Pendulum Definition and 1000 Threads

Homework Statement Using trigonometry and Fig. 2 in the ballistic pendulum write-up, show that the height h the pendulum rises after capturing the ball is given by: h=R(1-cosθ) Figure two is here: http://imgur.com/W9nvVZT Homework Equations h=R(1-cosθ) The Attempt at a Solution...

Homework Statement You are given a pendulum composed of a 0.030 kg mass on the end of a 0.60 m long massless string. If the pendulum is moved 30° from the vertical and given an initial speed of 0.39 m/s tangent to the support string and away from the vertical, how much higher relative to the...

Homework Statement You are given a pendulum composed of a 0.015 kg mass on the end of a 0.40 m long massless string. If the pendulum is moved 30° from the vertical and given an initial speed of 0.45 m/s tangent to the support string and away from the vertical, how much higher relative to the...

Homework Statement Find the period of a pendulum consisting of a disk on mass M and radius R fixed to the end of a rod of length l and mass m. How does the period change if the disk is mounted to the rod by a frictionless bearing so that it is perfectly free to spin?Homework Equations The...

Homework Statement How does a simple pendulum have a constant ω if it's velocity changes?Homework Equations (1) v=ωR (2) \omega=\stackrel{\sqrt{l}}{\sqrt{g}} The Attempt at a Solution Very confused about this. The pendulum bob is at a fixed distance from where it's attached (i.e R is...

Homework Statement (The picture is having trouble being directed so I attached it) Hey guys, I'm trying to figure out the normal modes of a pendulum with two different masses. The lengths of the strings are the same and the weight of the strings are negligible. I can easily find everything...

So I have one attempt left and want to make sure my answer is correct, so double checking me would be super awesome! You are given a pendulum composed of a 0.030 kg mass on the end of a 0.42 m long massless string. The pendulum is moved 25° from the vertical and released. Find the tension in...

Homework Statement A pendulum clock measures the time exactly if its period is T_0 . What time does the pendulum record in a time D , if its period becomes T ? Homework Equations I know that the number of oscilations of the pendulum in the time D is : N=D/T The Attempt at a Solution...

The studio explores the conservation of energy using the Interrupted Pendulum apparatus shown in (Figure 1). A ball is attached to a horizontal cord of length L whose other end is fixed. A peg is located at a distance d directly below the fixed end of the cord. The ball is released from rest...

Homework Statement The nonlinear, inherently unstable inverted pendulum is shown in Figure 1.15. The goal is to maintain the pendulum angle θ(t) = 0 by using a feedback controller with a sensor (encoder or poten- tiometer) for θ(t) and an actuator to produce an input force f (t). The...

In the 19th century they believed in the absolute motion and the ether, and they were searching for a scientific proof of the motion of the Earth. When Foucaults experiment was done, people still believing that the Earth was still wasfinally convinced that it moves instead. But it is well...

Hi everyone, I'm planning a simple experiment for my school, which involves fixing a mass M onto a rod of length L made of a copper alloy. Suppose I drive it capacitively, how do I find the resonant frequency of this simple oscillator? I need its resonant frequency to be about 400-500Hz, which...

I have found that the kinetic energy term for each mass on a coupled (by a spring) pendulum has no \dot{y} terms, as in the the masses do not move in the y direction at all. What am I missing here? I know they are connected, but in the first normal mode, both masses should move like regular...

Homework Statement A pendulum consists of a 300 gram mass attached to the end of a string of length 75 cm. • a) Using the small angle approximation(sinθ ≈ θ), derive an equation for the angular acceleration of the pendulum, assuming that there is no friction. • b)] The pendulum is given a...

A mass of 80g is moving in a horizontal circle supported by a string 1.2m long suspended from a fixed point in the centre of the circle. The mass completes each revolution in 0.85s. Calculate the tension in the string. Relevant equations: I'm not entirely sure, but these were the ones I...

When analysing the forces/energy transfers acting on a physical pendulum (albeit with a larger mass on the end, such as a grandfather clock...with a thick rod?) is it absolutely necessary to know the mass of the 'arm' (separate from the bob, as such)? Also, can the mass of the arm be calculated...

