A two-dimensional displacement field is given
with
Determine and draw the deformed shape of a unitary square material element with his lower left vertex at the origin and calculates the rotation vector
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A two-dimensional displacement field is given with Determine and draw the deformed shape of a unitary...
Score: 2. Calculate the acceleration field if a two-dimensional velocity field in the zy-plane is given...
Score: 2. Calculate the acceleration field if a two-dimensional velocity field in the zy-plane is given by 0.205 + 0.97x + 0.851у, -0.509 + 0.953x-0.97y. u u Find the velocity and acceleration at the point (3.2.5) O.QO 5+ о. 977 t o.&CI ea,s) u
PIUVICU JEU 12, DUC 24 JCPECHuel 201 1. Given a temperature field defined the function T...
PIUVICU JEU 12, DUC 24 JCPECHuel 201 1. Given a temperature field defined the function T = 280.0 +0.002x +0.004y2 +0.00982, compute the change in temperature for a displacement of 100m in the northwesterly direction and 50m in the vertical direction 2. If VT is the gradient of temperature, show that the maximum variation of T associated with displacement dS occurs when the displacement vector is in the same direction as the gradient. 3. Chart the vector fields defined by...
C- A steady, incompressible, two-dimensional velocity field of a fluid is given by に(u, v) =...
C- A steady, incompressible, two-dimensional velocity field of a fluid is given by に(u, v) = (0.5 + 0.8x) velocity is in m/s. Determine: i+(1.5-0.8y) j where the x- and y-coordinates are in meters and the of 1-The stagnation point of the flow 2-The material acceleration at the point (x 2 m, y - 3m).
The magnetic field in a region of space is given by: Ba(x2+22)7+(y2+22)7+(x2+z2)k) where alpha is some...
The magnetic field in a region of space is given by: Ba(x2+22)7+(y2+22)7+(x2+z2)k) where alpha is some constant, x, y, and z are the coordinates in space about the origin and i, j, and k are unit vectors pointing along the x, y, and z-axes Also in the region of space is a conducting square loop with side lengths of L which is placed parallel to the xy-plane, centered on the z-axis, and has a z-coordinate of z Find an expression...
Q1. (a) The velocity components of a certain two-dimensional flow field are claimed to be given...
Q1. (a) The velocity components of a certain two-dimensional flow field are claimed to be given by u =-Cy and v = Cx , where is a constant. (i) Does this velocity distribution satisfy continuity? If yes, what is the stream function y? (8 marks) (ii) Analyse whether the flow is rotational or irrotational. What is the velocity potential o ? (4 marks) (iii) Sketch several y and © lines (if exist) of the flow field. Briefly explain how you...
This Question: 2 pts 29 of 35 Given a two-dimensional vector field F and a smooth oriented curve C, what is the meaning...
This Question: 2 pts 29 of 35 Given a two-dimensional vector field F and a smooth oriented curve C, what is the meaning of the flux of F across C? Choose the correct answer below A. The flux of F across C is the sum of the components of F tangent to C at each point of C. B. The flux of F across C is the component of F tangent to C at a point P on C O...
3 At a given time, the normalised wave function for a particle in a one-dimensional infinite...
3 At a given time, the normalised wave function for a particle in a one-dimensional infinite square well -a < x < a is given by 2 sin2 V inside the well and zero outside. Find the probability that a measurement of energy yields the eigenvalue En. (Hint: use data on page 6.) [6] Useful Data and Formulas = 1.60 x 10-19 C Elementary charge e h/2T=1.05 x 10-34 Js Planck's constant 3.00 x 108 m s-1 Speed of light...
8.4 The Two-Dimensional Central-Force Problem The 2D harmonic oscillator is a 2D central force pr...
8.4 The Two-Dimensional Central-Force Problem The 2D harmonic oscillator is a 2D central force problem (as discussed in TZD Many physical systems involve a particle that moves under the influence of a central force; that is, a force that always points exactly toward, or away from, a force center O. In classical mechanics a famous example of a central force is the force of the sun on a planet. In atomic physics the most obvious example is the hydrogen atom,...
Step by step for #8 1) Given (1 2 3 1 0 11 1 5 2...
