Pendulum Definition and 1000 Threads

The physical pendulum is an object suspended from some point a distance d from its center of mass. If its moment of inertia about the center of mass is given by: I= Icm + Md2 where d is the distance from the pivot to the center of mass of the pendulum. Consider that some odd-shaped physical...

The thought came to my mind yesturday : does not Earth in its movement looks like pendulum tied to the Polaris ? Only the very long one - comparable to an object swinging about 1 cm circle at a tie of about 15 000 km (if my quick calculations now are correct).

Homework Statement The problem states that a pendulum is attached to a spring that can only oscillate in the vertical direction. I am supposed to derive equations of motion for the spring/pendulum system under my chosen generalized coordinates.Homework Equations Lagrange equations of motionThe...

Homework Statement A small ball is attached to a massless rod at one end. The other end is hinged such that the rod can swing freely in the vertical plane. Find the time taken by this system to rotate from horizontal position to vertical position. Length of rod = L Acceleration due to...

Hello, I have a few newb questions. How can I graph the behavior of a double pendulum in Mathematica to make strange attractors like in the Lorenz equations?

Hello, This is my first post on this forum, so please excuse me if I am not clear enough. I have recently been fascinated about chaos and decided to learn about the equations of motion in a double pendulum. I am in high school and have been so interested about chaos and its equations of motion...

I've been looking at some Wave Pendulums on YouTube, and thought it'd be fun to emulate one using HTML5. I got some pretty interesting results, but am looking for suggestions for improvements. Have a look at it here... http://www.keasoftware.com/experiment/pendulum_wave.html A lot of...

Homework Statement If a pendulum is shortened, does its frequency increase or decrease? What about its period? Homework Equations The Attempt at a Solution I think that the frequency will increase because the length of the string will now be shorter. As far as the period I...

Hi guys, I'm having troubles finding how to write the potential energy of a 1D pendulum down. In terms of displacement however. This should be easy and it is, but my professor had this nice "clean" solution whereas mine is really dreadfull, any help? :) edit: Ok nvm guys. I was thinking I went...

So what I've got is a ball on a string hanging against a wall. When lifted and dropped, it forms a sort of half pendulum motion, but it looses energy very quickly as compared to a full pendulum. I need to calculate energy loss on each bounce, given only the time between each bounce. The solution...

Homework Statement A simple pendulum has a length of 75 cm and a bob of mass 0.6 kg. When the string is at 30 degrees to the vertical, the bob has a speed of 2 m/s. What is the maximum speed of the bob? The Attempt at a Solution The main idea I had was that the velocity of the bob...

Homework Statement It is possible to determine the mass of a planet or large moon by using a ‘pendulum bob’ horizontal circular motion experiment. A cosmonaut on the moon finds that a 25 cm long ‘pendulum bob’ moving in uniform horizontal circular motion makes an angle of 22° to the vertical...

Homework Statement A body of mass m hangs by a light inelastic string of length a from a body of mass 3m which in turn hangs from a fixed point O by a string of length a. The masses are confined to motion in a vertical plane through O. Denote the horizontal displacements of the two particles...

At the bottom of the following website are the 4 equations that I am using for a double pendulum simulation. http://scienceworld.wolfram.com/physics/DoublePendulum.html The equation for C2 has the variables P1 and P2 and I can't work out what they are.:confused: Is it a typo and they are...

Homework Statement Show that the relation between the horizontal and vertical components of the ball's position is given by the equation: y = L - [(L^2 - x^2)^1/2] http://www.flickr.com/photos/94066958@N08/8553595522/in/photostream/ Homework Equations y = L - [(L^2 - x^2)^1/2]...

This is neat how the waves go in order then out then back in and out and back in! https://www.youtube.com/watch?v=1M8ciWSgc_k

Homework Statement To form a pendulum, a 0.092 kg ball is attached to one end of a rod of length 0.62 m and negligible mass, and the other end of the rod is mounted on a pivot. The rod is rotated until it is straight up, and then it is released from rest so that it swings down around the...

