Period Definition and 1000 Threads

Homework Statement Find the time period of the mass m as shown in the spring-block system. Neglect air resistance and pulley and springs are massless. All the three springs shown have spring constant k .Homework Equations The Attempt at a Solution I am not really sure how to start with this. If...

Homework Statement Determine the value of ω such that the peak value of i(t) is 2A. Homework Equations Ipeak = (Irms *(2)1/2) Zc = -j/ωC I = V/Z The Attempt at a Solution Irms = 2A/(2)1/2 Irms = 1.41A1.41A = 25V (?) /( ω * 0.002F) ω = 25V / (1.41A * 0.002F) ω = 8865 r/s

Homework Statement Consider the system of equations : x' = x-y-x^3 and y'=x+y-y^3 a) Draw a phase plot ( Done numericlly program listed here in matlab) b) Prove analytically that at-least one stable cycle exists ( Used Poincare Bendixon theorem to prove done) c) Compute the period of...

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 Fourier coefficients: A_0=0, a_n=0, b_n=2/(n∏) ; period p=2 Homework Equations Fourier series The Attempt at a Solution Attempt was not good enough!

Homework Statement Homework Equations The Attempt at a Solution I have tried to attack this problem with two methods but no luck. I always end up with something gibberish. :/ Method 1: Considering the forces on anyone charge, the net force on a charge is...

Hey, so I have this question Figure 1 shows a short duration segment of a speech waveform that has been sampled at 16,000 samples per second. The x-axis shows sample number, while the y-axis shows amplitude. (i) From the plot, is the speech signal voiced or unvoiced? State your rea- soning...

Homework Statement A planet of mass ##M## moves around the Sun along an ellipse so that its minimum distance from the Sun is equal to ##r## and the maximum distance is ##R##. Making use of Kepler's laws, find its period of revolution. (Ans: ##\pi \sqrt{(r+R)^3/(2GM)}##) Homework...

Homework Statement This isn't really homework, but I've been reviewing calc & trig and realized that the area of one period of sin(x) = 4. Since sin(θ) can be understood as the y-value of points along a unit circle, I noticed that the area of a unit square that bounds the unit circle is...

Homework Statement Homework Equations The Attempt at a Solution (see attachment 3) If the middle charge is moved a y distance, then the other two move a distance y/2 in opposite direction. Similarly, the velocity in y direction of other two can be also calculated. As the rods are rigid, the...

Homework Statement An artificial satellite is traveling in a circular orbit around the earth.The radius of the orbit from the Earth's center is r.Assume that the Earth is a uniform sphere of radius R.The magnitude of acceleration due to gravity at the surface is g.What is the period of the...

Homework Statement A particle oscillates with amplitude A in a one-dimensional potential that is symmetric about x=0. Meaning U(x)=U(-x) First find velocity at displacement x in terms of U(A), U(x), and m. Then show that the period is given by ##4\sqrt{\frac{m}{2U(A)}}\int_0^A...

I'm trashing the template here because I'm not looking for help with how to solve my homework problem. Instead, I'm looking for what my question actually means! I'm given an equation that describes a magnetic field. One of the specs I'm given is that the magnet period is 10cm. What in the...

Homework Statement QUESTION A cancer patient is typically given an intravenous dose of Metastron with an activity of 148 MBq. Calculate the activity after 6 months (183 days). PREVIOUS INFORMATION Physical half-life of Metastron = 50.5 days Biological half-life of Metastron =...

What is "function of period unity"? Hi, I'm reading an article that has a sentence saying "where P is a function of period unity.". Here. I've been looking for what does it mean but without any success. Does anyone know?

Homework Statement f(x)=e3(x-[x]) [] denotes greatest integer function Homework Equations The Attempt at a Solution f(x)=f(x+T) e3{x}=e{x+T} Taking ln of both sides 3{x}=3{x+T} {x}={x+T} x-[x]=x+T-[x+T] T=[x+T]-[x]

My question is what sort of material/matter existed to allow an expansion of the early universe? It had to be some sort of vacuum state...and it had to be lower/negative values outside of the expansion?

Homework Statement A musician frets a guitar string of length 1.5 m at x = 0.34 m with one finger, and simultaneously plucks the string at x = 0.17 m with another finger (raising it to a height h = 2.1 mm. Both fingers are simultaneously removed from the string, and it is allowed to vibrate...

If we have f(k)=Asin(\frac{xa}{2}). Then it was mentioned that f(x) is a periodic function with period \frac{Δx.a}{2}=π. How come? Thanks! Please note, A and a are constants.

Homework Statement Find period of the function f(x)=cos(cosx)+cos(sin x) Homework Equations The Attempt at a Solution the period of cosx=sinx=2∏. But here cosx and sinx are itself arguments to cosine function.

So here's a question I'm struggling with: The rotation speed of the sun around the Milky Way center is 220 km/s and it takes the sun around 200 million years to orbit once around center of the galaxy. Given that the rotation curve is relatively flat (i.e. the rotation speed stays the same as...

Would it be possible to have a satellite orbiting Earth slowly enough that it always stays between Earth and the sun? Not necessarily directly between so that its shadow is always on Earth, but such that, with an orbit that would take it "behind" Earth, it would orbit at a speed such that when...

If a rugby player is running at 3.69 m/s and then decides to sprint in a straight line for a ball and 3.27 seconds later is running at 7.29 m/s, what is their average acceleration during that time? Units and direction of travel are not required Homework Equations The Attempt at a...

Homework Statement If period of simple harmonic graph of electric current goes down by 20%, how will change the angular frequency? Will it increase by 25π%? 25%? 50%?... Homework Equations T = 2π/ω The Attempt at a Solution So by going down by 20%, so 100%-20%, I have...

