Sinusoidal Definition and 220 Threads

Homework Statement I am reading the book Wiley Signal And Systems-Simon Haykin and at the page 34 i read the followings Consider the complex exponential e^j*theta. Using Euler's identity we may expand this term as e^j*theta=cos(theta)+jsin(theta) This result indicates that we may express the...

Homework Statement A sinusodial wave is moving along a string of uniform density. If you double the frequency of the wave, a)the speed of the wave doubles b)the speed of the wave remains about the same Homework Equations v=lambda*f The Attempt at a Solution I chose a) using the...

This is my first posting ever :smile: ! I hope someone can point me in the right direction. Please also note, that I'm on a Music Technology course, but there are quite a lot of physics/maths! Presenting Problem The air pressure is found to be normal atmospheric pressure 2 metres from a...

Homework Statement Drive one end of the string with sinusoidal oscillator of frequency 100hz. What velocity is required to setup a standing wave with 5 segments? Homework Equations I know for standing wave that fn = nV/2L and you can isolate out velocity variable. The Attempt at a...

Find the two integrals: \int_0^{\infty}\frac{e^{-\alpha x^2}}{x^2+1}\sin(\alpha x) \, dx \int_0^{\infty}e^{-\beta^2t}\cos(\beta x) \, d\beta Any hint?

Can someone tell me why Asin(ax)+Bcos(ax) always gives another sinusoidal wave?

A sinusoidal wave of frequency 500 Hz has a speed of 350 m/s. (a) How far apart are two points that differ in phase by Pi/3 rad? I was thinking that I need to use the equation y= Asin(kx-wt+pi/3) I found the wavelength=0.70m used this to find k=8.98 solved for w by converting the...

Q: A two-dimensional water wave spreads in circular wave fonts. Show that the aplitude A at a distance r from the initial disturbance is proportional to \frac{1}{\sqrt{r}}. (Hint: Consider the energy carried by one outward moving ripple.) Comments: Let's consider the energy carried by one...

i was wondering how you would find the amplitude, vertical translation, horizontal translation and the sinusoidal axis either from just an equation, like 1/2(y-7)=cos3(x-60), or from the graph if you are given one.

Algebraically calculate the Rise Time value for the sinusoidal signal at an arbitrary frequency f_0 (expressed in Hz). Assume that the signal has zero average, that is V_{min}\,=\,-V_{max} Express the Rise Time in units of the period T\,=\,\frac{1}{f_0}. MY WORK SO FAR...

A mass is supported by a spring so that it rests 0.5 m above a table top. The mass is pulled down 0.4 m and released at time t=0. This creates a periodic up-and-down motion, called simple harmonic motion. It takes 1.2 s for the mass to return to the low position each time. Could someone...

Does increasing the Sinusoidal Electron Frequency and lowering of its Sinusoidal Electron Amplitude cause less resistance in a flow of Electrons in/on a conductive material? This is only for DC current and not AC. Is there any data which supports this?:smile:

Forgive me for my ignorance on these matters. I know almost nothing about math or physics. My only knowledge on such things is what I have been able to grain from Popular Science/Math books. I have never even graduated from college. But please allow me to post a question. Although I want...

At a certain instant, a point A is at the origin and a point B is the first point on the x-axis that is 60° out of phase. What is the coordinate of B? The equation of the wave is given as: y = (15.0 cm)cos(0.157x-50.3t)

Hi, i have a solution to the following problem but I'm not sure if it's right or not. If you shake one end of a taut rope steadily three times each second, what would be the period of the sinusoidal wave set up in the rope? Me, I thought that since I'm shaking the rope three times a second...

A simple question in Electrodynamics is finding the scattering field of a dielectric sphere in constant electric field. I'm interested in a simple generalization of the above question: dielectric sphere in sinusoidal electric field. This problem is much more usefull and even realistic. And...

I have a question that needs solving please. I have a stand that has a forced oscillator on it. The oscillator can force the stand to move at different harmonics. On this stand is a rig that a spring is clamped rigidly onto. ( I will provide a simplified drawing.). The movement is detected by an...

Hi, I've done most of my homework, but can't figure this one out. If anyone could explain what to do, I would really appreciate it. *i got 78 for an answer, but its wrong* It is exactly noon. The hour hand of a clock is 8cm long. If the top of the clock is 50 cm from the ceiling and the...

probably easy question a sinusoidal wave is propagating along a string in the +x direction. 10 waves pass by a point every 10 microseconds. the wave exhibits the following characteristics: a) at t=0 and x=0 , the wave propagation speed is 30 m/s, and the Oscillation speed is 2.5 mm/s in...

hello there, how do i solve over [0,2pi) for sin(2x)+sin(x)=0 thanks for what help you can give RansidMeat