Simplify x(t) into the standard sinusoidal form: x(t) = Acos(wt+ phi) Define x(t) as x(t) = cos(wt-pi) + cos(wt+pi/3)+2cos(wt-pi/3)
Simplify x(t) into the standard sinusoidal form: x(t) = Acos(wt+ phi) Define x(t) as x(t) =...
define x(t)= 2cos(wt +5) + 8cos(wt+9)+4cos(wt), where the phases have units of radians. Expressx(t) in form x(t)= Acos(wt+phi) (b) Determine the values of the parameters(w,phi,A) in the equation 9cos(wt+phi) = Ae^(j8t+jphi) + Ae^(-j8t+j2pi/3)
Define x(t) as x(t) = 2 cos(ωt + 5) + 8 cos(ωt + 9) + 4 cos(ωt) where the phases have units of radians. Express x(t) in the form x(t) = Acos(ωt + ϕ). Use a calculator to add the complex phasors to obtain the answer. Explain your answer by giving a vector diagram of the phasors.
The vibration of the machine is expressed as the rectangular form x(t) = -3sin5t - 2cos5t mm. Determine the amplitude and phase of the vibration, if this is to be expressed as the harmonic Amplitude-Phase form of x(t) = Acos(5t+phi), where A the amplitude and phi is the phase of the vibration.
5. Let X(t) be a random process which consist of the summation of two sinusoidal components as t(t) = A cos(wt) + B sin(wt), where A and B are independent zero mean random variables. (a) (5 points) Find the mean function, pat). (b) (5 points) Find the autocorrelation function Ratta). (e) (5 points) Under what conditions is i(t) wide sense stationary (WSS)?! The questions form the textbook : 1.4, 2.1, 2.4, 2.6 Some trigonometric formulas: cos(A + B) = cos...
If we have a position wave function y(x, t) = Acos(kx - wt), and we rely on the second derivate of this function to find the maximum transverse acceleration of particles on a rope, would we use amax = Aw2 or amax = - Aw2, since the second derivative would retain the minus sign?
4) A string carries two sinusoidal waves given by fi(z,t) - A1 cos(kz - wt 37T 2(e,t)A2 cos(kz where Al = 1 mm and A2=3 mm. Calculate the amplitude A3 In mm, and the phase ò3 1n radians, of the superposition fi(z, t)+f2(z,t)fs2,t)A cos(kz wt63)
Consider the general sinusoidal function y(t)-Asin (wt + φ). Part a If A-1 and y(0)-1, what is φ? (Please state as a decimal answer, eg. 0.1 π-meaning add the zero in front) Enter answer here 0 of 6 attempts used CHECK ANSWER Part b If A-1 and y(0)-0.5, what is φ? Select the correct answer O 30 π Part c If y(t) describes the position with time, what is the proper formula for velocity with time? (Recall velocity is related...
1. Two waves are traveling along a rope. The individual waves are de- scribed by hi(t, x) = h2(t, x) = 0.3 cos(8x – 4t) 0.3 cos(7.6x - 3.8t) (a) Write the superposition hi + h, in the form h(t, x) = Acos (į Aku - Awt) cos (Kx – wt) (b) What is the amplitude A of the combined wave? (c) What is the phase velocity of the combined wave? (d) What is the group velocity All of the...
We consider a Standard Brownian Motion W={Wt,t>=o}, show that for s<t, Ws|Wt=x the conditional distribution of the process given a future valueWt=x We consider a standard Brownian motion W W,t20) Show that for s < t, W /Wt-x the conditional distribution of the process given a future value Wi is given by the following Normal distribution:
answer only Simplify the expression: Give the answer in exact form. sin(2006) sin 2 cos x Question 2 < > Score on last try: 0 of 1 pts. See Details for more. > Next question Try a similar question You can retry this question below Let f(x) = 6 .sin x + 4 f'(x) = -6 cos(x) + 4x + C X Check your variables - you might be using an incorrec Question 6 Below is a graph of function...