Determine the velocity error constant (k,) for the system shown. + R(s)- K G(s) where: K=1.6 A(s+B) G(s) = as²+bs C(s) where: A 14, B =3, a =6. and b =10
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- The displacement of an oscillating spring can be described by x = A cos(wt) where x = displacement at time t, A = maximum displacement, w = angular frequency, which depends on the spring constant and the mass attached to the spring, and t = time. Find the displacement, x, with maximum displacement A of 4 cm, for times from 0 to 120 seconds with increments of 30 seconds, and angular frequencies from 0.4 to 0.6 radians/sec, with increments of 0.1 radians/sec. The displacement for all combinations of times and angular frequencies needs to be calculated. Use meshgrid. Display your results in a matrix with angular frequencies along the top row and times along the left column like so (you may put zero, 0, or NaN, in the upper left corner:1-1 Find the angular velocity Gv(t) by using GRB (t) ³₁ BrTwo particles are fixed to an x axis: particle 1 of charge q₁ = 3.02 × 10-8 C at x = 18.0 cm and particle 2 of charge 92 = -3.61q1 at x = 79.0 cm. At what coordinate on the x axis is the electric field produced by the particles equal to zero? Number i Units
- (Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a cylinder, this moment of inertia is given by this formula: J=mr2/2+m( l 2 +3r 2 )/12misthecylindersmass( kg).listhecylinderslength(m).risthecylindersradius(m). Using this formula, determine the units for the cylinder’s polar moment of inertia.Q2: In a dielectric material (ɛ = 5ɛ, ), the potential field V= 10xyz - 5z? V, determine (a) E, (b) D, (c) P, (d) P.Find the value of φ(29), φ(32), φ(80), φ(100), φ(101), where φ() is the Euler’s Phi-Function
- Prove the following equations using truth tables: (a) (X + Y)(X'+Z) = XZ + X'Y (b) (X+ Y)(Y + Z)(X' + Z) = (X + Y)(X'+ Z)Two x-ray images of the hand are shown. One corresponds to an x-ray beam with an effective energy of a) 140 keV and the other to an effective energy of b) 50 keV. Identify which is which, and the reasons for the differences in the image contrast and signal intensity. a.None of the above. b.The attenuation coefficient does not gives rise to contrast in x-ray imaging and is not energy dependent. At 50 keV the attenuation coefficient is about the same between tissues and bone showing no contrast, whereas at 140 keV there is a greater difference between tissues showing greater contrast. c.The attenuation coefficient gives rise to contrast in x-ray imaging and is energy dependent. At 140 keV the attenuation coefficient is about the same between tissues and bone showing no contrast, whereas at 50 keV there is a greater difference between tissues showing greater contrast. d. The attenuation coefficient gives rise to contrast in x-ray imaging and is energy dependent. At 50 keV the attenuation…2. calculates the trajectory r(t) and stores the coordinates for time steps At as a nested list trajectory that contains [[xe, ye, ze], [x1, y1, z1], [x2, y2, z2], ...]. Start from time t = 0 and use a time step At = 0.01; the last data point in the trajectory should be the time when the oscillator "hits the ground", i.e., when z(t) ≤ 0; 3. stores the time for hitting the ground (i.e., the first time t when z(t) ≤ 0) in the variable t_contact and the corresponding positions in the variables x_contact, y_contact, and z_contact. Print t_contact = 1.430 X_contact = 0.755 y contact = -0.380 z_contact = (Output floating point numbers with 3 decimals using format (), e.g., "t_contact = {:.3f}" .format(t_contact).) The partial example output above is for ze = 10. 4. calculates the average x- and y-coordinates 1 y = Yi N where the x, y, are the x(t), y(t) in the trajectory and N is the number of data points that you calculated. Store the result as a list in the variable center = [x_avg, y_avg]…
- The charges and coordinates of two charged particles held fixed in an xy plane are 91 = 3.01 μC, x1 = 4.94 cm, y₁ = 0.559 cm and 92 = -5.09 µC, x2 = -2.10 cm, y2 = 1.11 cm. Find the (a) magnitude and (b) direction (with respect to +x-axis in the range (-180°; 180°]) of the electrostatic force on particle 2 due to particle 1. At what (c) x and (d) y coordinates should a third particle of charge 93 = 5.17 μC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i UnitsMATLAB code and solution for the Laplace transform of f(t) = sin (2t). MATLAB code and solution for the Laplace transform of f(t) = e-4t sin (2t). MATLAB code and solution for the Laplace transform of f(t) = e-2t cos (4t). I need the MATLAB code for each laplace transform. Please show clear screenshots of the MatLab Code.An aluminum wire having a cross-sectional area equal to 4.60 x 10-6 m? carries a current of 7.50 A. The density of aluminum is 2.70 g/cm³. Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire. 1.95E-4 The equation for the drift velocity includes the number of charge carriers per volume, which in this case is equal to the number of atoms per volume. How do you calculate that if you know the density and the atomic weight of aluminum? mm/s