Period Definition and 1000 Threads

Homework Statement A mass m attached to a spring of spring constant k emits sound at frequency f, detected by a collinear observer at distance r. If the mass has maximum velocity v_0, what is the total number of waves the observer detects in one period of oscillation? Homework Equations...

This is not a school problem, just my own mucking about, but since it has the form of a problem, I am willing to shift it to the "homework problems" rubric. If there is a theoretical string (no thickness, etc.) that is non-stretchable tied to two endpoints and is long enough to be able to form a...

Homework Statement Find the period of a low Earth orbiting satellite using Kepler Laws earth radius = 6.38E6 meters T^2/R^3 for Earth = 2.97E-19 (sec^2/m^3) Homework Equations 2.97E-19 = T^2/(6.38E6)^3 T^2 = (2.97E-19)(6.38^6)^3 = 77.1 T = 8.72 sec The Attempt at a Solution This is not...

Homework Statement State the amplitude, period, phase shift, and vertical shift: ##y=\frac{5}{2}sec\left(\frac{π}{x}-4π\right)-2## Homework EquationsThe Attempt at a Solution [/B] Amplitude: Amplitude is equal to the absolute value of a. So the amplitude here is ##\frac{5}{2}## Vertical...

1. Homework Statement The 4.00 kg cube in the figure has edge lengths d = 8.00 cm and is mounted on an axle through its center. A spring ( k = 1400 N/m ) connects the cube's upper corner to a rigid wall. Initially the spring is at its rest length. If the cube is rotated 4.00° and released, what...

Homework Statement I am given the total time of 4.56s per 10 oscillations but I need to find the average period from this. I feel like I am overthinking this. Homework EquationsThe Attempt at a Solution All I did was divide the time by 10 would that be right?

Homework Statement The picture illustrates a simple pendulum and and two physical pendulums ,all having the same length ,L. Class their period in ascending order. Homework Equations T = 2π / ( I/mgh) I = Icm + mh2 Icm=(ML2/12) The Attempt at a Solution I have found the period for first...

If a suspended pendulum bob is accelerated (in a car, for example), if you're in the accelerating frame of reference, you will observe the fictitious force which appears to act on the bob (as you're in the accelerating frame, the bob is not 'moving' so to speak, so to establish equilibrium you...

Homework Statement Assume the balance wheel of a torisonal pendulumn is doubled in size but the torison constant of the spring remains the same. The density of the disk remains the same, but bot the radius and the thickness double. What happens to the period of the pendulumn? a) Period doubles...

A mass attached to a spring is oscillating in Simple Harmonic Motion. If an other spring of same sprinc constant is attached parrallel to the other spring, what is the period of this new system (as a function of the initial period). Here's what I did and have no idea if this is right: For the...

Homework Statement Homework EquationsThe Attempt at a Solution U = 5x2 - 20x F = -dU/dx F = -10x + 20 The expression for force doesn't look like motion is SHM . How should I deal with this ?

Homework Statement 14.101 The orbit of Phobos, a Martian moon, has an eccentricity of 0.018 and a major semiaxis of length 9380 km. Determine the orbital period of Phobos Homework EquationsThe Attempt at a Solution Can you check my solution?

Homework Statement To find the time period of this simple harmonic motion Homework Equations F= -kx The Attempt at a Solution To check Simple harmonic motion first ,I have to displace the mass by some distance which I take to be x in this case. Therefore the spring will be displaced by a...

Homework Statement The question is in part 3 (image). Basically I used the formula for Period, T, of a pendulum of length L with free-fall acceleration g. I got 8.52, but I had to further divide this number by 4 to get the time the person must hang on in order to drop into the water at the...

1. Homework Statement The first astronauts to visit Mars are each allowed to take along some personal items to remind them of home. One astronaut takes along a grandfather clock, which, on earth, has a pendulum that takes 1 second per swing, each swing corresponding to one tick of the clock...

Hi! I would just like someone to verify that I am doing this correctly (and point out what I am doing wrong if I am not). A friend is getting T = 0.148s but I don't have her calculations, but I think I am solving the problem correctly and getting 0.9634s. 1. Homework Statement A 0.87 kg mass...

