering...

Homework Statement As a small verification of a larger problem, I'm trying to determine how the dynamics of an inverted pendulum attached to a frictionless cart would behave. The cart has no input force applied, so all horizontal movements would be due purely to the centrifugal+normal...

I need to experimentally calculate gravity (g) with an extreme precision (+/-0,005). We thought about trying an Atwood Machine but too many problems were related to it so we've decided to switch to an Simple Pendulum (with a very long L). What are the problems related to the Simple Pendulum...