Problem 5. (20 pts) In this problem, I wil lead you through a procedure that allows...
Problem 4 -π/3) in quadrature form. 2π A) Express the function Y1 = (2 m) sin( 5-x B) Express the function y3=(4m)cos(10-)-(2m) sin( nx) incosine form. 10 in sine form. C) Express the function y3= (4 m) cos(nz)-(2 m) sin(nz) in sine form. C) Express the function y3= (4 m) cos(-x )-(2 m) sin(-x
Question 3 4 pts n. Q4. n 0 << A Fourier COSINE series is required for the function defined by f(x) = 0, (a) Write down the period T and the frequency wo of the extended function. (6) Calculate the coefficients a, = 5" f(x) cos(n wox) dx and simplify your answer. n <<n 3
Problem 10. (20 pts) The displacement of a block of mass 0.2 kg on a spring is given by x(t) = (0.25 m) cos((2/s)t + π/5) A) What are the angular frequency (in rad/s), frequency (in Hz), and period of this motion? B) Find the spring stiffness of the spring. C) Find the x-component of the velocity of the block as a function of time. D) Find the total energy of the block/spring system E) Find the maximum speed of...
Program in any language. I need help I have no idea how to do this! (1) Write a program to combine 2 (two) waves with different frequencies (fm and fc) using AM (Amplitude Modulation) technique: y(t) = [1 + m cos(2 π fn t) ] A sin(2 π ) where fm is the modulated frequency, fc is the carrier frequency, A- Amplitude, m- index of modulation, t time and 3.14159265359 (A) Plot y(t) in time domain t = 0 to...
Paragraph Styles Problem 5-The following figure represents a traveling wave. The distance the wave has traveled is 50 meters during a 10 second. w Formulas: F=1/T, V=f1, w = 271, K=27/A, Y= Asin(kx - w t) The wave Y-5 sin (k x-wt) travels in the rope. • "5" in the formula is in cm. a)What is the amplitude (A) of the wave? b)What is the frequency (f) (-in Hertz) of the wave? (see the above figure) c) What is the...
I need solution as soon as possible thank you Q1 Given, f(x) = { 4,0$*<2 4x +1,25x<4 (a) Sketch the graph of f(x) and its even half-range expansion. Then sketch THREE (3) full periods of the periodic function in the interval -12 < x < 12. (6 marks) (b) Determine the Fourier cosine coefficients of Q1(a). (10 marks) (C) Write out f(x) in terms of Fourier coefficients you have found in Q1(b). (4 marks) SOME RELEVANT FORMULA Fourier Series...
5. For the previous problem write an equation of its oscillatory motion using a sine or cosine function and assuming that the object starts as indicated above. Find the position and velocity of the object at time = 0.26 sec. (You have to determine to use a cosine of sine function and the initial angle based on the initial conditions given in the previous problem). 4. A mass of 1.80 kg is attached to a horizontal spring with a spring...
signals and communications 2 Make sure you show all working and describe each step in your calculations. 1. A signum function is defined as sgn(t) = { 1、12 0 1 t<0 Plot and express this function in terms of the unit-step function. 5 marks/ Determine and plot the even and odd parts of the signal 2. x(t) (te-3 +2)u(t). 5 marks 3. If prove that y[n-m] = x[n-m] * h[n]. 5 marks 4. Assuming α > 0, plot the signal...
1. (40 points) Write down the phasor representation for each of the following signals a. (5 pts) x, () 12cos(21) b. pts) x(1)-20cos(3t+45) c. (5 pts)x,(t)-10sin(21 + 300) d. (5 pts) x,(t)-35cos(20+22 sinQ2 +45") e. (10 pts) )- d 135cos(21)+22 sin(2i+4')leas ao express the result in the time domain. f (10 pts) ,)-[B5cos(21)+22sin(2r +45°ydr. Please also express the result in the time domain. Notes: Phasors are ideal for steady-state analysis of sinusoidal signals at a fixed frequency, so we cannot...
(20%) Problem 5: I start walking The 1st leg of my trip I walk d,-130 m at θ-16 75 m at dg x is directed towards the east, and y is directed towards the north. south of east. The 2nd leg of my trip I walk 199 north of east. On my final leg I walk de- 95 m at 0c 6P north of west. Choose the coordinate system so that rite an Deductions Potential 100 | 7 | 8|...