Homework Statement :[/B] Say for example I've got the equation of a SHM as: $$x = A \cos (\omega t + \phi)$$ where ##A## is the amplitude. How do I find the time period of this motion? Homework Equations :[/B] Stated above. The Attempt at a Solution :[/B] I tried by finding the second...

Homework Statement Homework EquationsThe Attempt at a Solution Time period of a simple pendulum is given by 2π√(L/g) . By uniform mass distribution , I am assuming density of mass of bob to be constant . I don't understand how time period depends on the mass of the bob of a simple pendulum .

1. The problem statement, all variables and gihttps://www.physicsforums.com/attachments/218400 ven/known data Assuming the string from a simple pendulum did not have negligible mass and the pendulum bob was not a point mass, then determine an expression for the period of a single small-amplitude...

Homework Statement Homework EquationsThe Attempt at a Solution I don't have much idea about how to approach this problem . Presence of two strings makes it quite difficult . Is it a compound pendulum ? But where is the pivot point about which the plate is oscillating . About which point...

Homework Statement Homework EquationsThe Attempt at a Solution Length of the unstretched springs is L .Suppose block is pushed towards C by a small distance x . This causes a change in length of springs B and C . Their new length is L+∆L .Consider spring B. If the new length makes a small...

I was just wondering if there was any proof that the medieval period had more conflicts like wars etc. but with less (peace) negotiation between parties than now? Thanks so much!

Homework Statement I need help getting started with this problem At what altitude above the surface of the Moon must a lunar module orbit in order to complete each orbit in 1 h 49 min 39 s? Homework Equations g= Gm/r^2 ? The Attempt at a Solution Not quite sure how to start or anything , any...

Dear all Something is bugging me. I hope you can help. I read in texts that if f(t) = sin(t) then the period of the function is the time taken (secs) to complete one cycle. I also read in texts that if f(t) = sin(2t) then the period of the halved. No problems here. I see that (2*t) = (omega*t)...

Hey, this is going to be my first post here so I'm not sure how it all works, so just tell me if I do something out of order please. Anyway I have been given this homework assignment and part of it was the question stated below...

Hi, I start at 100 MHz have 10 carrier frequencies all starting in phase at t=0 and the carrier frequencies have 25 kHz spacing. So my frequency range is 100-100.25 MHz, with 10 single frequencies equally spaced in this range. They are therefore all different frequencies, spaced 25khz apart...

Hi, I start at 100 MHz have 10 carrier frequencies all starting in phase at t=0 and the carrier frequencies have 25 kHz spacing. So my frequency range is 100-100.25 MHz, with 10 single frequencies equally spaced in this range. They come in phase every 4x10-5 seconds. The equation Frequency = 1...

Homework Statement A thin 0.50-kg ring of radius R = 0.60 m hangs vertically from a horizontal knife-edge pivot about which the ring can oscillate freely. If the amplitude of the motion is kept small, what is the period? Homework Equations T = 2pi / ω Not sure what others... The Attempt...

Homework Statement [/B]A heavy mass ##m## is suspended from two identical steel wires of length ##l##, radius ##r## and Young's modulus ##Y##, as shown in the figure above. When the mass is pulled down by a distance ##x## ##(x<<l)## and released, it undergoes...

Let us say there are two springs each of mass m and each having a spring constant k. If the two springs are connected in parallel to a mass M and are made to oscillate, what will be the time period of oscillations??

Homework Statement Given circuit is a circle, force is a central force[/B] Ueff(r)=U(r)+L^2/2mr^2 Homework Equations the problem i find is, the angular momentum is a function of r however, the solution when differentiate the effective potential, just treat angular momentum as a constant. That's...

Hello! I am reading this paper and on page 9 it defines the De Rham's period as ##\int_C \omega = <C,\omega>##, where C is a cycle and ##\omega## is a closed one form i.e. ##d\omega = 0##. The author says that ##<C,\omega>:\Omega^p(M) \times C_p(M) \to R##. I am a bit confused by this, as...

Homework Statement An object with mass m is attached to a string with initial length R, and moves on a frictionless table in a circular orbit with center C as shown in the figure. The string is also attached to the center, but its length is adjustable during the motion. The object initially...

