Identify whether the following examples need to be described by generalized coordinates with rheonomic constraints or scleronomic constraints: (i) a point mass sliding on the surface of a bowl, (ii) a pendulum whose support point is driven vertically up and down, (iii) a top spinning on a table

Q: Two couple forces F₁ = 63N and F₂ = 42N act on the frame. Given that d = 6m, 8=29°, a 2m, b = 4m, c…

A: To find:a) The resultant moment of both moment couplesb)The moment of all force components about…

Q: Evaluate the volume between the surface z = 3 + 2x + xy, and the rectangle in the xy plane given by…

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Q: Given the following equations of motion, and matrix P, 6.0000 0.0000 90.0000 -44.0000 0.6256 0.7802…

A: Given, 6004x¨+90-44-4444x=0 Stiffness matrix is, K=90-44-4444 And inertia matrix is, M=6004 If ω is…

Q: Derive

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Q: It is up to you to decide whether (a) a spinning top on a table or (b) a spinning top in free fall…

A: Scleronomic and Rheonomic constraints: Scleronomous mechanical systems have equations of constraints…

Q: Add a third cable to this diagram originating at point A and extending up to the wall that B and C…

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Q: Most commercial geostationary communications satellites must maintain their orbital positions to…

A: Since eccentricity is not given, we took it to be 0.001 as it is the stable orbit case

Q: motion of the point K moving along the plane is given by the equation x = 3sin (t), y = 2cos (t).…

A: GIVEN x= 3 sint y=2 sint

Q: Find a) the position vector rAB from point A to B and b) the position vector rBA from B to A.

A: Given data, Point A (3,4) Point B (11,10)

Q: Show that for any scalar λ, the vectors x, y given by satisfy the equa (x(ܡ_ (TAܠܝ ܐ ܕܥܕܐܓܦ+ܐܐ= - à…

A: The given equations are: px→+qy→=a→ .....(1)x→×y→=b  →..........(2)

Q: which one of the following matrix is not part of the Lorentz group? Select one: O a. O b. 0 с. O d.…

A: It is as follows:For matrix A to be a part of the Lorentz group, its determinant should be equal to…

Q: Identify whether the following examples need to be described by generalized coordinates with…

A: A mechanical system is rheonomous if its equations of constraints depend on time as an explicit…

Q: If A = 2i − j − k, B = 2i − 3j + k, C = j + k, find (A · B)C, A(B · C), (A × B) · C,A · (B × C), (A…

A: (A•B)C = (2i − j − k • 2i − 3j + k)( j + k) (A•B)C = (4 + 3 - 1)( j + k) (A•B)C = 6( j + k)

Q: Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following:…

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Q: (a) If G(x)=x²-7x + 7, find G'(a) and use it to find equations of the tangent lines to the curve y =…

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Q: y extend this idea to cylindrical o, z), which you may think of ar coordinate system with the cked…

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Q: Give the transformation laws for the following tensors: (a) T" (b) ÔA“ / Ə2; (1 skalar/scalar); (c)…

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Q: The components of vector A→A→ are Ax and Ay (both positive), and the angle that it makes with…

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Q: Our unforced spring mass model is mx00 + βx0 + kx = 0 with m, β, k > 0. We know physically that our…

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Q: Two twin sisters, Ana and Bia, compare their ages in different travel situations between SP and a…

A: Given: distance between the cities=L

Q: A particle P moves along the line x+y=2 in the z plane with a uniform speed 3√2 ft /sec from the…

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Q: a→=(−1, 2), b→=(1, −1); (a and b are vectors)  Find : i) Projection of a on b ii) Length of b…

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Q: a) find the lagrangian of the system b) find the equations of motion

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Q: Consider the function y = B(x) such that 8(25) = 0 and B'(25)=- Find the slope m of the tangent line…

A: A tangent is a line that touches a curve at a single point but does not cross it at that point. In…

Q: a certain corner of a room is selected as the origin of a retangualr coordinate system. A fly is…

A: Write the given values with suitable variables. x=3.7y=1.3

Q: Suppose that you have two vectors (1,0,0, 1) (2,0,0, 2) at What is a"b,?

A: Given that aμ=(1,0,0,1) and bμ=(2,0,0,2) we have to find the value of aμbμ

Q: Solve the following system of equations using the Gauss elimination method: 2x1 + x2 - X3 = 1 X1 +…

A: The given system of equations are: 2x1+x2-x3=1 x1+2x2+x3=8 -x1+x2-x3=-5 TO DETERMINE: The values of…

Q: iven the following information, find the force components of Force A Force A = 200 N Θ = 30o (on x-y…

A: Given: The magnitude of the Force vector is A = 200 N The angle made by the vector is Θ = 30o (on…

Q: The coordinate system {A} illustrated below, with the origin points coincident, and the X and Z {B}…

A: Given is  original frame {A} FIRSTLY  Frame is rotated along X axis with angle 13 degree  then…

Q: Calculate the commutator 2m between the kinetic energy and the position operators for a particle…

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Q: bosses move on a circular orbit with an environment speed of 0.7 c according to the laboratory…

A: In the laboratory frame of reference, the relative velocity of two particles is given by…