Pendulum Definition and 1000 Threads

Homework Statement A grandfather clock uses a physical pendulum to keep time. The pendulum consists of a uniform thin rod of mass M and length L that is pivoted freely about one end, with a solid sphere of the same mass, M, and a radius of L/2 centered about the free end of the rod. Obtain...

Homework Statement The problem is : http://i44.tinypic.com/2v7yo29.png Homework Equations The Attempt at a Solution For part a ) I have stated that: The total energy is equivalent to the conservation of energy i.e the two expressions obey the conservation principle. The expression dealing...

Homework Statement We did a lab, where, in the first part we timed the period of a pendulum with varying lengths. In the second part, we timed the period of a pendulum with varying masses. I got the results that I expected to get. However, I do not understand two of the lab questions...

Homework Statement A simple pendulum has a length of 4.9 m and is pulled a distance y = 0.5 m to one side and then released. (a) What is the speed of the pendulum when it passes through the lowest point on its trajectory? (b) What is its acceleration when it passes through the lowest...

Homework Statement A horizontal tree branch is directly above another horizontal tree branch. The elevation of the higher branch is 9.45 m above the ground, and the elevation of the lower branch is 5.58 m above the ground. Some children decide to use the two branches to hold a tire swing...

Homework Statement Find the Lagrangian of a simple pendulum of mass m whose point of support moves uniformly on a vertical circle with constant angular velocity. (So basically there is a circle around the origin that spins with a constant angular velocity and the pendulum is attached to the...

Homework Statement I was just wondering if someone would be kind enough to look over these solutions and tell me if I am correct. The lab was a simple ballistic pendulum, which I am sure every physics student performs. Homework Equations The Attempt at a Solution 1.)...

Hello everybody :) I need some help in an experiment simulation :) If you will make a pendulum with a spring instead of a string or rope (nonelastic), then bend it over on θ angle and then let it go - it will start to oscillate around with different manner than a simple pendulum :) with...

Homework Statement I am suppose to find a linear graph for the equation T=2pie(√L/√g) Homework Equations The Attempt at a Solution The best linear graph I could think of was L/T^2. Am I doing it right? Thanks.

Homework Statement A pendulum comprising a light string of length L and a small sphere swings in the vertical plane. the string hits a peg located a distance d below the point of suspension. (Diagram attached below). a) Show that if the sphere is released from a height below the peg, it...

Homework Statement A small cuckoo clock has a pendulum 25 cm long with a mass of 10 g and a period of 1 s. The clock is powered by a 200 g weight which falls 2 m between the daily windings. The amplitude of the swing is 0.2 rad. What is the Q (quality factor) of the clock? How long would the...

Homework Statement A small cuckoo clock has a pendulum 25 cm long with a mass of 10 g and a period of 1 s. The clock is powered by a 200 g weight which falls 2 m between the daily windings. The amplitude of the swing is 0.2 rad. What is the Q (quality factor) of the clock? How long would the...

Homework Statement The rotational inertia of a uniform thin rod about its end is ML2/3, where M is the mass and L is the length. Such a rod is hung vertically from one end and set into small amplitude oscillation. If L = 1.0 m this rod will have the same period as a simple pendulum of...

For a piece of practical work, I'm investigating which factors alter the time period of a torsional pendulum. So far, I'm changing the mass of the pendulum, the length of wire, type of wire and thickness of wire, can anyone recommend anything else? Also, I'm looking at the formula...

Homework Statement A 11.0 g rifle bullet is fired with a speed of 360 m/s into a ballistic pendulum with mass 9.00 kg, suspended from a cord 70.0 cm long. A.) Compute the initial kinetic energy of the bullet B.) Compute the kinetic energy of the bullet and pendulum immediately after the...

Homework Statement A pendulum of mass 1.0 kg is suspended from the roof of a car traveling on a level road. An observer in the car notices that the pendulum string makes an angle of 10 deg with the vertical. What is the acceleration of the car? Homework Equations Fc=mv^2/r The...

Homework Statement The period of a pendulum is measured to be 3.00 s in the reference frame of the pendulum. Homework Equations What is the period when measured by an observer moving at a speed of 0.960c relative to the pendulum? The Attempt at a Solution I don't want to...

How to calculate g if amplitude of a simple pendulum is negligible and the length is known? T=2π\sqrt{}l/g

Homework Statement A double pendulum consists of two particles of equal mass m suspended by massless rods of equal length l. Assuming that all motion is in a vertical plane: 1. Find the Lagrangian of this system. 2. then find the equations of motion and, 3. linearize these equations...

Homework Statement i need to calculate the d for a 45 degree drop of pendulum that the length is .44m. i did the one for 90 degrees but i can't figure out how to get a different outcome. Homework Equations ug initial= KE + Ug final mgh=0.5mv^2=mgh gl=0.5rg+g2r l=0.5r+2r...

Homework Statement How was energy lost while using the ballistic pendulum? Homework Equations Initial KE= 1/2mb*Vb^2 = 0.929J Final Potential graviational = (m+M)gh= 0.198J Energy loss = 0.929J - 0.198J= 0.731J The Attempt at a Solution I think the answer is: energy lost dues to...

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...

Homework Statement Hey guys I need help with a spring pendulum experiment. The practical part of the project is designing it, and gathering at least one set of measured data - independent/dependent variables. The system will exhibit both motions of a simple pendulum AND a simple spring system...

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...