I've got a similar question to http://www.chegg.com/homework-help/questions-and-answers/pendulum-consists-10-kg-uniform-slender-rod-15-kg-sphere-pendulum-subjected-torque-m-50-n--q2722886 for homework. I applied the same steps I used on my homework question to this problem and I get a different...

As you may know, Foucault's pendulum is an easy way to verify that the Earth is rotating about its axis. Its a pendulum that is free to swing in any direction. Since Earth rotates under it, the position of the pendulum with respect to the ground changes after some time. So you could put pins on...

Homework Statement How should I find the time period of a pendulum which is made up of a rod of length l fitted with a bob of radius r at its one end and the other end being pivoted to the wall? 2. The attempt at a solution Actually having problem with calculating...

Homework Statement Find the period of a pendulum consisting of a disk of mass M and radius R fixed to the end of the rod of length l and mass m. How does the period change if the disk is mounted to the rod by a friction less bearing so that it is perfectly free to spin? The centre of the...

Homework Statement A simple pendulum has a length of 1m. In free vibration the amplitude of its swings falls off by a factor of e in 50 swings. The pendulum is set into forced vibration by moving its point of suspension horizontally in SHM with an amplitude of 1 mm. a) [... Built Differential...

Imagine a standard pendulum. I understand how to work the physics on one but what if you attached that pendulum to a pulley at the top and could apply tension through the line? Let's say you released it at 45 degrees then some degrees later you applied some amount of tension through the pulley...

Hi Assume that the Foucault's pendulum is located in N pole and is oscillating from W to E (x direction). The Z axis is vertically up. The force acting on the bob as it moves from equilibrium position towards E is in the -y direction causing the plane of the pendulum to rotate in CW direction...

Hi, a pendulum drives a flywheel using a over run clutch so the flywheel will only spin in one direction. The length of the pendulum is 2.5 meters and the bob weight is 25 kilograms. It is a rigid pendulum. The flywheel diameter is 4 meters. 4.5 kilogram weights are placed at 60 degree...

Hi A Foucault's pendulum consist's of a heavy weight at the end of a long string with the string so suspended that it allows movement in any plane (eg. a string supported from a bearing fixed to the ceiling). The plane of the pendulum then rotates opposite to that of the Earth thus at the rate...

Need some help understanding if torque changes. Does lengthening the pendulum affect the torque on the other gears (purple, green, and plum)? In other words is torque inversely proportional to speed still applicable here? thanks

Does the gear train in a classic weight driven clock see a torque decrease when we lengthen the pendulum? thanks guys for your help - (inventor question)

What are the conditions used,While calculating time period of a simple pendulum??

Homework Statement Consider the setup shown in the gure below. The cart of mass M moves along the (horizontal) x axis. A second mass m is suspended at the end of a rigid, massless rod of length L. The rod is attached to the cart at point A, and is free to pivot about A in the x-y plane...

Sorry if I fill any of this out incorrectly, this is my first post. Homework Statement Basically, we are told to calculate gravity with the use of a pendulum. Now, this part I understand, alter the length, record the period at each length, calculate averages and substitute these averages into...

Hello, I don't understand how changing the amplitude does not change the period but changing the length of the string does. Each changes the height and changes the arc length so wouldn't they both change the period? Thank you for any help!

I'm having trouble with this problem. I did: FTcosθ-mg= 0, solving for FT, getting FT= mg/cosθ. Then, along the x-axis, F-FTsinθ=0, solving for F, getting F= mgtanθ. Not sure how to go about it from here. What is the direction of the displacement?

Homework Statement See attached link The Attempt at a Solution I would have write my work out here, but I have not managed to display matrices next to each other yet. My problem is putting it into matrix form. The form I have is shown in the below attachement. The matrix I get for...

Homework Statement The balance wheel of a watch is a thin ring of radius 0.95 cm and oscillates with a frequency of 3.10 Hz. If a torque of 1.1x10-5 Nm causes the wheel to rotate 45°, calculate the mass of the balance wheel. Homework Equations I=mr2 T=(2π)sqrt(I/mgh) τ=-Kθ The...

hi guys, I'm currently working on a physics report about a simple pendulum and can't figure out how to answer one of the questions: 3. "define all terms in the solution(x(t)=Acos(ωt)) and especially the relationship between angular frequency, and periodic time, T." ive defined all the...

