rtr) 8) Compute X(a) for this rectangular pulise. Check that it matches the form shown in...
For the complex number shown to the right, give (a) its rectangular form and (b) its trigonometric (polar) form with r>0, 0° <0 < 360°. Aimaginary 20- 16 12- (a) The rectangular form is 8 4 real (b) Determine the polar form. Select the correct choice below and fill in the answer box to complete your choice. 4 8 -20 -16 -12 -8 -4 -4. 12 16 20 o -8- A. COS + i sin -12 -167 B. sin +...
A flat thin rectangular lamina lies in the x-y plane as shown in Figure 2. It has a width W and a length L. If the surface density mu = mu_0(y/L + 1): (a) What is the total mass of the lamina (ignore the thickness T of the object). (b) Where is the centre-of-mass located on the object?
For the given rectangular pulse signal shown in figure below, 1 x(1) 1, T 0, T, x) T T1 Find the Fourier transform of the signal and sketch it
need problem 6.13 done. 12. The analog signal xa (t) = cos (100mt) + cos (120πt) led using natural sampling as shown in Fig. 6.18. The sampling rate used is f, -4 width of each pulse is τ = 0.5 ms. Write an analytical expression for the Fourier transform Xa (w) and sketch it. Find an analytical expression for X, () the Fourier transform of the naturally- sampled signal T, (t). a. c. Sketch the transform X, (w). 613. Repeat...
Rectangular Waves and the Sampling Function question: 2.1 Compute and sketch the time domain and (two-sided) Fourier transform representations, x(t) and X(, of rectangular waves with the following properties: (a) A = +10V,To-0.2 ms, to 0.2To (b)A=+10V,T0 = 0.2 ms, to = 0.5T。 (c) A = +10 V, To = 0.2 ms, to 0.8To
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.
Question 2 Consider the natural sampling applied to a signal, x(t) = sinc"5 The signal is sampled (multiplied) by a periodic (rectangular) pulse train which is shown in Figure (b). Assume the period, To-0.05s. πt as shown in Figure (a) Pr(t) x(t) XFO 057 Pt(t) 1 mark (a) Determine and sketch the spectrum of the signal x(t). Determine the bandwidth of x(t), B. 1 mark(b) Sketch the sampled signal, E(t) 2 marks () Derive and sketch the spectrum of the...
Write these in rectangular form in x, y: r(t) = t -1, y(t) = 3+ + 2+
For the complex number shown to the right, give (a) its rectangular form and (b) its trigonometric (polar) form with r> 0,0°se<360°. Aimaginary (a) The rectangular form is 16 (b) Determine the polar form. Select the correct choice below and fill in the answer box to complete your choice. real OA. sin + i cos -2016-12-8-4 4118 121620 OB. sin - i cos O c. COS + i sin OD. cos i sin
Consider a rectangular bar of thermal conductivity k W/m-K and total length 2L, as shown in the figure, is connected to a hot surface that is at a temperature T1. The connection between the bar and the surface is imperfect and results in a thermal contact resistance of R’’ m2-K/W. The width of the rod into the depth of the paper is W meters and the thickness of the rod is t meters. The first section of the rod of...