Homework Statement Find the period of a pendulum with a length of 35 cm. Homework Equations I know that you can find period with the equation my teacher gave me: T(period in sec)=1/f(frequency in hertz) but that doesn't have anything to do with cm. I'm clueless on what equation to use...

Hi, I am trying to create displacement time series graphs of a double bar pendulum using Matlab. Am I correct in assuming that if I use the ode45 solver to integrate the equations below I can plot displacement time series graphs? Are these the correct coupled first order ODEs to use...

Homework Statement A ballistic pendulum is used to measure the speed of a bullet fired from a gun. The pendulum consists of a 20.0g block hanging from a string. A bullet, with mass 0.50gg, imbeds itself in the block causing the block to swing up to a height of 5.00cm. Find the speed of the...

I am trying to stabilize an inverted pendulum with a physical system as follows: The measured values of the pendlums angle and the cart (runner block) position are sent to a digital controller. The digital controller then outputs a value that is sent to the motor to turn the belt pulley...

Is amplitude in a simple pendulum measured as an angle, theta, or as a distance? If it is an angle, is it in radians or degrees. Also, what is the equation? How does amplitude relate to x=Acos(ωt)?

Homework Statement A spherical pendulum consists of bob of mass m attached to a massless rod of fixed length R. The end of the rod opposite the bob pivots freely (in two directions) about some fixed point. For the conical pendulum (θ=constant) case, show that the conical angle is stable...

I am working with a Daedalon chaotic pendulum for an experimental physics class. The pendulum is rather old and seems to have a strange problem. The pendulum can be driven by a DC current, and as voltage is increased, the pendulum begins to rotate. The pendulum is supposed to rotate smoothly and...

I am not able to think which pendulum is more better. Both are compound pendulums and i think kater's is better, but for what reasons, i am not sure. Thank you in advance!

This question is literally driving me crazy. How does the String or rope or whatever is used in a Foucault pendulum not twist with the rotation of the Earth (because the rope is attached to bases that are attached to the ground). Actually if the bases are attached to the ground, that should...

I am attempting to recreate Sutton's work on the 'Acrobot' and have modeled a good solution to the following: http://webdocs.cs.uAlberta.ca/~sutton/book/ebook/node110.html The physics is implemented in exactly the same way, however my particular Java implementation requires some constraint...

I am trying to model the following in a computer simulation: http://webdocs.cs.uAlberta.ca/~sutton/book/ebook/node110.html However I am struggling to understand which variables stand for which. In particular, the variables not defined are: d1 and d2 phi1 and phi2 Another problem...

hello every one i have this pendulum: i need to stabilize the pendulum in the inverted position , i need to know the potential energy for the pendulum , i read several articles in each one i have a different equation : V=mgl_{p}cos\alpha V=-mgl_{p}cos\alpha V=mgl_{p}(1-cos\alpha)...

Homework Statement Hey all, this is for a laboratory. I need to determine the fractal basin boundaries for a magnetic pendulum swinging chaotically about 3 other magnets underneath. I was able to plot a single path for the pendulum in Mathematica, but now I need to expand my code to...

Homework Statement Show that v_max = w_max * Length of string where v_max is the velocity of the simple pendulum and w_max is the maximum angular velocity. Homework Equations \omega_{velocity} = -\theta_{max} \cdot \omega_{frequency} \cdot sin(\omega_{frequency} \cdot t + \phi) The...

This may seem like a very simple question but given my lack of knowledge in the area, I'm stumped: If we have a rotating "space station" a la 2001: A Space Odyssey where the outer ring is at normal Earth gravity, what is the factor to determine how much gravity would be at various points...

Homework Statement A simple pendulum has a ball at the end of mass 5 kg and the length of the string is 5 m. Given \theta = 0.0800 \cdot cos[4.43t + \phi] find the maximum velocity Homework Equations \frac{1}{2}mv^2 = \frac{1}{2}kA^2 The Attempt at a Solution \frac{1}{2}mv^2 =...

How does the mass of a pendulum bob affect the time taken for the oscillation of a pendulum to diminish? At first I instinctively thought that it would have no effect. However, thinking about the pendulum bob's momentum as it interacts with the air molecules, a higher massed pendulum should...

