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Q: - Resolve Fi into components along the u and v axes and determine the magnitudes of these components…

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Q: The diagram at the right shows vector F. If F =-Q, where Q>0, I(d) determine the value of F in terms…

A: The force F is making an angle of θ with +y axis  and x-component of Force = -Q where Q > 0

Q: Determine the magnitude of the vector difference V = V₂ - V₁ and the angle ex which V' makes with…

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

A: Given data: r=sinθLimits=π3≤θ≤2π3 Need to determine the area bounded.

Q: Determine the arc length of the space curve r(t)=20sin(t)i + 21 sin(t)j +29 cos(t)k between t=pi/2…

A: given that, rt=20sinti+21sintj+29costk v=drdt v=d(20sinti+21sintj+29costk)dt…

Q: The area of the region bounded by y=v9-x2, the x-axis and the line y=x in the first quadrant is: O…

A: At y=x, x=9-x22x2=9x=±23

Q: '. Oetermine the resultant OF the given vec fors ond the angle from the positive x- axis. vse Ony…

A: Given Data⇒ F1=500 N F2=300 N

Q: Determine the magnitudes of the projected components of the force              F = [60i + 12j - 40k]…

A: Given data: Force, F = 60i + 40j – 12k   Writing the positions of point A,B and C, in vector form,…

Q: Determine the position vector r directed from point A to point B and the length of cord AB. Take z =…

A: Write the points A and B in vector form.

Q: Prove that z1/ ln z = ε.

A: Given Data: The given function is f(z) = z1/lnz. Let the value of f(z) = t Then the function can…

Q: prove that : (1-x²) d²y daz - dy da -2=0 1

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Q: 20 N * 75 N 450 50 N 150 N

A: In the question given above, all the forces are to be resolved into two components horizontal and…

Q: O find the root of the oquation -37/2 2t e . tant (3)

A: According t the question, f(t)=e2t. tant-e-3π2on differntiating this equation with respect to…

Q: Determine the unit vector normal to the plane when A and B are equal to  (17)i + (18)j – (12)k  and…

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Q: If F = (350i - 250j - 450k) N and cable AB is 9m long, determine the x, y, z coordinate of point A.

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Q: Cables of negligible weight support the loading shown. (Figure 1) If W1 = 85.0 N, W2 = 510 N , yB =…

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Q: y Determine ly. (y=2-x²) -y=2-x² x

A: Given data:- Curved profile Y=2-X2 at x=0 and x=1 To find :- Moment of inertia about y-axis

Q: If two cables acting on the end of the pole A will be in a stable position if the angle between two…

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Q: O Determine the resultant CR) and its direction o ? 10ON 200 N 360 NO9

A: For the above given diagram the angle for the force of 200N is not givenSo assuming it as 60°As per…

Q: If u=3i-4j+k and v=i+4j+2k and theta is the angle between them: determine the angle and indicate the…

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Q: Determine the magnitude and coordinate direction angles of the resultant of FB = 600 N and FC = 500…

A: GivenFB=600NFC=500N

Q: Find the resultant and a. RY R-50.8 N: alpha - 23.9° R-101.64N; alpha- 23.7° R-50.8; alpha--23°…

A: Given: Rx = 93 N Ry = -41 N To find: resultant R and angle

Q: Detrmine the indices Ś of the direction vector

A: Consider the diagram shown below for the given unit cell.

Q: 15- The R equivalent between the X and Y point are : *

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Q: Find the x,y, and z components of P

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Q: the non-homogeneous equation y” – 2y’ = t + dt, then determine this solution

A: So, the solution to the non-homogeneous differential equation…

Q: 3. Find the resultant force and its direction. Use the Component method. 100 N 110 N 30° 45 20% 30 N…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 2 − x2,…

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Q: Determine (rB/A) x and (rB/A)y, the x and y components of the vector r' B/A

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Atomic diffusion in solids

In material science, diffusion can take place in solid, liquid, and gases. In solids, atomic diffusion can take place with the help of thermally activated and randomly vibrating atoms. The atomic diffusion in solids is complex and very slow in comparison to atomic diffusion in liquids and gases because the interatomic distance between the atoms is smaller in solids as compared to liquids and gases.