Period Definition and 997 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...

I have a friend that has solved this problem already and he explained it to me and gave me some initial hints so I could see if I could solve it. You are trying to show that the period of the cycloid is independent on the point where you leave off the ball, and specifically that it is equal to...

Homework Statement http://img267.imageshack.us/img267/5830/80849533.jpg Picture. The volume of that cylinder is V = 1l. In that cylinder we have 1g of hydrogen m=0,001 kg. The cylinder is separated in two equal parts with m1=0,005 kg and d=0.006m length piston. Imagine that we pushed that...

Homework Statement Block “A” is released with initial velocity v=10 m/s. Find the period and the amplitude of oscillations after inelastic collision of block “A” with block “B”. The mass of block “A” is 2 kg, the mass of block “B” is 2 kg. The spring constants of the springs are 100 N/m and 300...

Homework Statement Assuming that the satellite's orbit is circular, show that its orbital period P at large distances (r>>a) is given by the expression: P=[(4pi/GM)^(1/2)] r^(3/2) (1-(3/4)((a^2)/(4r^2)) J(subscript2)) Comment on the behavious of P in the limits as r approaches infinity...

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...

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...

Hey guys, i can't figure this one out. a mass attached to a spring oscillates with an amplitude of 18cm; the spring constant is k=18N/m. when the position is half the maximum value, the mass moves with velocity v=27cm/s. a) determine the period of motion. b)find the value of mass i...

Hello all, Homework Statement A vibrating string 50.0 cm long is under a tension of 1.00 N. The results from five successive stroboscopic pictures are shown. The strobe rate is set at 5000 flashes per minute, and observations reveal that the maximum displacement occurred at flashes 1...

problem solved, thanks

can someone please tell me that "how period of a matrix can be determined?"

I'm not sure I'm in the right forum but I'll try and ask anyways. So I simulated a damped, driven pendulum in Java with the goal of showing period doubling/chaotic behavior. But then, as I was increasing the driving force, i saw the double period born. Then the 4-period...but then suddenly...

Homework Statement We're considering the following special case of the Duffing oscillator, in the limit of small nonlinearity: \ddot x + x + \epsilon x^3 = 0. The problem asks us to find a conserved quantity, and use it to write the period as an integral. Then, to write it as a power...

Homework Statement Adjust a program loop so frequency will change linearly with a keyboard increment or decrement. The current calculation adjusts about 40 counts in the delay loop but when the frequency gets high the step is frequency is very large with each decrement in the loop. A...

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...

Ok so i am doing a lab...and i graphed my data points and my slope turned out to be negative. The y-axis is in Newtons and the x-axis is in Meters. So my teacher said the the slope=k (constant) period of an oscillation formula: T=2pi(m/k)^1/2 But my k is negative so when i substitute all my...

Homework Statement A satellite is placed between the Earth and the Moon, along a straight line that connects their centers of mass. The satellite has an orbital period around the Earth that is the same as that of the Moon, 27.3 days. How far away from the Earth should this satellite be placed...

Homework Statement A weight suspended from an ideal spring oscillates up and down. If the amplitude of the oscillation is doubled, the period will Homework Equations The Attempt at a Solution There are no equations relating xm to T. Obviously it gets larger, but how do I find...

Homework Statement Let the potential energy of particle depend upon coordinate x as: U(x) = U0(1-cos(ax)). Where "U0" and "a" are constants. Find the period of small oscillations that particle performs about its equilibrium position. 2. Given Answer T = 2∏√(m/a2U0) The Attempt at a...

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...

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 mass-spring system has k = 105 N/m and m = 1.75 kg. If it is undergoing simple harmonic motion, how much time does it take the mass to go from x = A to x = 0? Homework Equations T=2pi*sqrt(m/k) The Attempt at a Solution Tried plugging in the values for the...

Homework Statement Challenge: a rather eccentric group of astronomy students wanted to celebrate the impact of the Shoemaker-Levy comet on Jupiter by holding a party of sufficiently long duration that their celebrations were simultaneous with the impact of the comet in all inertial reference...

Homework Statement Suppose that Captain Omega of the Imperial Space Patrol wishes to place a spy satellite in geosynchronous orbit above the mysterious Planet X, which has a mass of 5.90 x1024 kg, and a rotational period of 26.4 hours. (a) What should be the radius of the satellite's orbit...

