Period Definition and 1000 Threads

1. The problem statement Hi everyone, I'm currently working on an assignment that involves modelling a non-linear pendulum in C. I have to investigate the dynamics of a simple non-linear pendulum all the way up to a chaotic damped, driven situation. However, I'm completely baffled as to how...

Homework Statement The pendulum shown below right consists of a uniform disk with radius r = 20.0 cm and mass m = 1.2 kg attached to a uniform rod with length L = 40 cm and mass M = 0.8 kg. What is the period of the motion? Homework Equations T = 2∏√(I/mgL) The Attempt at a...

I must say that I have not studied celestial mechanics other than the crumbs I learned at high school. Now, what discomforts me is the orbital period formula I saw on Wikipedia: T=2\pi\sqrt{\frac{a^3}{G(M_1+M_2)}} I do not understand where does this M1+M2 can possibly come from. My thinking is...

Homework Statement Apply the physical pendulum equation to a ring pivoted on its edge to derive the equation for the period of a ring pendulum for small oscillations about the pivot point. Include a diagram showing the restoring torque acting on a ring pendulum displaced from equilibrium...

Homework Statement If a new planet has a year of 3.44578 Earth years, what is its radius of orbit in meters if Earth's orbital radius is 149,597,870,700 meters? Formula: r = (vt)/(2pi) How can I use this without velocity? All help is appreciated as I'm not sure how to go about this...

Questions -- solving pendulum period of rotation Physical pendulum has a period of rotation that changes by Changing the temperature. According to the above show that the frequency shift of the pendulum would be: I have 2 questions,first solving the above question and the second how...

Homework Statement A uniform metal disk (M = 9.81 kg, R = 8.99 m) is free to oscillate as a physical pendulum about an axis through the edge. Find T, the period for small oscillations. Homework Equations I (uniform disk, with axis through center of mass) = (1/2)MR^2 T = 2π√(I/mgd)...

Homework Statement I would like to know how a 4000 r/min is converted to period of t=2.5mSec Homework Equations Speed of motor = 4000 r/min Build-up time of current = 2.5msec Frequency = 60Hz The Attempt at a Solution \frac{1}{4000}=0.25msec not 2.5msec OR Assuming it means...

at what speed must i be moving towards a beam of light in order for the wavelength to have a period of 0? would it be the speed of light? would it need to be greater than the speed of light? if so, what period would it be at if i were movign at the speed of light? i mean, maybe the question...

REAL QUICK question about how to solve for the period of a simple pendulum? For part a, I tried using the formula: T = 2π√(L/g) I did, T = 2π√(53.4/9.8) T = 2π√(5.44) T = 2π(2.33) T = 14.6 s But that's wrong... Help please?

Homework Statement A boy ties a 3.00kg rock to a 0.70 m string and begins spinning it around in a horizontal circle at a constant speed. If the string will break if the tension is greater than 80.0 N, what is the minimum period for the rock to spinning in a circle. How do i solve this...

What is the period "T" in this equation? Or how do I solve for it? 1) This is what I did. ac (first column on excel) ac = v2/r ac = (2πr/T)2/r mhg (second column on excel) 0.07155(9.81) = 0.7019055 0.10422(9.81) = 1.0223982 0.11394(9.81) = 1.1177514 0.13392(9.81) = 1.3137552...

#7. This is what i tried to do... but I got it wrong :( Please help T ≈ 2π√(L/g) 1.31 = 2π√(L/9.81) 1.31/2π = √(L/9.81) 2.057 = √(L/9.81) 2.057² = L/9.81 4.2343 = L/9.81 4.2343(9.81) = L 41.54/1000 = L 0.0415 = L "INCORRECT: Your response differs from the correct answer by more than 100%. "

Hello PF, I know this is a weird place to post it, but I can at least hope for some anonymity. This Christmas I plan on going in for counseling. I was wondering on how I could cope with depression in the meantime. Up until recently, I thought I was just feeling down with the standard...

Hello everyone, I was wondering how could you determine the period of the motion of two or more coupled oscillators. For example, two oscillators have the state variable equations: x_1=A_1\cos{(\omega_1t+\phi_1)}+A_2\cos{(\omega_2t+\phi_2)}...

