Period Definition and 1000 Threads

Homework Statement A liquid (density ρ) is poured into a bent tube such that the two halves of the bent form angles α and β with the horizontal. The length of liquid column is l. If one of the liquid levels is depressed and released, the levels begin to vibrate. Find the period of vibration...

A mass m slides on a frictionless horizontal surface, connected to two springs, as shown below. If the force have constants K1 and K2 , show that the simple harmonic sliding motion has period. T= 2 Pie (Square Root X m { K1+K2/K1K2}) So far I have →From equation T= 2Pie{SquareRoot(m/k)...

Homework Statement Find the period of oscillation, T, of a little charged ring that is free to move along a vertical wire when placed equi-distant between two like charges above and below it. Small displacement only. Treat the “little” ring like a point charge and use the binomial expansion...

Homework Statement The figure shows a 200 g uniform rod pivoted at one end. The other end is attached to a horizontal spring. The spring is neither stretched nor compressed when the rod hangs straight down. What is the rod’s oscillation period? You can assume that the rod’s angle from vertical...

Homework Statement Homework Equations See below The Attempt at a Solution My book derives the period of oscillation through the tunnel: T = 2pi/w = 2pi*sqrt(m/k) = 2pi*sqrt(3/(4pi*G*p)) = sqrt(3pi/(G*p)) Where p is the density of the asteroid, and G is the Newton's gravitational...

Hi, what is the name of the variable star with the longest period? I know Mira variables are in general the longest, but which particular star has the longest period? Thanks.

Homework Statement A small plate of mass m is suspended by a light string of length l .A monochromatic light beam starts falling on it and is completely absorbed. If the energy falling on the plate per unit time is W, then find the time period of oscillation? Homework Equations The Attempt at...

I'll jump straight to my query. If PE = mgh, and if the "m" is increased, the PE shall also increase. Neglecting friction, Total mechanical energy(TME) = PE + KE. Since PE increases, the total mechanical energy of the system shall also increase. At its equilibrium position, where PE = 0...

why do we square the value of T ( time period) while plotting the graph of effect on time period of a pendulum with change in its effective length ? also while deriving the formula of T=2∏√(l/g) why do we take T^2 = 1/g. Whats the need for squaring the time period ?

Hey! :o The Fourier series of $f$ is $$f(x) \sim \frac{a_0}{2}+ \sum_{n=1}^{ \infty} {(a_n \cos{(\frac{2 n \pi x}{L})}+b_n \sin{(\frac{2 n \pi x}{L})})}$$ How do we know that the series of the right part of the above relation is periodic with period $L$?

I've carried out some testing on a PWM controller using a 555 timer IC (see attached for circuit diagram) and I am having a little trouble understanding the results. When the POT resistance is increased the duty cycle decreases. As I understand it, when the resistance is increased the voltage...

Trying to see the logic in deriving length contraction and time dilation using the Lorentz transformations and inverse Lorentz transformations. In the following treatise it leads to ambiguities. Given ##Δ\acute{t}=\gamma(Δt-\beta c^{-1}Δx)## (1) ##Δ\acute{x}=\gamma(Δx-\beta c Δt)##...

I have a 3 rad/s sine wave that I am sampling every 2 seconds. The slow sampling has created an alias of -0.14 rad/s. I have plotted this over the top of the original continuous time signal, please see attachment. My problem is that I only want to plot the first period of the discrete signal...

Homework Statement A newly discovered asteroid orbits at twice the Earth-Sun distance. Find its period of orbit (in years). Homework Equations I know that I'm supposed to use Kepler's third law to determine this. T2 = Kr3 K = 4∏2/GM and the Earth-Sun distance is of course 1 Au...

Suppose there are 3 different curves. How do I determine if they have the same period? I am aware of how to calculate period but how do we determine if they have the same period graphically? 1) what is the idea behind x(t) = x(t+T)? 2) must all 3 curves cuts a particular horizontal at...

Homework Statement Determine the oscillation period, as a function of energy E, when a particle of mass m moves in a field with potential energy V(x)=-V_0/cosh^2(\alpha x), for -V_0 < E < 0 with Vo positive. (a) First show that, with s=sinh (α x) and determining the appropriate smax ,the...

Homework Statement A planet P orbiting the Sun S is acted upon by a force F= -(mu*r)/r3 (itex won't work here for some reason :S ) per unit mass where \mu is a positive constant and r is the vector \stackrel{\rightarrow}{SP} If the orbit of the planet is a circle of radius a, show that the...

