The standing waves on a stretched string fixed at both ends and has a length L = 3 m is described by the following wave function: y(x,t) = 0.08 %3D sin(rtx)cos(120rtt). Determine the distance between two adjacent node and antinode:
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- Electromagnetic Pulse propagating at oblique angle to a dielectric interface Consider a gaussian wave pulse propagating along the z-axis from region 1 with refractive index n1 and onto a dielectric interface y = m z (for all x). To the left of this dielectric interface, the refractive index is n2. Devise an initial value computer algorithm to determine the time evolution of the reflected and transmitted electromagnetic fields for this pulse. e.g., n1 = 1 , n2 = 2 initial profile (t = 0, with z0 < 0) Ex = E0 exp[-a (z-z0)^2] By = n1 * Ex Choose parameters so that the pulse width is at least a fact of 8 less than the z- domain of integration ( -L < z < L). For the slope of the interface, one could choose m = 1.Find the impedance theoretically of a wire if it carries the frequency 10 kHz have a voltage is 8v, the current is 2mA, resistance is 13 k, inductance 29 mH and capacitance 0.1 ufA car manufacturing company uses robot to fix screws in the car. The link lengths of the maniputator are 10cm, 20cm and 15cm respectively. They want the three ink parar robots end effect to reach the position of (-10,25) with onentation of 195 degrees Find the joint angles to reach the designated position and orientation.
- Q2: In a dielectric material (ɛ = 5ɛ, ), the potential field V= 10xyz - 5z? V, determine (a) E, (b) D, (c) P, (d) P.Question 9 Not yet answered Marked out of 1.00 Flag question A coil is wrapped with 300 turns of wire on the perimeter of a circular frame (radius = 8.0 cm). Each turn has the same area, equal to that of the frame. A uniform magnetic field is turned on perpendicular to the plane of the coil. This field changes at a constant rate from 20 to 80 mT in a time of 20 ms. What is the magnitude of the induced emf in the coil at the instant the magnetic field has a magnitude of 50 mT? O 15 V O 10 V O 18 V OOO 30 v O 24 VThe flanged steel cantilever beam with riveted bracket is subjected to the couple and two forces shown, and their effect on the design of the attachment at A must be determined. Replace the two forces and couple by an equivalent couple M and resultant R at A. The couple is positive if counterclockwise, negative if clockwise. 1.92 KN 0.67 m 1.71 m- 68° A 6 Answers: M = i kN.m R=( i i+ i y I L 460 N.m 10.17 m 10.17 m 1.08 KN j) kN
- 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 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:Contrast the Hamilton path and cycle with the Euler path and cycle. <<<image here>>>
- A beam containing 1000 monoenergetic photons applied to material with a thickness of 0.5cm and linear attenuation coefficient of 82 x 1 m-1. Find the number of outgoing beam.Example 2: calculate the RMS noise voltage arising from thermal noise in two resistors 100 & 150 resp. at T= 300°K within a bandwidth of IMHZ if: a- The resistors are connected in series. b- The resistors are connected in parallel.Find the outer radius of a coaxial cable whose characteristic impedance is 10Ω. The inner radius and the dielectric constant are 0.08m and 0.5 respectively.