Pendulum Definition and 1000 Threads

Can you give me a link where I can find a simple explanation of the formula of the period of a pendulum? As far as I know, if the angle is 3°, the tension on the rope is g/ cos 3 and the horizontal T = 9,8 * tan 3 (0.0524) = 0.5 N. Is this the only force to consider? Can you tell me how to...

Homework Statement Hi guys! I am reading a paper on inverted pendulum. However, I can't understand the dynamics equations of this inverted pendulum. You may look at the images below. Basically the thruster is placed at top plate, while the middle plate is a base plate where pivot is placed. And...

Homework Statement a small spherical insulator of mass 6.00×10−2 kg and charge +0.400 μC is hung by a thin wire of negligible mass. A charge of −0.220 μC is held 0.290 m away from the sphere and directly to the right of it, so the wire makes an angle theta with the vertical. What is the angle θ...

Homework Statement A pointlike body of mass ##m=100## ##g## is attached to the extremity of an ideal spring, whose constant is ##K## and its length at relaxed position is negligible. The other extremity of the spring is attached to the fixed point ##O##. At first the body mass, on which the...

Homework Statement A homogeneous bar with length 0.6 m and mass m = 2 kg is fixed to a wall via a hinged connection in the vertical plane. At the end of the bar a constant force F acts of 150 N. The bar is released from the vertical equibrilium position. Determine the velocity (of the COG) and...

Homework Statement A simple pendulum and a mass-spring system have the same oscillation frequency f at the surface of the Earth. The pendulum and the mass-spring system are taken down a mine where the acceleration due to gravity is less than at the surface. What is the change in the frequency...

Homework Statement I have a physical pendulum made of a leg which mass is ignored, with a length of 1m, two objects of mass are placed on the bottom and the top of the leg, the first with a mass of m1= m1, and the second with a mass of m2= 3m1, both are L/2 away from the pivot point. It's...

Homework Statement There is a wagon (W) on wheels with a vertical pole of 2m. (mass 20kg) On the top of that pole there is a rope pendulum with an attached mass (M) of 10kg and length 1m. The starting position is a pendulum angle of 60°. No friction taken into account. What is the speed of the...

Homework Statement what is equation of motion for pendulum?pendulum is made of pointmass, which mass is m, is fixed to thread ,which length is l? Oscillation aplitude is θ.Other side of thread is fixed in (0;0;0)point. at time t=0 t=0;y=0 ;z=0 ;φ=θ Homework Equations...

For SHM of oscillating pendulum, when the pendulum is at the extreme position, what is considered as the displacement? The curve/arc of the circle the bob is following or the straight line distance from the mean position?

I want to investigate the phenomenon of Chaos in the form of how its driving amplitude affects _____, in a driven, damped pendulum, using a computer simulation given. Initially I was looking at 'degree of chaos' for the dependent variable - to measure this I wanted to use the Lyapunov...

1. Two small spheres with masses m1 and m2 hang on weightless, insulating threads of length L1 and L2. The two spheres carry charges of q1 and q2 (like charges) respectively. The spheres hang such that they are at the same level with one another. The threads are inclined at angle theta 1 and...

Homework Statement Give governing equations for the system about its static equilibrium, assuming small vibrations System consists of two springs located under 45 degrees to the vertical (both have same k-value) in undisturbed situation. Lower ends of the springs are attached to each other...

Homework Statement You are at a furniture store and notice that a grandfather clock has its time regulated by a physical pendulum that consists of a rod with a movable weight on it. When the weight is moved downward, the pendulum slows donw; when it is moved upward, the pendulum swings faster...

There is an swinging metal pendulum. I put one polar of bar magnet below the equilibrium. What will be the effect of the intensity of the magnet to the time taken for the pendulum to stop? Please explain the theory specifically since I am quite confused. Thank you very much.

Hello! I'd like to ask for help with one problem :) thank you in advance. 1. Write the equations for kinetic and potential energy for the pendulum with rectangular prism of size a*b*c (width, length, depth). With the Lagrange's equation get the equation of motion. The block is homogeneous...

I have written a C program to trace out the motion of a double pendulum, but am having difficulties in getting gnuplot (controlled from my c program) to trace out the paths of the masses (example video below). Thus far I have created the program such that it produces a number of png images at...

