The masses m; are located at the points P₁. Find the moments Mx and My and the center of mass of the system. m₁ = 3₁ m₂ = 2₁ m₂ = 1, m₁ = 4; P₁(6, 4), P₂(3, -1), P3(-2, 2), P4(-2,-5)

Q: For the system in polar coordinates, i = ur – r3 = w + br? change the system to Cartesian…

A:

Q: Find an equation of the plane through(-4, 4, – 4) that is perpendicular to the planes 9x – y + z = 9…

A: Given,            The plane passes through -4,4,-4 that is perpendicular to the planes…

Q: Find components of the with given initial point P(x1,Y1,Z1) and terminal point Q(x2.Y2,Z2), also…

A: a) Solution:-  3)  P(3,8,-1), Q(-3,-8,1)

Q: B. D A 12 C Use example #1 to help you below #1 Point G is the centroid of AABC, segment BG = 6,…

A: Since G is centroid the line segment from G passes through midpoint of AC Since, AF=FC then FC=AF=12…

Q: The following system of equations describes a shape in R³ using cylindrical coordinates. r = 1 Z = 0…

A: Relation between cylindrical co-ordinates and rectangular co-ordinates is given as  x=r cosθy=r…

Q: Find the equations r = g (0, z) (cylindrical) and p = f (0, 4) (spherical) for the hyperboloid x² =2…

A: To find-  Find the equation r = gθ, z (cylindrical) and ρ = fθ, ϕ (spherical) for the hyperboloid…

Q: The system shown is frictionless and the pulleys are massless. Determine the acceleration of…

A: Step 1:

Q: (C) (D) 6 32. Let AABC - ADEF and their areas be, respectively 64 cm? and 121, cm2. If EE = 15.4 cm,…

A: Here a given set of questions. The solution to each of the given problem is as follows.

Q: Let Q be the cube with vertices {(1, 1, 1), (1, 1, −1), (1, −1, 1), (1, −1, −1), (−1, 1, 1), (−1,…

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Q: e point of intersection of the lines [4 0] and

A: As per our guideline we are supposed to answer only one question. Here question 8. answered.

Q: 6. Given for particles of masses 2,1,3 and 5 located at the respective points 1+i,-31,1– 2i and - 6.…

A: We have particles of masses 2, 1, 3, and 5. Let these masses be represented by Mi   , 1≤i≤4 Hence,…

Q: Given A (6, 1), B = (1, 3), and C = (4, 3), find a lattice point P that makes CP perpendicular to…

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Q: Can Stokes' Theorem be used to find the flux of F through S? Clearly answer yes or no, and then…

A: Given, F→=-9z,xexz-2xex2,12 and S is the portion of the plane 2x+3z=6 that lies in the first octant…

Q: 3.) a.) Solve the system: u = 3x+2y, v=x+4y For x and y in terms of u and v. Then find the value of…

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Q: An object is acted upon by the forces F, = (12,6,4) and F2 = (0,5,8). Find the force F, that must…

A: Given that an object is acted upon by the forces F1and F2. We have to find the force F3 that must…

Q: let R = (1, 4, 3). RÓ has components (4, 1, 1), and Find the point Q such that v = sketch v.

A: Given: The components of vector v=RQ⇀ and  R= (1,4,3)  To find  Q and sketch v

Q: If u = 2x - 3y, v = -x + y. Then the Jacobian J(u,

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Q: Which of the equation(s) are dimensionally compatible? E i. = v2 + 2aAx m iii.F = mv + v² A. all of…

A: Option ' C ' is correct .

Q: 3. The point D is the centroid of AABC. Find the value of the distance DC if : GD = 2x – 8 and GC =…

A: It is known that the centroid of a triangle is the point at which the 3 medians of the triangle…

Q: Each of the five connected particles has a mass of 0.53 kg, with G as the center of mass of the…

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Q: d(x.y) d(x.y,z) or d(u,v) Find the Jacobian (as appropriate) using the given equations. d(u,v,w) u =…

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Q: y 1 X 1 2.

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Q: v(t) = (3 t² + 2 t+1) î +t² ĵ +6t² Â then after 2 minutes the particle will be at the point: 1) (16,…

A: 2 correct

Q: 3. +1) cos (7T) dt equals a) u (t) b) 2u(t – 2) c) 늘u(t+2) d) 을u(-t+2) e)None 4. the system y (t) =…

A: Given that: ∫0tδ-t2+1cos(πτ)dτ So, we can write the above iteration like in following way:…