Homework Statement https://aapt.org/physicsteam/2010/upload/2009_F-maSolutions.pdf # 18 Homework Equations T = 2∏√(L/g) The Attempt at a Solution Honestly, I'm not sure how at all to do this question. All I know that the distance from the small peg to mass m is L/3 - so that should...

Homework Statement We've been given an assignment to work out a formula for the period time of a compound pendulum. This is right in the beginning of an introductory physics course which means we haven't covered inertia or torque yet. So we're just supposed to find an approximate relation...

First of all, I'm not a physics person, so please forgive my questions. I am a mother of a student that is participating in a program called Destination Imagination. They are required to build a structure that can be "rammed" at 2.2 lbs of force. I don't have the tools or know-how to build...

Homework Statement A pendulum length l is suspended inside a railroad car. The railroad car is oscillating so that its suspension has position xs = A cos (ωt) and ys= 0. Use the angle \varphi as the generalized coordinate and write down the equations that give the Cartesian coordinates of the...

Homework Statement A child on a 4m long swing is pulled back 1m from the vertical and released with a push imparting a speed of 2m/s. Find an expression for the angle θ, as a function of time, identifying the frequency ω, amplitude θi, and phase constant δ. Homework Equations θ =...

Hi all, I'm having some problems trying to simulate a pendulum in C++. I am using x,y coordinates (and not angular coordinates, velocity...) to use the same method than all other dynamics in my program which are: - Compute sum of all forces - a = sum(F) - v += a - position += v For the...

Homework Statement 2 masses, m_{1} and m_{2} are fixed at the endpoints of a rigid rod of length l. mass m_{1} is attached to a horizontal bar so that it may move in the x direction freely, but not in the y direction. let θ be the angle the rod makes with the vertical, what is the...

Homework Statement I have a physical pendulum that is rotating about an fixed axis. The period is: T=2\pi \sqrt{\frac{I}{mgd}} I = moment of inertia d = distance between the center of mass and the axis. The problem is: If you add a mass in the end of the pendulum. The period is going...

"Handicapped" pendulum assignment Hello everyone, I was wondering if anyone could help me with an assignment about a "handicapped" pendulum (you got to love the professor's taste for scientific terminology). By "handicapped", it is meant that the pendulum is attached to a stationary point...

I thought of this question the other day, and I was unable to solve it. A Google search has not helped, so I thought I might post it here. A point mass hangs from a rod of length "l" from the center of a pendulum. The only forces acting upon the point mass are the force of gravity and the...

Homework Statement The time period of a simple pendulum is doubled when the length of the pendulum is increased by 3.0m. What is the original length of the pendulum? Homework Equations T= 2∏√(l/g) also l is original length and l+3 is the new length The Attempt at a Solution So...

Homework Statement Two pendulums collide and stick together after being released from rest at angles given. (See diagram) What is the final swing angle of the stuck-together masses ? (I'm assuming my teacher means the angle when they get to the highest point in their swing) In what direction...

Homework Statement A rod of neligeable mass is released from the horizontal position. As a ball at the end of the rod falls, it reaches a point at which the tension, T, in the rod equals the ball's weight. At what angle from the verticle does this occur. I am not getting the same answer...

Homework Statement The free end of a simple pendulum is attached to the ceiling of a box. The box is taken to a height and the pendulum is oscillated. When the bob is at its lowest point, the box is released to fall freely. As seen from the box during this period, the bob will a)continue...

Homework Statement A pendulum clock that keeps correct time on the Earth is taken to the moon. It will run a) at correct rate b)6 times faster c)√6 times faster d)√6 times slower Homework Equations The Attempt at a Solution T_{earth} = 2\pi \sqrt{\dfrac{L}{g}} \\ T_{moon} = 2\pi...

Homework Statement http://img32.imageshack.us/img32/1551/filevno.jpg I have to find the tension for the rope when angle is 20 degrees, the object is moving back and forth. I know the mass is 2kg, gravity is 10N/kg Homework Equations F_t * cos θ = mg. So F_t = mg/cos θ The...