Reference no: EM131091136
a. The two alternating voltages are given by v_1=15 sinωt volts and v_2=25 sin?(ωt-π/6)volts.
i. Determine a sinusoidal expression for the resultant v_R=v_1+v_2 by finding the horizontal and vertical components.
ii. Determine the resultant v_R=v_1-v_2 using horizontal and vertical components.
(b)Calculate the 1st and 2nd moment of area for the shape shown about the axis s-s and find the position of the centroid. ( Part of L.O. 3.1)
L.O. (Part of 3.1)
(c) Find the eigenvalues and eigen vectors for the matrix
0 2 1
4 1 0
4 0 1
TASK: 5
A. Determine the power series solution of the differential equation:
(d^2 y)/?dx?^2 +x dy/dx+2y=0 Using Leibniz - Maclaurin’s method, given the boundary conditions that at
x=0,y=1 and dy/dx=2 (L.O.4: 4.4)
TASK 6:
A. Determine the general power series solution of Bessel’s equation.
x^2 (d^2 y)/?dx?^2 +x dy/dx+(x^2-v^2 )y=0
(Part of D3)
B. Show that the power series solution of the Bessel equation of the above problem may be written in terms of the Bessel functions
Attachment:- assignment 2.docx
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