Pendulum Definition and 1000 Threads

A pendulum (with string length "L") and aball of mass "m" is pulled back to a horizontal position and then released. Assuming that θ is the angle between the string and the vertical, find (a.) the magnitude of the radial acceleration of this ball at an angle of θ as a function of m,g, L, and/or...

A pendulum (with string length "L") and aball of mass "m" is pulled back to a horizontal position and then released. Assuming that θ is the angle between the string and the vertical, find the speed of the ball (v) at an angle of θ as a function of m,g,L, and/or θ. I just can't get my...

if if we have a string and a object with mass m connected to it , it does extend for 11 cm (string) . if we put another object with the same mass m , what will be the period of that ( of the 2 objects in the string) . please explain does mass affect the period ? thnx

Homework Statement A pendulum consists of an object of mass m = 1.65 kg swinging on a massless string of length l. The object has a speed of 1.97 m/s when it passes through its lowest point. If the speed of the object is 0.87 m/s when the string is at 70° below the horizontal, what is the...

1. A pendulum bob of mass m is released from a height H above the lowest point. It collides at the lowest point with another pendulum of the same length but with a bob of mass 2m initially at rest. Find the heights to which the bobs rise given that the collision is (A) Completely Inelastic...

Homework Statement A physical pendulum is made of a uniform disk of mass M and radius R suspended from a rod of negligible mass. The distance from the pivot to the center of the disk is l. What value of l makes the period a minimum? Homework Equations The Attempt at a Solution

Friends: Recently I got this problem: what sustained horizontal wind pressure/force is needed to make a pendulum swing up and stay at a certain angle? To solve this problem, I imagined applying a horizontal force FH to the bob (of mass "m"). I learned that the angle that the pendulum makes...

Homework Statement When I release a large pendulum from about my eye level, why does it not return and hit my face? Homework Equations PE=mgh and KE= 1/2mv^2 possibly? The Attempt at a Solution I was thinking that it had something to do with a transfer of potential energy to...

Hi, I just wonder what happens if a pendulum is attached to a pivot point via a flexible spring, and the spring is: 1 Not damped 2 Partially damped Will the pendulum stop earlier, or will it sustain as long as a pendulum with no spring attached to it? Vidar

Homework Statement A 36 g rifle bullet traveling 310 m/s buries itself in a 5.2 kg pendulum hanging on a 2m long string, which makes the pendulum swing upward in an arc. Determine the maximum verticle displacement of the pendulum (height)(g=9.8m/s^2) Homework Equations Pi = Pf Law of...

Hy I am trying to solve problem of quantum pendulum in region of unstable equilibrium. I am doing it in Heiseberg interpretation of QM. The equation of motion that I am getting is \dot{\dot{\theta}} = \omega^2\theta , and the solution is in form of : x (t) = A\cosh(\omega t) + B\sinh...

I would think that at a pendulum's highest point the velocity would be 0. Am I wrong in my assumption?

If you are given the tension of the pendulum at its lowest point and the length of the pendulum, how can you solve for the velocity of the pendulum? I've looked in my book and found the equation v= √ (2gL (1-cosΘ)) But this equation doesn't help me unless I have the maximum angle the...

Homework Statement I have to derive an equation with the following variables: T= period m= mass Theta= angle l= length and I was told to think of the period as the perimeter of a circle.Homework Equations The Attempt at a Solution C=2\pi r,C/2=\pi r,d=\pi r,(at^2)/2=\pi r,t=\sqrt{\frac{2\pi...

Hi guys, I was doing my lab report and stumbled onto this question and I would really appreciate it if you guys could assist me on this. (: Homework Statement For a simple pendulum consisting of a mass M attached to a very thin light string of length L, in the absence of air resistance...

I just want to know if someone has the fortran code for the numerical solution of the pendulum with a spring. And if it is so, can it write it here?

Hey physics forums, this is my first post and frankly I'm having trouble conceptualizing this problem. I know harmonic oscillation is involved, as it is a pendulum. However, I know I have to incorporate g into the s.h.o. equation and I'm not quite sure how to do that. Any help would be...