Homework Statement Given the function 10sin^2(10t) Find the fundamental frequency and period. Find the exponential and trigonometric coefficients of the Fourier Series. Homework Equations The Attempt at a Solution I really have no idea how to start this problem. The sin^2...

Homework Statement Three stars, each with the mass of our sun (1.9891E31 kg), form an equilateral triangle with sides long. The triangle has to rotate, because otherwise the stars would crash together in the center. What is the period of rotation? Homework Equations F1=GM2/r2 ƩF=0...

A 1 lb weight is suspended from a spring. Let y give the deflection (in inches) of the weight from its static deflection position, where “up” is the positive direction for y. If the static deflection is 24 in, find a differential equation for y. Solve your equation and determine the period and...

Homework Statement A mass m oscillating on a spring has a period T. Suppose the mass changes very slightly from m to m+Δm, where Δm << m. Find an expression for ΔT, the small change in the period. Your expression should involve T, m, and Δm, but NOT the spring constant (k). Homework...

Homework Statement "A satellite orbits the Earth in a circular orbit of radius r. If the orbital speed of the satellite is v, what is the orbital period T of the satellite in terms of v and r? You must explain how you derive the expression for the period."Homework Equations Speed =...

Given two particles A and B realizing circular motion respectively on circles with same center o and of radii RA and RB where RA<RB. There angular velocities wA and wB are constant and initially the two objects form an angle θ. How long should the object A waits before he crosses object B...

Using the equation P2 = (4 * pi2 * a3)/(G(M+m)) to find the orbital period of Earth where: P = orbital period a = semi-major axis = 1.50e11 m G = 6.67e-11 m3 kg-1 s-2 M = mass of sun (in this case) = 1.989e30 kg m = mass of Earth = 5.972e24 kg I have been trying to find the orbital...

Homework Statement A metal sphere is attached to the end of a string and then set in motion such that it rotates in a horizontal circle as shown in the sketch. The metal sphere has a mass of 0.5kg and the radius of the circle is .2m. 1)Find the tension in the string 2)Calculate the radial...

$$ \begin{cases} x'=.05\left[y-\left(\frac{1}{3}x^3 - x\right)\right]\\ y'=-\frac{1}{.05}x \end{cases} $$ So this a Van de Pol equation where $\mu = .05$. It is basically a circle at the origin with radius 2. How do I find the period?

Homework Statement When plotting the centripetal force vs period graph, what goes on the x-axis and y-axis? I thought that since centripetal force does not depend on period, it goes on the x-axis, but now I'm not too sure. It also says plot Plot Fc as a function of T. Homework Equations The...

Consider a light flexible rod placed on a horizontle table with part of the rod (length say "x") hanging freely (ie without support of the table) see attachment for clarity A mass is also hung from the rod t one end. Are there any equations that relate the Period T of the end of the rod to...

Homework Statement Pendulum of unknown length, l, has period of 9.32 seconds. Length is increased by 1 metre, and time period increases to 9.734 seconds. Calculate original length of pendulum and determine whether the experiment was conducted on earth. Hint: g is not assumed to be 9.81 ms^-2...

can someone please tell me why is the time period of a simple pendulum independent of the mass m of the bob while the time period of a simple harmonic oscillator is T=2∏√m/k! pleaseeeee help . Thankyou sooo much :)

Homework Statement If you suddenly multiplied the mass of Earth by a factor of 4, how would the period of a satellite change, if the radius of its orbit did not change? 4 times as long 1/4 as long 2 times as long 1/2 as long Unchanged Homework Equations The...

Homework Statement So my book has a bunch of examples of graphs similar to sine or cosine graphs, where the maximums and minimums are the same (for example, the maximums might be 1, and the minimums will be -1). If I only have a graph to work with, I will just look at the waves and determine...

Clever guy that I am, I am writing a small paper on Celestial Mechanics...simplified...really really simplified. However, if I bore a tunnel through the Earth and drop a watermelon through it, the watermelon returns to my hand in 76 minutes. This is an example of an elliptical orbit of e=1 But...

can some one please help me calculate the time period of the signal cos(pi/8 n*n).

Homework Statement A block rides on a piston that is moving vertically with simple harmonic motion. (a) If the SHM has period 2.65 s, at what amplitude of motion will the block and piston separate? Homework Equations x(t)=xmcos(ωt + ∅) a(t)=-w2xmcos(ωt + ∅) Where xm is the amplitude...

