Period Definition and 997 Threads

Homework Statement A 175g mass attached to a horizontal spring oscillates at a frequency of 2.0Hz. At one instant, the mass is at x = 5.0cm and has Vx = -20cm/s. Determine the following. a.) the period b.) the amplitude c.)the maximum speed d.)the total energy Homework Equations...

What is orbital period?

The 3.00 kg cube has edge lengths d = 6.30 cm and is mounted on an axle through its center. A spring (k = 950 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 3.00° and released, what is the period of the resulting SHM...

[SOLVED] Simple Harmonic Motion - Period (T) 1. A pendulum oscillates with a period T. If both the mass of the bob and the length of the pendulum are doubled, the new period will be _____. 2. T = 2(pi) x rad (k/m) 3. Since L is not a part of the equation, it shouldn't affect...

I wasn't sure where to post this problem, as it's physics related, but rather advanced in its math content (and it's a problem for my applied math course). Homework Statement Considering a spring-mass system (like http://www.cs.toronto.edu/~faisal/teaching/notes/csc418/faisal/img/sm1.gif" )...

I did a pendulum lab and determined that length affected the period. So the values got where: 10 cm = 6.47 s 15 cm = 7.895 s 20 cm = 8.94 s 25 cm = 9.89 s 30 cm = 10.5 s 35 cm = 11.905 s With these values, it seems like graphing this straight as it is results in a linear line, but I...

Homework Statement In Fig. 16-41, a stick of length L = 1.6 m oscillates as a physical pendulum. (a) What value of distance x between the stick's center of mass and its pivot point O gives the least period? (b) What is that least period...

Homework Statement I'm looking for the period of an orbiting object a certain height from the Earth's surface, I am given this height. So I have the total radius of 6,5OO,OOO m, g = 9.81 m/s^2 and the mass of Earth = 5.98*10^24 kg Please note that for this problem G is another constant...

A mass which is resting on a horizontal frictionless surface is connected to a fixed spring. The mass is displaced 0.16 m from its equilibrium position and released. At t = 0.50 s, the mass is 0.08 m from its equilibrium position (and has not passed through it yet). What is the period of...

Homework Statement A large population of nominally identical "fail to close" control valves are put into service on the same day on similar installations. The number of valve failures per month N was recorded over time and shown to be given approximately by the following equation Calculate...

Homework Statement True or False Quadrupling the mass will double the period. Tripling the amplitude will sextuple the frequency. Doubling the amplitude will not change the frequency. Halving the amplitude will quadruple the frequency. Doubling the spring constant will halve...

Period of a Star...Please help! Homework Statement The mass of a star is 1.250×1031 kg and it performs one rotation in 36.30 day. Find its new period (in days) if the diameter suddenly shrinks to 0.590 times its present size. Assume a uniform mass distribution before and after. I don't...

A star has a mass approximately 100 times that of our sun. If a planet with the same mass as the Earth is oribiting at a radius similar to that of the Earth's radius around the sun, how long would it take the planet to revolve around the star once? Ok, the period of the Earth's rotation is...

iI was asked to find the mass of a star given the orbital distance and the period. my mass came out to be 2.31^30 kg. Its then asking me to express it in terms of our sun's mass. Really don't understand what it means by that

Homework Statement A satellite is in a circular orbit about the Earth (M = 5.98 x 1024 kg). The period of the satellite is 7.12 x 104 s. What is the speed at which the satellite travels? 2. The attempt at a solution I used the equation: http://img171.imageshack.us/img171/7176/math062gg0.gif...

Here is the question: Gently displace the mass and release it so that it performs vertical oscillations. Make measurements to determine the period T of the oscillations. +++++ So here is what I did: Time for 20 oscillations = t1 (2 d.p) Time for another 20 oscillations = t2 (2 d.p)...

Homework Statement In a test of a “g -suit,” a volunteer is rotated in a horizontal circle of radius 7.7m. What must the period of rotation be so that the centripetal acceleration has a magnitude of 3.7g ? What must the period of rotation be so that the centripetal acceleration has a...