Hello there. Recently I was tasked to design a lab experiment using a ballistic pendulum. Now I understand that all the sources of the internet say that by principle of conservation of linear momentum, (1/2)(m+M)V2 = (m+M)gh , or V2 = 2gh And then using principle of conservation of energy, we...

Hello, everybody. This website and many others define the potential energy of a double pendulum as: V=-(m_1+m_2) g l_1 cos\theta_1-m_2 g l_2 cos\theta_2 However, I came up with the following equation: V= (m_1+m_2) g l_1 (1-cos\theta_1)+m_2 g l_2 (1-cos\theta_2) I started from the position...

what happens to an Pendulum conical that is in an accelerating elevator, i mean to its cycle time ?

Homework Statement A clock is regulated by a pendulum. The pendulum can be considered as a small weight connected to a rod of negligible mass. The period of oscillation of the pendulum can be adjusted by moving the weight up or down the rod. The angular frequency is given by ##\omega ^2...

I am considering a simple inverted pendulum system given in the following page; http://ctms.engin.umich.edu/CTMS/index.php?example=InvertedPendulum&section=SystemModeling System has two degree of freedom but the control input can be only applied as force to the chart. I am not sure about the...

Homework Statement A metal rod of length 'L' and mass 'm' is pivoted at one end. A thin disk of mass 'M' and radius 'R' (<L) is attached at its centre to the free end of the rod. Consider two ways the disc is attached : Case A: The disc is not free to rotate about its centre of mass, the...

Homework Statement [/B] In the overhead view of the figure, a long uniform rod of mass m = 0.24 kg is free to rotate in a horizontal plane about a vertical axis through its center. A spring with force constant 240 N/m is connected horizontally between one end of the rod and a fixed wall. When...

What is the minimum horizontal force "F" required to hold a simple pendulum (mass "m") with string of length "l" at an angle of 60 degrees with the vertical. [ given answer = mg/√(3) , veracity uncertain ]This at first seemed simple enough, standard mechanics apply, leading to ...

I am struggling with setting up a problem to solve for the change in amplitude of a pendulum affected by a damping force (presumable air friction) over a time period. The original amplitude of the pendulum is 1.4 m from the equilibrium on a 15 m massless wire with a 110 kg brass bob at the end...

Homework Statement Problem statement - [/B] Klepner and Kolenkow 6.15 : A pendulum is made of two disks each of mass M and radius R separated by a massless rod. One of the disks is pivoted through its center by a small pin. The disks hang in the same plane and their centres are a distance l...

I am newly learning Lagrange formalism and I learned how to get the equation of motion for a simple pendulum using Lagrange in the spherical coordinate system. But I am unable to derive the same using the Cartesian system. If someone can please tell me what is wrong with the following...

Consider a realistic pendulum with a bob of mass ##M## and a rod of mass ##m##. For the purposes of torque, is it correct to treat the bob and rod as two separate point masses, one at length ##L##, and the other at length ##\frac{L}{2}##? When I implemented this idea, I found that centripetal...

Homework Statement My textbook states that for oscillations of pendulums, the restoring force is ##F = -mgsin(\theta)##. "Because F is proportional to the sine of ##\theta## and not ##\theta## itself, the motion is not SHM (simple harmonic motion)". I don't understand the last sentence...

Homework Statement In the Cavendish experiment, the two small balls have mass m each and are connected by a light rigid rod with length L. The two large balls have mass M each and are separated by the same distance L. The torsion constant of the torsion wire is κ. b) Put the large balls a small...

The sistem above is the one I'm interested in. There is two equally charged spheres spinning on a plane. The line has L=\sqrt{2} m and the spheres weight 0.6Kg. The angular speed is \omega = 2rad/s. The radius for the circular trajectory is R=1m and so the centripetal force is...

Homework Statement This is a 'random discussion' that I had today with a student; it is not out of a textbook, nor does the solution carry any weight at all (pls excuse pun).[/B] A simple pendulum is happily swinging back and forth attached to a pin in the wall of the lift, where the pin is...

Homework Statement A simple pendulum with bob of mass m and conducting wire of length L swings under gravity through an angle 2 theta. The Earth's magnetic field component in the direction perpendicular to swing is B. The maximum potential difference induced across the pendulum is Homework...

