Problem 2 Consider the sinusoidal signal x(t) shown below. 10 8 6 4 2 x-2 4...
Problem 2 Consider the sinusoidal signal x(t) shown below. 10 8 6 4 2 -2 4 6 -10 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3 t (seconds) Write an equation for this signal.
Problem 5 Consider the signal y(t) shown below: 4 3 2 0 2 -3 -4 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3 t (seconds) Write an equation for y(t) in the form y(t)-A cos(ω°1+ φ) where you determine A, ω° and φ from the plot.
Problem 1 Consider the sinusoidal signal x(t) shown below. 10 8 4 2 4 6 8 -10 0.2 0.4 0.6 0.8 t (seconds) (i) What is the amplitude of this signal? ii) What is the period of this signal (in seconds)? (iii) What is the frequency of this signal (in Hertz)? (iv) Write an equation for this signal.
A pulsar is observed to have a period of 1.6 seconds. Move the left point of the line to show where on the graph the pulsar's period is now (at time 0), and move the right point of the line to show how the period will change over time. 2.8 2.6 2.4 2.2 1.8 1.6 1.4 1.2 0.8 0.6 0.4 0.2 0 1 2 3 45 6 7 8910 Time (millions of years)
blem 1. A signal varies as y(t) 1000sin(40Tt) + 500 sin(150rt). 1. Compu signal Compute Nyquist frequency for the signal. Does aliasing show up in the sampled signal provided a sampling frequency of 100 H Support your answer with appropriate calculations & using folding plot below. Compute the aliasing frequency. te the maximum frequency that can be represented in the resulting discrete 2. 3. 4. Sin 3.2 2.8 In-phase tofsf 2.6 2.4 2.2 Out-of phase 1.8 1.6 1.4 0.4 0.8...
7. i) Let n and k be some given positive integers, and x a 1-dimensional NumPy array of length n. Write a Python code that creates the 2-dimensional NumPy array which has k columns all identical to x. You may import numpy as np Perform the test case: ne5 k-3 x = np.arange(0,1,0.2) # the output should be [[. 0. 0.] [0.2 0.2 0.2] [0.4 0.4 0.4) (0.6 0.6 0.6) [0.8 0.8 0.8]] 7. ii) Let a, b, c be...
31. Sketch the velocity-versus-time graph from the following position-versus-time graph Position vs. Time 10- 8 6 4 2 -4 -6 -8 10- O. 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 Time (s)
1) For the loading of the beam shown below, determine the maximum normal and shear stress at the wall if Kt for bending is 2.7 and K, for torsion is 2.3 If we use a steel with an Sy 600 MPa, what is the "safety factor" if we only consider the maximum normal stress? Notice the bending moment, start with a cross product to determine the moment at the wall. The vector R-[0.25,0,0.3] in meters 200 mm 25-mm-dia. round rod...
1. The above two plots show a sinusoidal signal and its spectral content respectively. What is the frequency of the sine wave (and in what units)? 2. What is the largest sampling period (in seconds) that could be used without aliasing for the signal provided. Explain how you obtained the answer. Signal: y-sin(2rft) 0.8 0.6 0.4 ? 0.2 0.2 0.6 0.8 t - [seconds] 25 Spectral Density: IY(fl 20 15 10 Frequency -1?]
Kindly provide calculation and show each step. Thanks (a) Given the signal x(t) in Figure 2, sketch the signal for: xit) 12 10 - 2- 0.2 0.4 0.6 2 14 1.6 1.8 2 0.8 Figure 2 i. x(t+2) [4 Marks] ii. x(t/3) [4 Marks] iii. x(2t) [4 Marks] iv. -X(t) [4 Marks] (b) Given the signal x(t) in Figure 3, sketch the signal for x-(2t-2): xit 25 2 1.5 1 0.5 -0.5 0.5 1 1.5 2 2.5 3.5 Figure 3...