Pendulum Definition and 1000 Threads

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...

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...

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...

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...

Homework Statement Inverted pendulum on a cart on a frictionless surface, write the state-space description of a nonlinear system. outputs are theta(t), theta'(t), y(t), y'(t). Everything is 2-dimensional. Homework Equations theta(t) is the angle between the gravity vector and pendulum y(t)...

A 2 kg pendulum bob on a string that is 3m long is released with a velocity of 1 m/s when the support string makes an angle of 30 degrees with the vertical. What is the tension at the highest point of its motion? The Attempt at a Solution Ok so using Newton's second Law, the equation should...

Can someone explain how they got the term with the red box I understand the kl/2 but not the sin and cos part **Question** Consider the inverted pedulum connected to two equal springs both with constant k. Springs are undelfected when the mass is in the verticle position. If the rod is of...

Homework Statement A 0.010 kg pendulum bob is dropped from a height (h) above its equilibrium position. When the bob reaches its equilibrium position, the string breaks and the bob now acts as a projectile. After the string breaks the bob falls 1.5 m while moving 2.0 m horizontally...

Homework Statement You and your friend sit on the same swing and oscillate about the equilibrium position. Your friend falls off the swing exactly at the highest point (largest amplitude). What will happen to the amplitude and frequency of your oscillation ? (a) the amplitude stays the...

Homework Statement A 319g ball is tied to a string. It is pulled to an angle of 7.60 degrees and released to swing as a pendulum. A student with a stopwatch finds that 14 oscillations take 13.0s. What is the length of the string? Homework Equations I have already tried using T = 2pi...

I am a bit hung up on this fact. Say you have a pendulum and you want to derive its equation of motion. In doing this you will have to look at the force from the weight on the end of the string. If you are using cylindrical co-ords this is what you get for Fg (sorry I don't have the diagram)...

Homework Statement The aim of the experiment is to find out if the period of oscillation is proportional to the square root of the length of the pendulum. We used 5 different lengths and got the average time for 1 oscillation for each length These are the results: Length=48cm, Time=1.33s...

Homework Statement A 2.0kg bob of a pendulum is held at an angle of 55 degrees from the vertical. When released it reaches a maximum speed of 3.5m/s. What is the length of the pendulum arm? Homework Equations Ek = 1/2mv^2 Ep = mgh The Attempt at a Solution 1/2 * 2 * 3.5 ^ 2 =...

Homework Statement This problem is from the 1992 GRE. A tube is free to slide on a frictionless wire. On each end of the tube is attached a pendulum. The mass of the tube is M. The length and mass of the pendula are l and m, respectively. Homework Equations It is given that one of the...

Homework Statement I am trying to understand where the forces in the inverted pendulum comes from starting with this horizontal force equation: http://www.engin.umich.edu/group/ctm/examples/pend/inveq2.GIF It is associated with this picture...

Can the ideal pendulum, i.e. massless string etc., be explained using torque?

A pendulum on some moon has a length of 1.5meters and a period of 4.2seconds. On Earth a girl throws a rock 13meters in the air, if she was on that moon how high would that same rock go if she threw it with the same effect? (Ignore all air resistance)

Galileo's pendulum could have shown that local time is relative Making experiments with pendulums Galileo discovered the following properties: - Pendulums nearly return to their release heights. - All pendulums eventually come to rest with the lighter ones coming to rest faster. -...

Which of the two is a better expression for the time period of a simple pendulum? t-=2∏\sqrt{(l/g)} or t=2∏\sqrt{(1/T/m)} ; l=length of the pendulum T=time period of the pendulum m=mass of bob...

Homework Statement A physical pendulum oscillates through small angles about the vertical with the angle, measured in radians, obeying the differential equation d2θ/dt2 = -4πθ. What is the period of the oscillation? Homework Equations T = 2π √(L/g) The Attempt at a Solution I...