Homework Statement A small mass m is suspended from a string of length L. The body revolves in a horizontal circle of radius R with a constant speed v. Find the speed of the body and the period of the revolution. Homework Equations ΣFx = Tx = mV^2/r Period = (2πr)/V The Attempt at a...

My question might seem simple, however I couldn't find data on this. Let me explain my situation: I'm involved in a project about the formulation of new criteria to avaliate exoplanetary systems for search of extraterrestrial intelligence. The key question is mostly around the element...

Let's say I have a metallic beam that is held so that it is parallel to the ground (0 degrees). What are the factors that affect the oscillating period of this metallic beam? I release it from a specific height so that isn't a factor. Elasticity - won't a highly elastic metallic beam have a...

Homework Statement Homework Equations ## u = 1/2 a x^2\\ ke = 1/2 b {\dot x }^2\\ then\\ \omega = \sqrt{\frac{a}{b}} ## The Attempt at a Solution ## U = \frac{2 k q ^2}{l} + \frac{k q^2}{2 l cos \frac {\theta}{2}} ## from that it is easily seen that equilibrium position is when the...

Homework Statement A pendulum shortens due to a change in temperature, decreasing the length L and therefore period T. How many seconds ahead does the clock get in 24 hours? We assume that the grandfather clock is completely accurate at a normal pendulum length. Li = 1.3 m ΔT = -10°C Homework...

Homework Statement Your friend tells you he has a very simple trick for taking one-third off the time it takes to repay your mortgage: Use your Christmas bonus to make an extra payment on January 1 of each year (that is, pay your monthly payment due on that day twice). If you take out your...

Homework Statement A solid cylinder of mass, M, is connected to two springs of total stiffness, k. The springs are connected tangentially (on top) to the cylinder. The other ends of the springs are attached to walls. What is the period of oscillation of the cylinder assuming that it does not...

Homework Statement In an infinite flat layer of thickness 2d, volume charge density is given according to the law: ρ=(ρ°)(x)/d and (-d≤x≤d). Here, x is the axis perpendicular to the plane. In the layer, there is a thin channel in which a point dipole of mass m and dipole moment p is placed...

Hi, I'm new here.. and today I got some blood taken out (for the first time.) I was giving blood to make sure I didn't have celiac disease. The doctor wanted this because I am currently having an acid reflux issue.. likely relating to a stomach ulcer. Anyways.. since it was my first time, the...

Homework Statement Given the wave form, determine the period, frequency, peak amplitude, peak to peak amplitude, voltage offset, phase angle, signal equation, rms voltage.Homework EquationsThe Attempt at a Solution Hi! So the main issue I'm having with this problem is reading the values I need...

Okay...The time period of a pendulum is independant of its mass and amplitude.For the "independance of mass",the reason is that, for same amplitude (distance from mean position), any change in mass would have no effect on the acceleration of the mass (gravitational acceleration is...

Hello! (Wave) I want to find the Fourier series of $f(x)=x, 0 \leq x<1$. It is a series with period $1$. In our case, the function is odd. So in order to find the Fourier series, we would find the odd extension of $f$ and then use the following formulas: $a_n=0 , \ \ \forall n \geq 0$...

Homework Statement If the amplitude of a weakly damped oscillator decreased to 1/e of its initial value after n periods, show that the frequency of the oscillator must be approximately [1 − (8π2n2)-1] times the frequency of an undamped oscillator with the same natural frequency. Homework...

Homework Statement I'm writing a small project as part of my degree, and I am stuck on proving one (probably simple!) thing towards the end. I've shown that the pendulum is periodic and has a total period of 4t2. Homework Equations [/B] The Attempt at a Solution I think I need to...

Homework Statement :[/B] The figure shows a pulley block system in equilibrium. If the block is displaced down slightly from its position and released, find the time period of the oscillation. Assume friction is sufficient. I: moment of inertia of pulley k: spring constant R: Radius of pulley...

I have been trying figure out how to solve the the period of the system of the two equations in the system. I have been searching for examples but this specific topic isn't documented on the internet very well or I'm not very good and searching. Any help would be appriciated.

Homework Statement Recently did a lab experiment were 3 different flight conditions were applied to the same aircraft to see how it affected the aircraft dynamics, we analysed the results by two different methods 1.) calculate using the flight coniditons with a formula sheet and 2.) we printed...