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: A = (2, -4) and B = (-3,3). Determine the distance between points A and B and find their polar…

A: Two points given in the xy plane  A = (2, -4) and B = (-3,3)   Find: Distance between the A and B…

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: Suppose i = 31 + 8j – 18k and ū 31 + 3j + k. Compute the following: %3D The cosine of the angle…

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Q: Which are possible errors in Visual Python? Select one: O Syntax and Math (Logic) O Systematic and…

A: Possible types of error in visual python are syntax error, logical error and exceptions. Therefore,…

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: Show a[1 2 1] direction on a simple cubic unit cell and give the location (in correct notation) for…

A: The required direction vector for [1 2 1] is shown in the figure below.

Q: Calculate the following commutators: (a) [P, ² ] (b) [â² , p²]

A:

Q: Given the following information, find the unit vector of Force A Force A = 200 N Θ = 30o (on x-y…

A: Given: Vector A : 200 N Angles θ=30∘ ( on x-y plane) ϕ=50∘ ( on x-z plane)

Q: Find the general solution to the differential equation y" = 2– sin 2r.

A: y'''=2-sin2x

Q: The reason we typically use rectangular coordinates for two-dimensional or three-dimensional motion…

A: x^ , y^, z^ are the three orthogonal unit vectors in rectangular coordinates.and…

Q: If A = 4i − 3k and B = −2i + 2j − k, find the scalar projection of A on B, the scalar projection of…

A: The given vectors are, A=4i-3kB=-2i+2j-k

Q: A small sphere slides without friction on a smooth wire bent in the shape of a cycloid (figure 2)…

A: (a) Given: The parametric equations of the cycloid are as follows.  x=a(θ-sinθ)y=a(1-cosθ)…

Q: Transform each of the following vectors to spherical coordinates at the point specified. F = yax -…

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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: can you help me determine the coordinate direction angles of FR?

A:

Q: Check if the gradient theorem is fulfilled by integrating f = x2 + 4xy + 2yz3 between the points a =…

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Q: The density of a spherical solid at a point P = (x, y, z) is given by f(x, y, z) = c(x² + y² + z²) ,…

A: The density of spherical solid at any point P(x,y,z) is given by,  Therefore, the density at point…

Q: magnitude of A

A:

Q: From a differential equations class: A mass of 6kg stretches a spring 15cm. The mass is acted on by…

A: The general equation of a mass of m (kg) stretching a spring attached to viscous damper with force…

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: 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: Using the method of separation of variables, find the solution of the following equation Pu, Pu = 0…

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Q: B) Find the equation of the plane containing points A, B, and C using a vector approach (from…

A: (B) Given: The points in space are A=4,2,-3, B=-2,5,1 and C=5,1,-2. Introduction: A plane is a flat,…

Q: 1)State the number of coordinates needed to specify the position of a particle moving in space.…

A: (1) Introduction: Constraints are the conditions or restrictions imposed on the motion of particle.

Q: a) Find the x−coordinate and y− coordinate of the point E=(x,y,−0.35m) on the line of action of F¯.…

A: Given, The vector, uAD→=0.7478i^-0.6327j^+0.2013k^ If the force F→ is along AD, then the moment of…

Q: On a certain mountain, the elevation z above a point (x,y) in an xy-plane at sea level is z = 2000…

A: We have given that the elevation z above a point (x,y) plane at sea level is z = 2000-0.02x2-0.04y2.…

Q: Which of the following gives the result of (A × B) • C ?

A: Given value--- A = 2 i + k. B = -5 i - 7 k. C =  9 i - j + k. We have to find---  (A × B) • C ?