I have a room with no cooling. Room info : w = 5m l = 4m h= 2.5m Heat dissipation from equipment in room= 65kw Ambient temp = 20 degrees celcius I need to know the temperature rise over a one hour period Please help Thanks

Homework Statement If a simple pendulum has a metal bob having negative charge and is allowed to oscillate above a positively charged metallic plate will the time period increase, decrease, become zero or remain the same. Could you guys please give me an insight into what happens in the...

Here is a recent paper describing Deep Long Period Earthquakes discovered in Antarctica. A large eruption might melt enough ice to raise sea levels. The paper costs $$money to read, however: “Volcanology: Mobile magma under Antarctic ice” John C. Behrendt1 Nature Geoscience 6, 990–991...

Homework Statement https://docs.google.com/gview?url=http%3A%2F%2Fwww.mycollegebag.in%2Fuploads%2F9%2F2%2F0%2F3%2F9203182%2Fchapter_12_simple_harmonic_motion.pdf&docid=31dfd636644a39577f33426fb9afdf23&a=bi&pagenumber=6&w=561Homework Statement I am referring to the second figure( q19) It says...

Homework Statement You have two springs with spring constants k_1 = 10 and k_2 = 20 vertically attached to a wall, and a mass of mass 3.00kg is hung from it. Find the period of oscillation. ---------------- || || <-- first spring, k_1 = 10 || -- || || <== second...

A 870·kg car strikes a huge spring at a speed of 16·m/s, compressing it 10.0·m. How long does it take the spring to stop the car? 2. Homework Equations - T= 2pi√m/k I don't know why I can't get this problem right. I have 2pi√870/2227.2=3.92 then you would divide that by 2 because it's half the...

Homework Statement The figure below shows the pendulum of a clock in your grandmother's house. The uniform rod of length L = 2 m has a mass m = 0.8 kg. Attached to the rod is a uniform disk of mass M = 1.2 kg and radius 0.15 m. The clock is constructed to keep perfect time if the period of the...

Ok so I have a project and I have to measure the sidereal synodic rotation period of the sun using sun spots. I have included a diagram of what to do. but I will explain it too. you take 5 images with a common sunspot and track it's movement on those 5 days (on the diagram, the sunspot is...

Homework Statement A light wave has a frequency of 6 x 1014 Hz. A) What is its period? B) What is its wavelength in a vacuum? C) When the light wave enters water, its velocity decreases to 0.75 times its velocity in vacuum. What happens to the frequency and wavelength? Homework Equations...

Homework Statement A 0.16-kg mass is hanging from a spring with spring constant 14 N/m. Then the mass is displaced from the equilibrium by 2.9 cm and let go. Homework Equations the period is the time for a one full cycle so the equation would be T= 2∏sqrtm/k The Attempt at a...

Homework Statement If a satellite is to orbit Earth at an altitude of 1.00x10^3 Km, what would be its orbital period? rs = 1.00x10^3 km, Mearth = 5.97x10^24 kg, Gravitational Constant = 6.67x10^-11 Homework Equations T= 2∏√r^3/GM The Attempt at a Solution rs = 0.815484549m...

time period of a "SPRING" Homework Statement A spring has mass is m and natural length "L" and spring constant "k" has its one end fixed and the other end stretched by a length "a" and released.What is the time period of its oscillations?(there is no other mass attached to the spring,only the...

Let's have y = sin(k(a+vt))*sin(ωt) where k, ω, a and v are all positive real numbers. What is the period of this sinusoid in terms of k, ω, a and v?

Hi, I'm a student working with my group to create a lab for our final lab project. Me and my teammates are stuck on how we should begin to set up the project. I attached 4 photos, one of the pendulum setup, one of the model of our pendulum setup, and two others of the lab sheet guide. The...

Homework Statement A mass m slides along a frictionless horizontal surface at speed v initial. It strikes a spring of constant k attached to a rigid wall. After a completely elastic encounter with the spring, the mass heads back in the direction it came from. (a)In terms of k, m, and v...

Homework Statement A mass m=.25 kg is suspended from an ideal Hooke's law spring which has a spring constant k=10 N/m. If the mass moves up and down in the Earth's gravitational field near Earth's surface find period of oscillation. Homework Equations T=1/f period equals one over...

