Pendulum Definition and 1000 Threads

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...

An undamped pendulum of mass m = 10kg, and length L = 5m, is released at time t = 0 with an initial displacement θ(0) = 0.05 radians and an initial angular frequency ω(0) = 0.1 radians/s. I need to calculate the amplitude of the oscillations in radians, and the total energy of the oscillations...

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...

I am trying to replicate worms armageddon's ninja rope physics, it's simply a pendulum. But it has many problems.. I actually know period of a pendulum, angular speed etc.. but I need instantaneous acceleration, speed and how many forces are applied.. It will not be a simply pendulum because...

Homework Statement A pendulum consists of a particle of mass m at the end of a light rigid rod of length l, the other end of the rod being freely attached to a stationary point 0. Let e(t) be a unit vector pointing along the rod, so that the position vector relative to 0 of the...

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...

Homework Statement A simple pendulum of length 1m with bob mass 125g is pulled 15 degrees to the right and released at t=0.What are the phase constant and amplitude? Homework Equations θ(t)=Acos(ζt+phi) ---> my teacher gave us a weird symbol that I've never seen before, it has always...

Homework Statement [/b] An actor of mass 65.0 kg wishes to make a grand entrance onto a stage during a play. He attaches himself to a cable having length R=5.00 m. A stagehand gives the actor a push, imparting an initial speed onto the actor at heigh 1.5 m above the lowpoint of his ensuing...

Homework Statement A pendulum on Earth consists of a mass m suspended on a massless spring with equilibrium length d and spring constant k. The pendulum point of support is moving up with constant acceleration a. What is the Hamiltonian of the system? Derive the Hamiltonian equations...

one end of a light inelastic string is attached to a point A vertically above a point O on a smooth horizontal plane and at a height h above it. The string carries a particle P of mass m at its other end. WHEN JUST TAUT the string is inclined to the vertical at an angle S if P moves in a...

Hello, One or two years ago I had a mathematics lecture where one part of it was using basic formulae, a pendulum and the distance to the centre of the Earth to find out what the distance to the sun was. Recently, I came across a question which asked me to figure out the distance to the...

Homework Statement A pendulum consists of a massless rigid rod with a mass at one end. The other end is pivoted on a frictionless pivot so that it can turn through a complete circle. The pendulum is inverted, so the mass is directly above the pivot point, and then released. The speed of the...

Homework Statement A simple pendulum with mass m = 1.7 kg and length L = 2.42 m hangs from the ceiling. It is pulled back to an small angle of θ = 8.6° from the vertical and released at t = 0. Qn: What is the maximum speed of the pendulum? Homework Equations θ=θmax*cos(ωt+∅) The...

Homework Statement The usual formula for the period T of a simple pendulum of length l is T=2\pi\sqrt{\frac{l}{g}} where g is the acceleration due to gravity. Denoting rhe inertial mass of the pendulum bob by m_{i} and its gravitational mass by m_{g}, derive an alternative expression for T in...

Hey folks, I just wonder how you guys think about this. Assume that there is a spring pendulum rotating at hinge (Free swing or forced swing). In this case, can I calculate force transmissibility (transmitted force amplitude to ground via spring devided by centrifugal force amplitude) ...

Homework Statement A simple pendulum of length L is pulled aside to angle θm then released from rest. For arbitrary angle θ on the path of motion the acceleration along the path is -gSinθ. The speed at this point is V(θ)= √[2gL (cos θ - cos θm)]. Find the period T of the pendulum (do not...

[b]1. A pendulum of mass m hangs from a weightless string of length l The string makes an angle θ with the vertical Find (i) <θ> (ii) <θ^2> (iii) <v> (iiii) <v^2> Homework Equations The Hamiltonian in terms of θ and the angular momentum L= H= L^2/2ml^2 + mgl(1-cosθ) The...

Homework Statement with frequency as the dependent variable, plot graphs of frequency versus (i)Amplitude, for a length of cm and a constant mass (ii)mass, for a length of 100cm and constant amplitude (iii)length, for a constant amplitude and constant mass. Homework Equations i think i got one...

some device or contraption to measure point impact velocity - ballistic pendulum ? i hope you guys and gals can point me in the right direction for a prototype i am working on. I am looking for a device that measures impact velocity. much like a ballistic pendulum only much sturdier than the...