I am building a machine for my martial arts club so that I can have a bit of fun and measure the speed and reaction times of my club mates. The design that I feel would yield the most reliable and accurate results would be to mount an upside down 'pendulum' on a frame. At the head of the...

I'm having trouble solving this problem. I'm trying to find the steady state angle of a rod with wind /fluid drag. Assume Cd, L, U, etc. are known. The viscous and form drag forces are a function of the angle θ so I don't have enough equations to solve the problem. Maybe there's some type of...

I am working through an example of an inverted pendulum on a cart, exactly like this: L is the length of the massless pendulum arm. Two degrees of freedom, x and theta. If I write out the kinetic energy as three parts: translational KE from cart + translational KE from pendulum +...

Homework Statement A pendulum with a mass of 10kg and a length of 4.1 meters is pulled back 26 centimeters to the right from the vertical and released. As it is released, an additional amount of work equal to 5x10^-1 joules is done on the pendulum in the tangential direction toward the left...

Homework Statement A very light rigid rod with a length of 0.742 m extends straight out from one end of a meter stick. The combination is suspended from a pivot at the upper end of the rod as shown in the following figure. The combination is then pulled out by a small angle and released...

Homework Statement A 2 kg mass hangs from the end of a 1 meter long string which is Øxed at its other end. The mass is displaced so that the string is at 53° to the vertical and released (remember sin(53°) = cos(37°)=0.8). Find the magnitude of the total acceleration of the mass when the...

Homework Statement In a science museum, a 100kg brass pendulum bob swings at the end of a 13.0m -long wire. The pendulum is started at exactly 8:00 a.m. every morning by pulling it 1.7m to the side and releasing it. Because of its compact shape and smooth surface, the pendulum's damping...

If you were to set up two pendulums, identical except that one pendulum had 500 grams of an element with atoms of low mass, and the other with 500 grams of atoms of higher mass, would the two pendulums have a different rate, even if infinitesimally? Has this been done? Thank you.

Bar Pendulum Graph name? Hi! WWhen i did the Bar graph experiment, i obtained a parabolic curve on negative and positive x axes (time period^2 vs distance from cg graph). Can anyone tell me what it's actually called, the actual name of the graph?

Homework Statement A pendulum of mass "m" reaches a height "h" , while the length of the pendulum is R. If the R = 262 cm and h = 136 cm: (a) calculate the max speed in the x-direction. (b) calculate the max speed in the y direction. Homework Equations K = 1/2(m)(v)^2. U = mgh. Vector...

Homework Statement Pendulum A is 20 cm long and has a 5g mass on it. Pendulum B is 30 cm long and has 10g mass on it. Which one has a faster period? Homework Equations d=v1t+0.5at^2 The Attempt at a Solution First of all, does the mass of the pendulum matter at all? and if not...

Homework Statement I am told to find the speed of a pendulum bob at the lowest point of the swing where the initial angle of displacement is θ=5.7° and the period of the pendulum is 2.5 seconds. Homework Equations K.E.=.5mv2, T=2∏√(L/g), P.E.=mgh, h=L-Lcosθ=L(1-cosθ) The Attempt at...

Im getting stuck on a couple of the questions for my mechanics homework. Il put what I've done so far and hopefully someone can check I am doing it right n push me into the right direction for the rest. [FONT=verdana]"A grandfather clock has a...

Homework Statement Hi, I have a question about pendelum which I don't know how to solve A 1.0 kg ball swings from a pendulum and bounces into a spring with a spring constant of 750 N/m. Here is the diagram: 1. How do i determine velocity of the ball at the bottom of the swing? 2. How do i...

Homework Statement A mass of 200 g is attached to the end of a cord 1.20 m long. The cord is hung from a horizontal beam and the mass is free to swing making a pendulum. The mass is released from rest at an angle of 60° from vertical. What will be the velocity of the mass at an angle of...