Homework Statement Two double stars of the same mass as the sun rotate about their common center of mass. Their separation is 4 light years. What is their period of revolution? Homework Equations Lagranian = T - U = \mu\dot{r}^{2}/2 + \vec{L}^{2}/2\mu r^{2} - Gm_{1}m_{2}/r F = ma =...

Q: http://gyazo.com/1ee7eee0134c25a23b4ad7a6972e1e46 part a) I have drawn the graph and calculated ## V'(x) = \dfrac{3\lambda x^2 (x^4 + a^4) - \lambda x^3(4x^3)}{(x^4+a^4)^2} = 0 ## and found using the graph that the value of x when the particle is in a stable equilibrium is ## x=...

Homework Statement Put of curiosity I have tried to derive a formula for the time period of a pendulum that oscillates under gravity. Below you can find my workings, which I have checked on wikipedia and the workings are practically identical. However I got stuck at one point, and this is...

Homework Statement if a pendulum has a period of .36s on Earth, what would its period be on the moon Homework Equations T=2pi sqrt l/g The Attempt at a Solution How do u go about solving thAt without length?

Homework Statement The three planets (v1, v2 and v3) in the diagram all have similar mass and are in a line equally spaced so that v1 and v3 are orbiting around v2 synchronously. If the mass of each of the planets are M and the radius of the orbit is R, what is the orbital period...

Homework Statement Numerically determine the period of oscillations for a harmonic oscillator using the Euler-Richardson algorithm. The equation of motion of the harmonic oscillator is described by the following: \frac{d^{2}}{dt^{2}} = - \omega^{2}_{0}x The initial conditions are x(t=0)=1...

Consider f(x) = \sin{(ex)} and g(x) = \sin{(\pi x)} Determine the period of f(x) + g(x)? Is it possible? Would LCM[\frac{2\pi}{e}, 2] = \frac{2\pi}{e}?Homework Equations e = \lim_{h \to 0} (1 + h)^\frac{1}{h} \approx 2.718281828 The period of the sum of the functions would be the LCM of their...

Homework Statement $$f(x)=sin2x+cos4x$$ Homework Equations The Attempt at a Solution $$The\quad period\quad of\quad sin2x\quad is\quad π.\quad The\quad period\quad of\quad cos4x\quad is\quad \frac { π }{ 2 } .\\ \\ What\quad is\quad the\quad period\quad of\quad f(x)?$$

Hi guys, I know that this question may be silly but could you please tell me how do i go about. if $$\phi(2x+3)+\phi(2x+7)=10,\\\\\\\forall x\in\Re$$,find the period of $\phi(x)$.

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 Homework Equations The Attempt at a Solution I really don't know how to start with this problem. The four point masses of mass m oscillate together so I am confused as to how should I begin making the equations. Just a guess, should I write down the expression for potential...

Homework Statement a. What is the tangential velocity of a satellite in a circular orbit 300km above the surface of the Earth? Homework Equations Velocity of a satellite= v^2= G (Me/r) The Attempt at a Solution V^2= 6.67E-11 (5.98E24/6.37E6) I calculated this and my answer...

Homework Statement "A 40 kg child sitting 6.0 m from the center of a merry-go-round has a constant speed of 6.0 m/s. The net work (in Joules) done on the child after making one complete circle on the merry-go-round is?"Homework Equations a=V^2/r F=ma C=2pi*r The Attempt at a Solution C ≈...

Homework Statement A particle of mass m is oscillating with amplitude A in 1D (without damping). Using conservation of energy, I'm asked to determine the period T with the correct proportionality factor and period of integration. Homework Equations Potential energy: U(x) = a x^2 + b x^4...

based on the data in the table I want to calculate the orbital period of the eclipsing binary but I want to state my answer in equation form so that any observer can predict the times of future eclipses. Does anyone have an idea on how I go about doing that with the given data. I tried to find a...

Homework Statement Consider a single coil that is turning in a constant and uniform magnetic field {\bf B} thanks to a motor. The normal to the coil is given by: $${\bf u}(t)=\sin (\omega t){\bf u_x}+\cos(\omega t){\bf u_z}$$ How can we obtain the energy that the motor has to spend in a...

How do you solve questions of the type: Find the period of the voltage a) 3cos(2500t) + 4(7500t + pi/2) b) a generic waveform: a*cos(x*t)+b*cos(y*t + theta) I saw questions similar to the above while going through a book. I attempted such questions when I was in college, but don't...