Step by step for #8
1) Given (1 2 3 1 0 11 1 5 2 1 A= -2 -5 -4 -1 1 ( 3 5 11 4 1 Find the basis and dimension for the row, the column spaces, and the null space NA Also, state the rank, the nullity of A 2) The subspace of W in R spanned by vectors u =(2.-2.1) v =(1,2,2) is a plane passing thru the origin. Express the vector w=(1,0.2) in the...
q4 please thanks (1) Let A - (0,0), B- (1,1) and consider the veetor field f(r,...
q4 please thanks
(1) Let A - (0,0), B- (1,1) and consider the veetor field f(r, y,z)vi+aj. Evaluate the line integral J f.dr )along the parabola y from A to B and (i)along the straight line from A to B. Is the vector field f conservative? (2) For the vector feld f # 22(r1+ gd) + (x2 + y2)k use the definition of line integral to (3) You are given that the vector field f in Q2 is conservative. Find...
Score: 2. Calculate the acceleration field if a two-dimensional velocity field in the zy-plane is given by 0.205 + 0.97x + 0.851у, -0.509 + 0.953x-0.97y. u u Find the velocity and acceleration at the point (3.2.5) O.QO 5+ о. 977 t o.&CI ea,s) u
PIUVICU JEU 12, DUC 24 JCPECHuel 201 1. Given a temperature field defined the function T = 280.0 +0.002x +0.004y2 +0.00982, compute the change in temperature for a displacement of 100m in the northwesterly direction and 50m in the vertical direction 2. If VT is the gradient of temperature, show that the maximum variation of T associated with displacement dS occurs when the displacement vector is in the same direction as the gradient. 3. Chart the vector fields defined by...
C- A steady, incompressible, two-dimensional velocity field of a fluid is given by に(u, v) = (0.5 + 0.8x) velocity is in m/s. Determine: i+(1.5-0.8y) j where the x- and y-coordinates are in meters and the of 1-The stagnation point of the flow 2-The material acceleration at the point (x 2 m, y - 3m).
The magnetic field in a region of space is given by: Ba(x2+22)7+(y2+22)7+(x2+z2)k) where alpha is some constant, x, y, and z are the coordinates in space about the origin and i, j, and k are unit vectors pointing along the x, y, and z-axes Also in the region of space is a conducting square loop with side lengths of L which is placed parallel to the xy-plane, centered on the z-axis, and has a z-coordinate of z Find an expression...
Q1. (a) The velocity components of a certain two-dimensional flow field are claimed to be given by u =-Cy and v = Cx , where is a constant. (i) Does this velocity distribution satisfy continuity? If yes, what is the stream function y? (8 marks) (ii) Analyse whether the flow is rotational or irrotational. What is the velocity potential o ? (4 marks) (iii) Sketch several y and © lines (if exist) of the flow field. Briefly explain how you...
This Question: 2 pts 29 of 35 Given a two-dimensional vector field F and a smooth oriented curve C, what is the meaning of the flux of F across C? Choose the correct answer below A. The flux of F across C is the sum of the components of F tangent to C at each point of C. B. The flux of F across C is the component of F tangent to C at a point P on C O...
3 At a given time, the normalised wave function for a particle in a one-dimensional infinite square well -a < x < a is given by 2 sin2 V inside the well and zero outside. Find the probability that a measurement of energy yields the eigenvalue En. (Hint: use data on page 6.) [6] Useful Data and Formulas = 1.60 x 10-19 C Elementary charge e h/2T=1.05 x 10-34 Js Planck's constant 3.00 x 108 m s-1 Speed of light...
8.4 The Two-Dimensional Central-Force Problem The 2D harmonic oscillator is a 2D central force problem (as discussed in TZD Many physical systems involve a particle that moves under the influence of a central force; that is, a force that always points exactly toward, or away from, a force center O. In classical mechanics a famous example of a central force is the force of the sun on a planet. In atomic physics the most obvious example is the hydrogen atom,...
Step by step for #8
1) Given (1 2 3 1 0 11 1 5 2 1 A= -2 -5 -4 -1 1 ( 3 5 11 4 1 Find the basis and dimension for the row, the column spaces, and the null space NA Also, state the rank, the nullity of A 2) The subspace of W in R spanned by vectors u =(2.-2.1) v =(1,2,2) is a plane passing thru the origin. Express the vector w=(1,0.2) in the...
q4 please thanks
(1) Let A - (0,0), B- (1,1) and consider the veetor field f(r, y,z)vi+aj. Evaluate the line integral J f.dr )along the parabola y from A to B and (i)along the straight line from A to B. Is the vector field f conservative? (2) For the vector feld f # 22(r1+ gd) + (x2 + y2)k use the definition of line integral to (3) You are given that the vector field f in Q2 is conservative. Find...
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