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

1. Homework Statement Two Springs are present (one just infront of the other). The Spring towards the left has +Q charge and towards the right -Q charge (at their ends).The distance between the two charges is d. The Springs are of length l. Find the Time Period of the Simple Harmonic Motion...

Homework Statement Two Springs are present (one just infront of the other). The Spring towards the left has +Q charge and towards the right -Q charge (at their ends).The distance between the two charges is d. The Springs are of length l. Find the Time Period of the Simple Harmonic Motion if...

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...

Homework Statement Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are determined to be 41.7 km/s and 55.5 km/s. The slower planet's orbital period is 8.04 years. (a) What is the mass of the star? (b)...

I am trying the period of 2 cosine functions that are multiplied with each other, but I am blanking out on how to find them. For example, given a function like: x(t) = cos(10*pi*t)cos(20*pi*t) I know it has something to do with the frequency of both functions (10*pi & 20*pi), but I...

[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...

Is there a way to calculate the period of a trigonometric series (like the one below) analytically? x(t)=5sin(16t)-4cos(8t+3.1)

Homework Statement An Earth satellite is observed to have a height of perigee of 100 n mi and a height of apogee of 600 n mi. Find the period of the orbit. Homework Equations (1) Period = (2*pi/sqrt(mu)) * A^(2/3) (2) rp+ra = 2A Where: Mu is the Standard Gravitational Parameter...

Homework Statement An object rotates in a circle of 2m diameter. The angular speed is 2.5 rad/s. Calculate the period and frequency of rotation. Homework Equations frequency=1/period The Attempt at a Solution That formula seem funny considering i need a value to work out the...

Homework Statement A satellite is orbiting Earth 4200 km from Earth's surface. Considering the trajectory to be a circle, calculate the period of the orbiting satellite. Homework Equations a=v2/r F=GmM/r2 c=2r*PI v=l/t The Attempt at a Solution Well, the textbook gives the...

Hi. My problem is that even though I can find the Fourier series, its coefficients etc. I have trouble determining the period of equation. For example let's say we have f(t) = t, t \in [-pi,pi]. I thought that the period was 2pi but in the solution it says that the period is pi. This isn't the...

Hi, I am a bit confused regarding the relation between the acceleration and time period in simple harmonic motion. This questions asks what would be one change to the motion of a car's wing mirror in case the glass was switched for a heavier one. I don't understand for example, how would...

A fundamnetal question here; IS it that the terminologies natural time period and frequency are used only for simple harmonic motions and not for motions which are periodic/sinusoidal like an SHM?

For a example, x=16cos(10t+5π/3) ,S.I. How am i supposed to calculate the period?(in order to do the graph) Thanks in advance

[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...

Hi guys, i can't seem to find the answer . A satellite in Earth orbit has a perigee velocity of 8 km=s and period of 2 hours. From this information, determine all the orbit parameters that you can. From those parameters, determine its altitude at perigee...

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...

Dear all I am looking to write my own computer program for a Fourier transform. However my maths is very rusty and I will need to recap some things. I am struggling a little bit to recall the rules for the period of sines (or cosines) when they are MULTIPLIED. I haven't had much luck...

Homework Statement Beat pattern is superposition of two sine functions with a little frequency difference. (http://en.wikipedia.org/wiki/Beat_(acoustics)#Mathematics_and_physics_of_beat_tones) We use this pattern to generate a surface, by adding another beat pattern with 60 degrees...

Homework Statement A transmitter sends out 1.8x10^7 waves per minute and generates a standing wave pattern. The radio waves travel at the speed of light to a receiver 20.0km away. Determine : a) the frequency in herts b) period c)wave length d) the time for one crest to travel from the...

Hi I'm having problems with solving this question: a 90.0 kg skydiver hanging from a parachute bounces up and down with a period of 1.50 seconds. What is the new period of oscillation when a second skydiver, whose mass is 60.0 kg, hangs from the legs first? the answer is 1.94 seconds...

A bob of a pendulum has water filled in it. if a small hole is made on it the water continuously leaks . what happens to the time period then?

f(x)+f(x+4)=f(x+2)+f(x+6) where all functions are real valued

Homework Statement by using Newtons law of universal gravitaion and the relationship for the centripetal force, show that the orbital period T for a satellite circling a planet of mass M in orbit of radius r is given by : T= 2pi sqrt r^3/GM Homework Equations none given The...