Scoring (x, y) = 20x* +6xy +12 y, determine the stress components at point 1. Given...
For a state of stress at a point in a structure, certain stress components are given for each of the two orientations as shown in Fig. P.3. What will the stress components Oy, ? (a) 16 MPa, (b) 14 MPa, (c) 18 MPa, (d) 12 MPa, (e) none of above 18 MPa 30 MPa 60 MPa 15 MPa Fig. P.3
Let T(x,y)=6xy be the temperature at point (x,y). A snail craws so that its position after t seconds is given by x=1+t and y=2+13t How fast is the temperature rising on the snail's path after 3 second?
The state of stress at a point on a body is given by the following stress components: 0 = 15 MPa, Oy = -22 MPa and Try = 9 MPa Matlab input: sx = 15; sy = -22; txy = 9; 1) Determine the principal stresses 01 and 02. 1 = MPa 02= MPa 2) Sketch the principal stress element, defined by the rotation @pl. y Enter the rotation @pi (-360º < Opl < 360°): Opl = Add stress components:...
Problem 8. (1 point) For the function f(x,y) = 4x² + 6xy + 2y”, find and classify all critical points. O A. (0,0), Saddle O B. (4,6), Saddle O C. (4,6), Relative Minimum OD. (0,0), Relative Minimum OE. (0,0), Saddle |(4,6), Relative Maximum
' )y" + 6xy = 0 about x。:0. #2.) (15 points) For ( 1-X Find two linearly independent solutions y,(x) and V2(x) (that is solve the recurrence relation.) This problem is difficult, so plan your time accordingly ' )y" + 6xy = 0 about x。:0. #2.) (15 points) For ( 1-X Find two linearly independent solutions y,(x) and V2(x) (that is solve the recurrence relation.) This problem is difficult, so plan your time accordingly
Find two power series solutions of the given differential equation about the ordinary point x=0. (x^2+2)y"+6xy'-y=0 (Show all steps using y= please) nfiniti
4. (12 points) Find the critical points of f(x,y) = 2y3 + 3r? - 6xy and determine whether they are local minimum, maximum, or saddle points. For the critical points give us local extreme values, what are these extreme values (if any)?
3. (28 points) Let f(x,y) = 2x3 - 6xy+3y- be a function defined on xy-plane. (a) (6 pnts) Find first and second partial derivatives of f. (b) (10 pnts ) Determine the local extreme points of f (max., min., saddle points) if there is any. (C) (12 pnts) Find the maximum and minimum values of f over the closed region bounded by the lines y = -x, y = 1 and y=r
Problem 1 (10pts) The components of stress at a point are given as right. Compute the effective/von Mises stress o Also determine the components of stress vector T( σ/) if this stress acts on the plane 2x+ 3y-52-5 0. (Note, first find the unit normal vector to this surface.) σ- ,=13-2-31 MPa 1-32丿 Extra Credit (5pts) Find the three principal stresses for this state of stress. Also determine the "principal direction/vector' of the largest tensile principal stress.
Determine the expressions for the x-, y-, and z-components of the electric field (Ex, Ey, Ez) for this wave as a function of space and time. Part g, please! Thanks! The magnetic field of a linearly polarized electromagnetic plane wave is described by B.-(50 T) sin(kz-(3.4x1015 rad)); By-0; B.-0. 2 Consider the wave at time t = 0 and position (x, y, z) = (0, 0, ?/2k). Let the +x-direction point to the right, the +y-direction point up the page,...