This is for a solid sphere of radius R rolling down a hemisphere of radius 5R.please help me understand how to produce these 3 equations. Thank you!the holonomic constraint equations are g₁ (r, 0, 0) = r — 6R = 0 and92 (r, 0, 0) = Ro-5R0=0L (r, 0, 0) ={mr² + 1/{mr²0² + / mR²² - mgrcos (0)produce three Euler-Lagrange equations.SLd (4) - 500dtSL(S)ddtd ($)dt--8g2+1₂50/200 dgiΣidøδὲ№₁0% + A21δL = λ + λ = ΣSL8080sgt808giSL61 = A₁ / + √₂/² = Σ₁ %fhλdrdr

Answered: Image /qna-images/answer/2f58832d-b86b-4dfe-83a2-c43d9b06103d.jpg

Answered: This is for a solid sphere of radius R…

Similar questions

Given the points in space, A = (4,2,– 3), B = (-2,5,1), and C = (5,1,– 2) A) Find a parametric set of equations for the line through point A parallel to the line through points B and C. B) Find the equation of the plane containing points A, B, and C using a vector approach (from chapter 11). C) Find the coordinates of a point on the plane other than A, B, or C which does not lie on a coordinate axis. (no 0 coordinates)
Question: True or False. Why? A vector space must contain at least two vectors. My Comment: I'm confused why this is a question because I believe it to be False. If I draw one vector on a graph with the coordinates (3,5), it is taking up a vector space on an xy coordinate system. Is that incorrect?
Using spherical polar coordinates r, 0, p to find CM of a uniform solid hemisphere of radius R, whose flat face lies in the xy plane with its center at the origin. The element of volume is in spherical polars of dV = r² dr sine de dip.
Jungle gym, dot products, unit vectors. A coordinate system is laid out along the bars of a large 3D jungle gym (the figure below). You start at the origin and then move according to the following steps. For each step, the distance (in meters) and direction in which you move A. are given by the cross product A x B of the given vectors A and B. For example, the first move is 18 m in the +z direction. What is the magnitude dnet of your final displacement from the origin? (a) A = 3.01, B = 6.0 (b) A = - 4.01, B = 3.0k - (c) A = 2.0₁, B = 4.0k (d) A = 3.0₁, B - 8.0 (e) A = 4.0K, B = - 2.01 (f) A = 2.01, B - 4.01
solve for the cylindrical and spherical coordinates of vector N=24i-2j+9k and show the illustration of the graph of spherical and cylindrical.
In nature, substances often possess a crystalline structure. The basic component of a crystal is the unit cell, such as the rectangular parallelpiped illustrated in ( Figure 1). In the questions that follow, express your answers in terms of the unit vectors i, j, and Â, that is, a vector with components VI, Vy, and V₂ in the x, y, and z directions, respectively, is written V₂i + V₁₁+V₂k. Part A What is the vector vco from point C to point O? Express you answer in terms of any of the following: L1, L2, L3, i, j, and . View Available Hint(s) Figure E H ΜΕ ΑΣΦ Vco = Submit 1 of 1 Part B ? F G What is the vector VOE from point o to point E? Express you answer in terms of any of the following: L1, L2, L3, i, j, and k. VOE = ΜΕ ΑΣΦ ? A B C Submit Request Answer
1.3 Determines the value of m so that the vectors ū = [-2,6,4] and v = [m,9,6] are: A) collinear B) orthogonal