A simple pendulum of length L and mass m is suspended in a car that is traveling with constant speed v around a circle of radius R. If the pendulum undergoes small oscillations in a radial direction about its equilibrium position, what will its frequency of oscillation be? I don’t know how to...

A simple pendulum is used to measure the acceleration of gravity using T=2pi(sqrt(L/g)) . The period T was measured to be 1.24 ± 0.02 s and the length L to be 0.381 ± 0.002 m. What is the resulting value for g with its absolute and relative uncertainty? So the first thing I did was to isolate...

Homework Statement A mass m = 6.3 kg hangs on the end of a massless rope L = 2.13 m long. The pendulum is held horizontal and released from rest. I already found the speed at the bottom of the pendulum's path and that is 6.46. I'm stuck on: a. What is the magnitude of the tension...

A simple pendulum consists of a mass M tied to a string and swings freely starting from rest at the position on the left in the figure below. http://imageshack.us/photo/my-images/695/screenshot20110922at611.png/ Select the vectors which best represent the acceleration of mass M at the...

Homework Statement A uniform thin rod of mass M and length L is supported horizontally by two supports, one at each end. The acceleration of gravity, g, is constant and in the downward direction. At time t=0 the left support is removed. Find the downward acceleration of the center of mass at...

T= 2pie Square root of 2L/3g I got a couple of questions. 1) why is it 2L/3g? 2) would my straight line graph be T^2 vs L? ( so gradient is T^2/l?) 3) after i get my gradient do i compare it to the gravity 9.81? 4) is the equation going to be time^2=XXL or s^2=xxm ? do i use the unit...

Homework Statement A mass m is suspended by a massless string of varying length l = l0 - vt, where v is constant. The mass is released at angle [\theta]0 from rest. (a) Write down the Lagrangian and find the equation of motion (b) Show that these equations reduce to those of a simple...

3.(a) A particle P, of mass 0.03kg, is attached to one end of a light inextensible string OP, of length 1 m. The other end of the string is attached to a fixed point O. The particle moves in a horizontal circle, with centre vertically below O, at an angular speed of 2 revolutions per second. The...

[a]1. Homework Statement [/b] essentially my "problem statement" is to determine what the mg in the equation T=2π√(I/mgL) is being used to represent Homework Equations T=2π√(I/mgL) The Attempt at a Solution in a nutshell, i solved a difficult problem in a way that my...

hey guys, I have a question regarding how to get the potential energy for this. I can get the correct answer, but the solutions do a step that makes absolutely no sense to me, so hopefully someone leads me in the right direction :smile: Homework Statement Using energy method, derive the...

Homework Statement by what fraction must you change the length of the pendulum to make it run true if it loses one minute every hour Homework Equations t=2pi/sqrt(g) * sqrt(l) The Attempt at a Solution I know that I am losing 1 second every 60 seconds so I need to shorten the period...

A pendulum is suspended from the ceiling and attached to a spring fixed to the floor directly below the pendulum support. The mass of the pendulum bob is m, the length of the pendulum is L, and the force constant is k. The unstressed length of the spring is L/2 and the distance between the...

Homework Statement Hi, this is supposed to be an easy question, but for some reason I can't get it to work. The question is: A weightless rod is hinged at O so that it can rotate without friction in a vertical plane. A mass m is attached to the end of the rod A, which is balanced...

1. Homework Statement PLEASE DO NOT DELETE THIS POST, MODS, IT MAY LOOK LIKE THE SAME QUESTION AS BEFORE, BUT IT IS NOT, IT IS A TOTALLY DIFFERENT PART TO THE QUESTION. consider a parallel=plate capacitor with square plates of side L and distance d (<<L) between them, charged with charges...

A pendulum consists of a 2.0-kg bob attached to a light 3.0-m-long string. While hanging at rest with the string vertical, the bob is struck a sharp horizontal blow, giving it a horizontal velocity of 4.5 m/s. At the instant the string makes an angle of 30° with the vertical, what is (a) the...

[b]1. Homework Statement The swinging period T(θ) for a small amplitude simple pendulum, is given by T, a constant for a constant length pendulum. If the initial angle θ is large, then the amplitude becomes large and the period needs to be corrected. The correction to the large amplitude...

