Pendulum Definition and 1000 Threads

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...

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...

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'...

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 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...

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...