Homework Statement I'm doing an EPI on horizontal circular motion and for one test the independent variable is mass and I need to control the velocity by using the 2πr/T formula. So I know how to use the forumula to find an unknown but how do I use it for two unknowns (r and T). Is there a...

Homework Statement I want to sum the forces perpendicular to the pendulum and sum the moments about the pendulums center of gravity. Homework EquationsThe Attempt at a Solution P\sin \theta - mg\cos \theta - N\cos \theta = -m\ddot x\cos \theta + ml\ddot \theta -Pl\sin \theta - Nl\cos \theta +...

In the included picture, I don't get how they get to the kinetic energy part. I would say, that the traveled distance is equal to (l + x(t))*θ. Then I would take the time derivative, resulting in dx(t)/dt * θ + (l + x(t))* dθ/dt. Then I would square this result and multiply that with 1/2 m. But...

Ok guys so for my lab report I am given an equation of period=2pi(length/a)^b and through this equation and the slope and y-int of my log-log graph I am suppose to solve for the values of a and b. I know that taking the log of the equation gives me log(T)=log(2pi)+blog(L/a) and this relates to...

Kinetic Energy of Double Compound Pendulum and Parallel Axis Theorem Hello, there. I have a project I'm working on where I need to be able to calculate the kinetic energy of what basically amounts a double compound pendulum. However, the pivot point of the second pendulum is not at the center...

I was waiting for the http://mathhelpboards.com/potw-university-students-34/problem-week-156-march-23-2015-a-14734.html for University students solution to be posted before I asked this question. I ran across this problem as I was trying to solve the problem and I got stuck rather quickly. The...

Homework Statement We have a light rigid pendulum with length ##l##. A mass ##M## is placed at the end and a mass ##m## is placed a distance ##x## from the pivot. What is the period of the pendulum? Homework EquationsThe Attempt at a Solution Reduce the problem to a single mass situation...

Homework Statement For the conservationofenergy,calculate the starting height of the bob. This is done with some trigonometry and is ∆h=L−Lcosθ Calculate the initial potential energy of the pendulum for each of your starting angles.Now, using the diameter of the hanging mass (2 cm),and the time...

In a discussion with someone claiming to be a physicist (whether PhD or something less he did not say) we got into a hypothetical discussion related to Hitchhiker's Guide to the Galaxy. An alien civilization wants to move the Earth out of the way because it's impeding a galactic highway...

Hi Clever People, Is there any method or gyro to prevent pendulum motion of an object when lowering it using a cable and a winch? I am doing a home projects and the motion is a big problem. Thank you in advance.

Homework Statement [/B] Find the Cartesian coordinates (x, y, z) of a fixed reference frame expressed in terms of the coordinates (x', y' , z) of a rotating frame, which rotates with the horizontal rod HR. Choose the x' -axis to point along the horizontal rod in the direction OA. Use this to...

Homework Statement Derive Newton's and Lagrange's equation of motion for the system. Discuss differences and show how Newton's equations can be reduced to lagrange's equations. Assume arbitrarily large θ. The system is a pendulum consisting of a massless rod of length L with a mass m...

Homework Statement Derive Newton's and Lagrange's equation of motion for the system. Discuss differences and show how Newton's equations can be reduced to lagrange's equations. Assume arbitrarily large θ. The system is a pendulum consisting of a massless rod of length L with a mass m...

Homework Statement A compound pendulum consists of a thin rod of length 1.4 m and a disc of radius 0.2 m. The centre of the disc is attached to the end of the rod and the pendulum pivots about the opposite end of the rod. Both the mass of the rod and the mass of the disc are the same, each...

In the book "Introduction to Mechanics" by K&K, in the section on conical pendulums, the net force in the ##\hat{k}## direction is set to zero, since the ##z##-coordinate of the particle doesn't change. However, later on the effect of changing ##\omega## on ##\alpha## (the angle the rod makes...

Homework Statement A long light inflexible rod is free to rotate in a vertical plane about a fixed point O. A particle of mass m is fixed to the rod at a point P a distance ℓ from O. A second particle of mass m is free to move along the rod, and is attracted to the point O by an elastic force...