Would someone kindly take a look at my geogebra snapshot attached, and tell me a more formal way of representing the formula for the period of a trig function of form: f(x)=Acos(bx)$$ where A is amplitude and b is period Thanks, D'abs http://www.mathhelpboards.com/images/mhb/misc/paperclip.png...

Homework Statement In a certain binary-star system, each star has the same mass which is 7.5 times of that of the Sun, and they revolve about their center of mass. The distance between them is the 7.5 times the distance between Earth and the Sun. What is their period of revolution in years...

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...

1.A mass is attached to a vertical spring, which then goes into oscillation. At the high point of the oscillation, the spring is in the original unstretched equilibrium position it had before the mass was attached; the low point is 5.8 cm below this. Find the oscillation period...

Homework Statement A particle of unknown mass moves in a circular orbit of radius R under the influence of a central force centred at some point inside the orbit. The minimum and maximum speeds of the particle are vmin and vmax respectively. Find the orbital period T in terms of these speeds...

Homework Statement If a pendulum is shortened, does its frequency increase or decrease? What about its period? Homework Equations The Attempt at a Solution I think that the frequency will increase because the length of the string will now be shorter. As far as the period I...

Assume that a mass is attached to an elastic band and then allowed to oscillate. Would the formula for the period of oscillation be that as the same of the formula for the period of the oscillation for a spring. T=2∏(√m/k) ?

This question has me completely baffled. So here it goes:A spring oscillates with a period T and an Amplitude A. Solve for period and amplitude in terms of a[max] and v[max] My math always comes out with an answer I know is wrong. Can anyone be kind enough to assist me?Much appreciated.

Homework Statement Find the period of a pendulum with a length of 35 cm. Homework Equations I know that you can find period with the equation my teacher gave me: T(period in sec)=1/f(frequency in hertz) but that doesn't have anything to do with cm. I'm clueless on what equation to use...

Homework Statement We have U-shaped tube filled with liquid , if liquid is displaced through length 'x' find time period of SHM please help me :confused:

Hi I am doing my geodesy lab and don't really know how to calculate period of gyro? How the Precession Period of A Gyroscope is calculated? given D= diameter of gyro, f= spinng freq w= weight , g =9.8 and distance d= distance between center of gyro and for example Sun Assumption...

Homework Statement (a) Consider a binary star system in which the two stars have masses M1 and M2 and the stars move on circular orbits separated by a distance R. Derive the formula for the period of revolution. (b) Suppose M1= 1.22M and M2= 0.64M (where M = mass of the sun) and R= 0.63...

Homework Statement (see attachment) An iron rod of length L is hung at a common point with threads of length \ell which are attached to the two ends of the rod. The rod is displaced a bit in the plane of the threads. What is the length of the threads if the period of the swinging of the rod...

Homework Statement A toy truck moves around the outside of a circle of radius 0.6m at 2 revolutions per second Calculate: a: the angular speed of the truck b: the linear speed of the truck c: the period of revolutionHomework Equations ω= \frac{2π}{T} \\ v=rω ?? The Attempt at a Solution For...

Homework Statement Two masses are connected by spring and slide freely without friction along horizontal track. What is period of oscillation?Homework Equations The Attempt at a Solution My solution: let x1 be position of mass 1 (m1) and x2 be position of mass 2 (m2) and L be length of...

Period does not depend on amplitude. Correct? I deduced this from the equations for simple harmonic motion: ω=2πf ω=√(k/m)

. Homework Statement A train has a mass of 5.77E+6 kg and is moving at 99.4 km/hr. The engineer applies the brakes, which results in a net backward force of 1.11E+6 N on the train. The brakes are held on for 26.9 s. What is the new speed of the train? How far does it travel during...

As the title suggests, there is a practical in which we have to find mass of the spring (m*) having a block of mass M attached to bottom, from GRAPH of time period (T)^2 against M. Here's what the practical handbook says: T^2= [16{(pi)^2}(R^3)N][M+(m*/3)] / [(r^4)n] there is no...

Homework Statement An artificial satellite circles the Earth in a circular orbit at a location where the acceleration due to gravity is 6.32 m/s^2. Determine the orbital period of the satellite [in minutes].Homework Equations g= G \frac{M_E}{r^2} Solving for r, and G is a constant T^2=K_sr^3...

Homework Statement If the gravitational acceleration at Earth's surface is given by: g = GMe/Re^2, show that the period of rotation of a spaceship needed to make an astronaut feel the same normal force on the ship that they would feel on Earth, when it is given by T = √[(4pi^2)(Rs)(Re^2)/GMe]...

Homework Statement Determine the period of oscillation, as a function of the energy, when a particle of mass ##m## moves in a field for which the potential energy is $$ U = U_0 \tan^2\alpha x.$$ Homework Equations The relevant equation is given by the general formula for the period...

Homework Statement From K&K's 'Intro to Mechanics' Find the shortest possible period of revolution of two identical gravitating solid spheres which are in circular orbit in free space about a point midway between them. Homework Equations The Attempt at a Solution So I figured...

Homework Statement The time period of a simple pendulum is doubled when the length of the pendulum is increased by 3.0m. What is the original length of the pendulum? Homework Equations T= 2∏√(l/g) also l is original length and l+3 is the new length The Attempt at a Solution So...

In the above figure, what would be the time period of the body(in red) under gravity, neglecting any non-conservative forces? And what do call this type of situation? A gravity well or sth?

I understand and completely accept the evidence for the former but i was just reading the greatest show on Earth and richard was saying how our domestic dogs are directly evolved from wolves, not foxes or anything else. If that's the case, wouldn't the lame argument "if we evolved from chimps...