I was wondering what will happen if we had a Newton's pendulum (cradle ) in space out of any significant gravitational orbit, although one with only two balls where the string attached to each balls would only be tied to the same center. This pendulum would allow the first ball to hit the...

Homework Statement consider a parallel-plate capacitor with square plates of side L and distance d (<<L) between them, charged with charges +Q and -Q. The plates of the capacitor are horizontal, with the lowest lying on the x-y plane, and the orientation is such that their sides are...

Hello all, I have written a python code implementing the Runge-Kutta fourth order method for higher orders to approximate the motion of a double pendulum. The problem I am having is that my plot of theta2 (angle of second rod) Vs time looks a little off and I am curious if I have it correct...

Period and frequency of a pendulum doesn't depend on mass?? for a pendulum: T = 2\pi\sqrt{}length/g and f = 1/2\pi \sqrt{}g/length The mass m of the pendulum bob doesn't appear in the formulas for T and f of a pendulum where T = period and f = frequency How does this make...

Homework Statement The pendulum bob in Figure 6.11 must circle the rod interrupting its swing, and the string must remain taut at the top of the swing. How far up must the bob be raised before releasing it to accomplish these goals? Homework Equations Potential Energy = mgh Kinetic...

A spring is made to oscillate in between a horse shoe magnet. What are things we can study? How does it compares with a pendulum (bob swinging) swinging? Please explain. I wish to do a small project.

though my higher secondary book lays down procedures to find the acceleration due to gravity(g} and conclude that it there using a simple pendulum and gives the formula g= 4(pi)^2L/T^2 where L is the length of the string and T is the time period. the author has not given the derivations as my...

In solving a ballistic pendulum problem, you can break it up into two parts: (1) A bullet is fired and it lodges into a block. Momentum is conserved because there is no net external force. Energy is not conserved because there is friction between the block and bullet. (2) Once the bullet is...

Homework Statement Consider a small cuckoo clock in which the length of the pendulum is L, suspending a mass m with a period of oscillation T. The clock is powered by a falling weight (mass = M) which falls 2 m between the daily windings. The amplitude of the swing is 0.2 radians. (A)...

Dear members, I have a misunderstanding about the Foucault pendulum. In early 1851, Foucault had an insight that led to his famous discovery. This bit of serendipity occurred during construction of a pendulum clock to regulate the drive of a telescope. Foucault had secured a rod in the chuck...

Hello everyone! I've found this problem in my exercises book, and I'm having slight troubles solving it. "Consider a simple pendulum with mass m, on a string with l length. Considering that the position of pendulum is determined with the angle \theta and noting that the string DOES NOT do any...

Homework Statement Okay, so I'm using the online Giancoli physics thing for AP Physics C summer work (see: "([PLAIN]http://wps.prenhall.com/esm_giancoli_physicsppa_6"[/URL]. I think my way of doing it is correct, but the online checker says I'm wrong. The question: "A pendulum has a mass of...

Homework Statement A simple pendulum whose string is made of some unknown material loses 5 seconds per day at 15 deg and gains 10 seconds at 30 deg. What is the alpha i.e. coefficient of linear expansion of this material? Homework Equations [b]3. The Attempt at a Solution [/b I...

Simple pendulum problem - having trouble with the math! Homework Statement A simple pendulum is set up on Mars where g=3.72m/s^2. How long should pendulum be if period T is to be 2.00 seconds? Homework Equations T=2pia(3.14) times square root of l(length)/gravity The Attempt at a...

Homework Statement A uniform stick d = 1 m long with a total mass of 249 g is suspended vertically from a frictionless pivot at its top end. A wad of putty of mass 29 g is moving horizontally with speed v. It strikes and sticks to the stick at a distance 0.75 m from the pivot. What is the...

what is the relation between simple and second pendulum?

Homework Statement The cycloid pendulum consists of a particle under the effect of a constant gravitational field (\vec g = -g \hat y) that moves without friction over a curve described parametrically by x=a(\theta + \sin \theta) and y=a(1-\cos \theta ). 1)Write down the Lagrangian and the...