Homework Statement A grandfather clock is calibrated to 20 degrees Celsius. If the room temperature were to be increased to and maintained at 30 degrees, how much would the clock run slower by in a 7 day period? (Yes, the length of the pendulum is NOT given) Can someone help me with this...

Of an asteroid whose Mass is 2.0*10^-2 times that of Earth's and whose distance from the sun is twice the Earth's distance from the sun. Find the period in years. I am supposed to use the concept of gravitational F=centripital force=m\frac{v^2}{r} and the fact that v=\frac{2\pi r}{T} so this...

Homework Statement If x(t) is a periodic signal with period T, show that x(at), a > 0, is a periodic signal with period \frac{T}{a}, and x\left(\frac{t}{b}\right), b > 0, is a periodic signal with period bT. Homework Equations HINT: Define x_a(t)\,=\,x(at) and...

Homework Statement Show that if x_1(t) and x_2(t) have period T, then x_3(t)\,=\,ax_1(t)\,+\,bx_2(t) (a, b constant) has the same period T. Homework Equations x_1\left(t\,+\,T\right)\,=\,x_1(t) x_2\left(t\,+\,T\right)\,=\,x_2(t) The Attempt at a Solution...

Homework Statement Find fundamental period of x(t)\,=\,cos\left(\pi\,t\right) Homework Equations x(t)\,=\,A\,sin\left(\omega_0\,t\,+\,\phi\right) Which has a fundamental period T\,=\,\frac{2\pi}{\omega_0} The Attempt at a Solution \omega_0\,=\,\pi <---- Right? T\,=\,\frac{2\pi}{\pi}\,=\,2...

Period of rotation and revolution of moon is same (w.r.t. distant star), that's why we can only view only one face of the moon. Cosmological fact or reasonable science?

does the double pendulum have a time period as such...and if so...how do we practically find it out...and if so then the time period is dependant on the intermediate mass or the main bob?

Homework Statement A 2.8m radius drum (cylinder) rotates such that a person does not fall when the "floor" falls away (imagine the person being pushed against the inside wall of the cylinder, with no bottom to the cylinder) If the coefficient of friction between the person and the wall is...

I was wondering how the time period of a double pendulum depends on the mass of the intermediate object and its distance from the bob?

I don't know where else to ask something like this, but a friend of mine had her period and lasted a day and a half.. and is worried that she could be pregnant... but that's not possible if her eggs dropped because she started her period right?

I have recently taken an interest in the idea that all pendulums of the same length are isochronous, and am currently trying to figure out an equation for the period of a pendulum of a given length. I started out by trying to find an equation for the angular distance the pendulum travels as a...

Homework Statement An oak block of ρ = 0.9 g/cm^3 and dimensions V = 10cm x 20cm x 20cm is floating in water of ρ0 = 1 g/cm^3. The block is slightly pushed into water and then released. Determine period, T, of oscillations. Homework Equations I'm not sure how to derive the set up of the...

Homework Statement Calculate the period of the Pirate ship if it were a pendulum. Homework Equations Sine laws: SinA/a = SinB/b = SinC/c Soh Cah Toa as well for 90 degrees triangles. The Attempt at a Solution http://img517.imageshack.us/img517/3668/scanrj4.jpg I've tried it on there. I...

Homework Statement A 500g block is attached to a spring on a frictionless horizontal surface. The block is pulled to stretch the spring by 10cm, then gently released. A short time later, as the block passes through the equilibrium position, its velocity is 1m/s. >A)What is the block's period of...

Hello, I have never taken a differential equations class. I have this problem that I could really use some help on. Thx Homework Statement A pendulum' motion is the following equation \ddot\theta = (\frac{-g}{l})\sin(\theta)) I need to find the period of oscillations for various starting...

Homework Statement Find the angular velocity and period of oscillation of a solid disc of mass m and radius R about a point on it’s surface. Homework Equations ? The Attempt at a Solution This is really giving me trouble because it seems like a SHO problem mixed with a rotational motion...

Homework Statement Find the period of a pendulum consisting of a disk of 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...