Hi all, I have a seemingly simple problem which is I'd like to efficiently evaluate the following sums: Y_k = \sum_{j=0}^{n-1} c_j e^{\frac{i j k \alpha}{n}} for k=0...n-1. Now if \alpha = 2\pi, then this reduces to a standard DFT and I can use a standard FFT library to compute the...

Homework Statement We have the system consisting of a massless pulley and two massless springs as the picture shown below. Two springs has spring constants as /k_1 and /k_2. The object has mass m https://sites.google.com/site/hophammn/_/rsrc/1347478793251/home/pset1.jpg.1347478793003.jpg...

i just started studying special theory of relativity and am confused a lot. its first consequence,that is moving clocks run slow confuses me a lot. if two events happen then the time difference between them as measured by a clock in a frame moving at .9c would be lesser than the time measured by...

Consider a planet with a period of orbit to be 0.241 years and an average radius of 0.39 astronomical units. Calculate the period of a planet with an average radius of 1.4 astronomical units. If someone can answer and explain this question to me, I would be very thankful. I know it has...

Homework Statement Spinning Space Ship One way to provide artificial gravity (i.e., a feeling of weight) on long space voyages is to separate a spacecraft into two parts at the ends of a long cable, and set them rotating around each other. A craft has been separated into two parts with a...

The solution to a linear differential equation is, y=exp(ax). If a is complex ,say a=b+ic, then the period is T=2pi/c. My question is, if a is in polar form, a=r*exp(iθ), how is the period then T=2pi/θ. Any help would be great, Thank, Will

Homework Statement A Copper Ring with Radius r and mass m hangs by a thread and rotates with a period T. Ring's coefficient of self inductance is L . What would be a new rotation period of ring, if it was in a horisontal uniform magnetic B field, which is parallel to Ring's plane on a...

Homework Statement Consider a satellite in a circular, low-Earth orbit; that is, its elevation above the Earth’s surface is h ≪ R⊕. Show that the orbital period P for such a satellite is approximately P=C(1+ 3h/[2R⊕]). Homework Equations P2 = (4pi2)/(GM) * a^3. (G - gravitational...

Homework Statement What's the period to a 1 meter long physical pendulum string where L = 1M T=2∏√((2L)/(3g)) = 1.64s But, I did my own experiment, and the higher I dropped the pendulum the longer it took for it to travel 1 oscillation. What is going on here? Homework Equations...

Two part question: 1. I keep reading about large dinosaurs having nostrils the size of horses, thus not able to breathe in today's environment. Also, the oxygen content found in petrified amber, being higher than current day. Is there any new evidence or new theories about the environment...

I have yearly rain amounts and want to estimate the rain with 100 year return period assuming different distribution. I know some ways to do with for example normal dist. but it's not general for all pdfs.

Homework Statement What is T=2pi[(sqrt)l/g] rearranged for l= ? Homework Equations The Attempt at a Solution Ive tried a few but I just don't know how to do this with sqrt's of a fraction involved.

A mass of 361 grams is hung from the bottom of a vertical spring and the spring stretches 64.3 cm. The hanging mass is removed, and the spring is placed horizontally on a frictionless table. One end of the spring is held fixed and the other end is attached to a 649 gm mass. The 649 gm mass is...

Homework Statement https://fbcdn-sphotos-a.akamaihd.net/hphotos-ak-prn1/540902_3288133970847_49118976_n.jpg Homework Equations t = 2\pi \sqrt{}\frac{l}{g} The Attempt at a Solution for t t = 2\pi \sqrt{}\frac{l1}{g} t = 2\pi...

Hi everyone! Anyone knows what is the maximum displacement covered by a body in a time equal to half of its time period? Please also give an example. Thank you.

Homework Statement A planet's mean distance from the sun is 2.00x10^11 m. Determine the planet's orbital period. Use information found in textbook. Homework Equations So I use the following equations: R=h+Rs T=2∏√(R3/GxMs) From the textbook I got the following values...

Homework Statement Neptune is about 17.2 times the mass of Earth. Satellite N orbits Neptune with the same orbital radius as satellite E that orbits the Earth. Determine which satellite has the smaller period. Support your answer with appropriate calculations. Homework Equations I have...