Homework Statement i did my experiment on torsion pendulum and there is a graph that i am supposed to draw ( C as a function of 1/L) where C is the tosion constant and L the length of the wire after that they give me a formula C=1/32L *∏*G*a^4 where G is called the modulus of rigidity and a...

i just want like 3 to 4 lines about the history of torsional pendulum like who started with it and what is it used for?? please quick reply

Hello Im new here, I hope I'm not disturbing anyone. Following this guide below, I am trying to find two 2. order differential equations, one for q1'' and one for q2'', describing the movement of the double pendulum. I have no problems with the mathematics, but when the guide tells me to...

Homework Statement See problem here: http://i184.photobucket.com/albums/x153/spl10246/problem.png Solution: http://i184.photobucket.com/albums/x153/spl10246/solution1.png http://i184.photobucket.com/albums/x153/spl10246/solution2.png Homework Equations p = m * v K = .5 * m *...

So I'm working on homework, and encountered this problem. I thought I understood what to do, but I'm not getting the right answer. I'm so frustrated I decided to create an account, so this is my first post. I'll do my best to adhere to the PF format of questions. The Question is: A pendulum...

Homework Statement Assume all oscillators are frictionless. a) A pendulum consists of point mass Mo swinging on a massless string of length Lo, with period To = 9.42 s on the surface of the Earth (at RE, the radius of the Earth). Find T1, the period of the same pendulum if it swings on a...

Homework Statement A 2.0 m pendulum is released from rest when the support string is at an angle of 25 degrees with the vertical. What is the speed of the bob at the bottom of the string? Homework Equations KE=1/2mv^2 PE=mgh The Attempt at a Solution I thought that height would...

Homework Statement A simple pendulum consists of a bob of mass 1.8kg attached to a string of length 2.3m. The pendulum is held at an angle of 30° from the vertical by a light horizontal string attached to a wall. If the horizontal string is cut close to the bob and the pendulum swings down...

Homework Statement The physical pendulum shown on your paper is a 27.0 kg wedge of a circular disk of uniform density with radius, R=1.87 m and opening angle β=0.847 radians. The pivot point of the pendulum can be moved along the center line of the wedge as shown on your paper...

I am getting confused regarding what a 'period' in a pendulum is. In a recent Olympiad/Exam I was given this question... Can you please give me the method in which it can be done so that I can solve these type of questions with ease if they appear in future... Thanks :smile: A Pendulum...

Homework Statement What is the connection between simple harmonic motion and pendulum motion? Homework Equations Harmonic motion period=T=2piroot(m/k) Pendulum motion period=T=2piroot(L/g) The Attempt at a Solution Conservation of momentum?? Thanks for any help!

Homework Statement Does it matter whether you measure the length of the pendulum to the center of mass of the ball or to the bottom of the ball Homework Equations T=2pi*root(L/g) The Attempt at a Solution I can see that L (length) is a factor, but I'm not sure why it matters...

Alright, I did all the work for this problem, but do not know the correct answers and therefore cannot check my work with 100% confidence. So if somebody could look it over and let me know if I did everything correctly or not, I'd appreciate it. The answer I calculated for part e seemed kind of...

Homework Statement Part c: A pendulum is attached to a 0.15m wooden bar sticked horizontally to a table by a string of 0.12m. If the system is revolved with a revolution speed of 1.5 rev per second, what is the angle θ the pendulum make with respect to the vertical axis? Homework...

a pendulum of length 'L' having a mass 'M' attached as it's bob and it oscillates with a time period 'T'. what will be the force tangential to the pendulum 1. just above the point of suspension of the pendulum 2. at a distance 'r' below the point of suspension

Homework Statement I need to find the phase difference between two pendulums. My problem is that I don;t seem to have enough information to calculate the phase for the second pendulum (I have already calculated the phase for the first). The pendulum is 0.35m long, and is at 0.00rad at...

Homework Statement A 1.00 kg pendulum hanging from a length 1.50 m starts horizontal to the ceiling and swings (until it's perpendicular to the ceiling) to hit a 4.00 kg block. The coefficient of friction is .30. a) What distance does the block travel? b) Assuming there is no friction...

Homework Statement Using the slope from a graph of the square root of the pendulum's length vs period (which would be a linear relationship), calculate the experimental acceleration due to gravity. Homework Equations I'm trying to figure out what equation I can use to solve for 'g'...