3- Derive Lagrange's equation in Cartesian coordinates in one dimension?
Q: Q1) Given points in cylindrical system,: M(2, n, 0), N(1,0, 2),P(3, t/2,1), find: (a) RMN; (b) rM|;…
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Q: Resolve F, into components along the u and v axes, and determine the magnitudes of these components.…
A: SOlution: given that F2 = 150 lb to find the components of the force along u and v
Q: Q2 (i) Evaluate ,7 dz, where C is the positively oriented circle lz - 1| 1.
A: Here we have to integrate the complex integral I=∮(z¯)2 dzalong a circle z-1=1, x-12+y2=1 ;this…
Q: Ql: Show that: sin e sin o -cos e cos o cos e sin o -sin e cos o A, A, A. sin 0 cos o Cos A A %3D…
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Q: Q2:- Enumerate the possible polar diagrams forl= 3, and the seven possible values of m i for this…
A: Required : Possible polar diagrams for l = 3
Q: 25- Which of the options is correctly given in terms of the area (cm^2) of a surface whose surface…
A: A vector quantity has both magnitude and direction .Direction of vector is given in terms of unit…
Q: value of the mass
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Q: Studies of stellar dynamics in the active galaxy NGC 3115¹1 have revealed a central black-hole mass…
A: Mass of black hole = MBH = 9.2 × 108 M⊙ where M⊙ is mass of Sun Velocity dispersion = σ = 278 km/sec…
Q: 2. Solve the following Laplace equation analytically PDE: Uz + Uyy = 0, u = u(x, y), 0 < x < 2, 0<y…
A: Laplace's equations are the fundamental equations satisfying by the potential energy φ due to a…
Q: As part of a department store display, a model train D runs on a slight incline between the store's…
A: Given, speed of shoppers C and B = speed of escalators = 3 ft/s B views train to be moving at 22…
Q: Jse Cauchy's theorem or integral formula to evaluate the integrals.
A: If f(z) is analytical function within and or on the closed contour and a is any point of…
Q: Rodrigue's P (x), P-1/2 (1) formula and find and Use Po Gx) Pe G).
A: Solution: Rodrigue's formula for Legendre's polynomial 1) P0(x)
Q: 33. In a parallel projection, will a line parallel to the Z axis project as a point, a line, or not…
A: A line parallel to the z-axis has certain fixed values of x and y and a variable value of z. If a…
Q: Q5) Plot the point with spherical coordinates (8, x/3, n/6) and express its location in both…
A: The rectangular coordinates of two different points (present in a three-dimensional plane) are used…
Q: Q5) Given H = sina in free space where, r = 3, 0≤0 ≤90, 0≤ ≤ 90°. Evaluate both sides of stokes…
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Q: Review | Constants | Periodic Table (Figure 1) shows a snapshot graph at t = 0 s of two waves…
A: The objective of the question is to determine the correct snapshot graph showing the string at t = 3…
Q: 2. Consider the spherical coordinate system Z X 0 * (r, 0, 0) 11 I y a) Express x, y and z as…
A: Since you have posted a question with multiple sub-parts, we will solve the first three sub parts…
Q: 13 Diagram 9 Rajah 9 Which of the following equations shows the relationship of y and x correctly…
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Q: The Laplacian in 2D Cartesian coordinates reads: 8² 8² A = əx² dy² Consider new coordinates u =…
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Q: Question 6 The angle formed between A = 5a,+10ag+3az and surface z = 5 is
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Q: Write the following function as a linear differential equation system of rank 1 and find the…
A: Given: The linear differential equation is given as,
Q: Spherical mirrors. Object O stands on the central axis of a spherical mirror. For this situation…
A: object distance (ps) = 27 cm mirror type = convex distance between the focal point and the mirror =…
Q: 30 mm 60 mm 90 mm 30 mm 20 mm
A: In a given figure we calculate first moment area about y axis
Q: what is 5b angle of -A
A: 5b) Given that, the x component of the vector A is Ax=-36 The magnitude of vector A is A=82 Then…
Q: - The depth, d at which the value of acceleration due to gravity becomes 1 times the value at the…
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Q: Q3) Find the solution of Laplace's equation in rectangular coordinate?
A: Given, Laplace equation in rectuangular coordinate
Q: Determine the second moments with respect to The x- and y-axes through the centroid of the area. 4…
A: Consider the diagram shown below for the given figure. Areas:
Q: 20B) If m2 is 2000 Kg, find m1 using Lami's theorem. D( 80° 3 4 30° m2 m1
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Q: Use the given graph of f(x) to sketch the graph of its derivative, f'(x), on the same axes. -0.5 0.5…
A: The derivative of f(x) is simply the slope of f(x) because derivative of f(x) can be written as…
Q: why is P= VI a parabola? please explain the relationship
A: As we know that the degree of polynomial of the parabola equation is 2. The equation of the parabola…
Q: The initial velocity of target particle in center of mass coordinates is equal to that of .. in…
A: Let us understand this problem with an example : Let the velocity of the incident particle be v and…
Q: 2. Gradient of the cyllindirical coordinates Drive gradient of the cyllindirical coordinates as we…
A: Derive gradient of the cylindrical coordinate.
Q: The second moments of area of the rectangle about the A-A and B-B axes have relative values: А. В.…
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Q: Verify Stokes' Theorem for fas F. dr, where F = -yr²i+ry2j + zk, and S is the part of the sphere x²…
A: Stokes' theorem states that for a smooth oriented surface S bounded by a simple, closed, piecewise…
Q: Q.3) Explain the concept of "reciprocal spreading" You may explain it by giving sufficient detail.…
A: Solution: Given that to explain the concept of reciprocal spreading.
Q: 4) Use Gauss' Law to find the gravitational field inside the Sphericall Shell of radius Randma…
A: We have a spherical shell of mass M and radius R. We need to find that gravitational field inside…
Q: The figure shows a spherical hollow inside a lead sphere of radius R = 4.8 m; the surface of the…
A: radius R =4.8 m mass of sphere M =384kg mass of small sphere m =45 kg distance d =15 m before…
Q: What are its geocentric coordinate for the Geodesy satellite Ajisai which have the orbital…
A: in this question we have to find the geocentric coordinate for the Geodesy Satellite Ajisai.
Q: Find the distance between the Earth and the planet Venus at the point of maximum elongation B ?! The…
A: Distance between Earth and Sun, x1 = 15×1010 m Distance between Venus and Sun, x2 = 10.8×1010 m…
Q: Determine the tangent to the curve 3y2 = x³at (3,3) and calculate the area of the triangle bounded…
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Q: Multiplicative Vector Lab These problems share the same set of vectors (and the same as the previous…
A: The angle (θ) between any two vectors P and Q be defined as, θ=cos-1P→.Q→P→Q→
Q: Electric charge is distributed over the triangular region D shown below so that the charge density…
A: Total charge over a region is given by the double integral of charge density over the region that…
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