Homework Statement What is the formula that relates the period of a pendulum on a rotating coordinate system to the angular velocity of the coordinate system? (assume pendulum is in a gravitational field that produces an acceleration equal to the gravitational acceleration on Earth's surface)

Homework Statement What is the formula that relates the period of a pendulum on a rotating coordinate system to the angular velocity of the coordinate system? (assume pendulum is in a gravitational field that produces an acceleration equal to the gravitational acceleration on Earth's surface)

Multiple force constants/Single mass?: SHM, Spring w/ mass. Homework Statement Kim drives her empty dump truck over a berm (also called a speed bump) at the contruction site. The truck has a mass of 3000kg and the force constant for one of the truck's springs is 100,000N/m (Remember, truck...

I wanted to calculate the period of a pendulum withould the small angle approximation. I carried out the calculation and came out with a rather ugly integration which was the same as the one wikipedia had so I assume I did it right. The answer I got was: T=4[root of(L/2g)]*integral of{1/[root...

Hi! I have been racking my brain trying to solve the relationship between the effect of temperature increase and the change in period of a pendulum. I am suppose to prove a relationship, and am given that the relationship is delta(P) = 1/2*alpha*Pinitial where alpha is the coefficient of...

Homework Statement If 3.50 x 10^-3 kg of gold is deposited on the negative electrode of an electrolytic cell in a period of 2.99 h, what is the current in the cell during that period? Assume that the gold ions carry one elementary unit of positive charge. (A) Homework Equations I =...

Homework Statement What is the period of a monochromatic light with a wavelength of 660nm? f=660nm Homework Equations T= 1/f (I think?) The Attempt at a Solution T = 1/660nm The period of this monochromatic light is 0.00152 waves/nm. Firstly, I don't know for sure that the...

Homework Statement Consider a planet with uniform mass density p. If the planet rotates too fast, it will fly apart. Show that the minimum period of rotation is given by: T = (3 pi)^(1/2) ...(G p)^(1/2) What is the minimum T if p = 5.5 g/cm^3? Homework Equations T = 2 pi r...

Homework Statement A simple harmonic oscillator consists of a mass m and an ideal spring with spring constant k. Particle oscillates as shown in (i) with period T. If the spring is cut in half and used with the same particle, as shown in (ii), the period will be : (choose one of the...

Homework Statement Three pieces of string, each of length L, are joined together end-to-end, to make a combined string of length . The first piece of string has mass per unit length mu_1, the second piece has mass per unit length mu_1*4.00 , and the third piece has mass per unit length...

Hi everyone, was hoping someone could help me to answer a question: an ateroid has an equilibrium temperature measured as 200 K. What is the object's orbital period around the Sun? That is the exact wording of that particular question and that's why I am a little stumped.. it also says...

Homework Statement Hi everyone, was hoping someone could help me to answer a question: an ateroid has an equilibrium temperature measured as 200 K. What is the object's orbital period around the Sun? That is the exact wording of that particular question and that's why I am a little...

Homework Statement http://img120.imageshack.us/img120/808/periodicemotionhd3.jpg solid, uniform disk of mass M and radius a may be rotated about any axis parallel to the disk axis, at variable distances from the center of the disk If you use this disk as a pendulum bob, what is T(d), the...

The frequency of oscillations of, f, is equal to 315 Hz. What is the value of the period of oscillations, T? I understand that the speed of the wave is related to the wavelength and the frequency according to this: v = w/f = w/T But, how am I to solve for T if I don't know the value of...

Here is a quick question, and it would be nice if you someone could answer yes or no. I need it to do a problem because I am unsure whether it is. The question is: Does amplitude affect the period of oscillation of a spring in simple harmonic motion? I think no because of the equation: T =...

Could someone please help me understanding this. Let f(x) = 0, -2< x <0 and x, 0< x <2 f(x) repeats this pattern for all x a) What is the period of f(x)? b) Is f(x) even, odd, or neither? c) Find the Fourier Series for f(x). a) I found that the period is 2 b) odd c) I'm not even sure...