Problem 2 Calculate any of the eigenvalues of the inertia matrix for a spherical shell of inner radius a outer radius b, and mass M, assuming the mass density is constant.
Q: d) Having seen how the inner product behaves under rotation we can now investigate its behaviour…
A: Given that a vectorvitransforms under the Euclidean group as: vi→Oijvj+ai(4)where the…
Q: How do I do part B?
A:
Q: Assume that the box and disk each have mass m, the top of the incline is at height h, and the angle…
A:
Q: Add a third cable to this diagram originating at point A and extending up to the wall that B and C…
A:
Q: Suppose that Q is a solid region bounded by 2x + 2y – z = 4 and the coordinate planes with the…
A: Region Q is a tetrahedron meeting the axes at points (2,0,0), (0, 2, 0), (0, 0, -4) To find the…
Q: m a lets say we have a particle of mass (m). we would have to find the force of it. lets say this…
A: Given, Particle of mass = m distance from washer = a Mass of washer = ,M Inner radius of washer = Ri…
Q: Problem 3 (a) Consider a homogeneous cylinder of mass M, radius R and height h. Show that the…
A: Given Data:The masses of the cylinder and the cone are M and m respectively.The height of the…
Q: With what force does a homogeneous ball of mass M attract a material point of mass m, located at…
A:
Q: The figure above shows a small sphere of mass m at a height H from the center of a uniform ring of…
A: The x-component of the gravitational force Fx is given by the projection of the gravitational force…
Q: Use Stokes' Theorem to evaluate the line integral f F.Tds, where F = (-3y, 2x, z²) and C is the…
A:
Q: M x= -G +G M x2 (x — L)²' -
A: Given the equation d2xdt2=−GMx2+GM(x−L)2⇒d2xdt2=−GMx2+GM(L−x)2 [As (x-L)2=(L-x)2]This is a…
Q: Problem 3.55 An asteroid of mass m is initially very far from the Earth and has zero velocity…
A: We will answer the question using Newton's law of motion. The detailed steps are given below.
Q: Four planets of equal mass m are rotating with speed v in a circular orbit of radius R. The four…
A: Gravitational force is given as F = Gm1m2/r2
Q: Our unforced spring mass model is mx00 + βx0 + kx = 0 with m, β, k > 0. We know physically that our…
A:
Q: Solve with explanation and calculation
A: By multiplying normal vector by -1 doesn't change anything for the plane.you can also reduce the…
Q: Log Ride (object sliding down a circularly curved slope). In an amusement park ride, a boat moves…
A: Let v be defined as the speed at point B. And R is defined as the radius of the arc AB. At point B…
Q: 1. A ball whirls around on the end of a string, moving in a circle at a constant speed of 3.0 m/s.…
A: According to guidelines we need to solve only first question kindly repost other questions in the…
Q: Notice that there are two unknowns in the vertical motion: (1) the initial y velocity voy and (2)…
A:
Q: Find the centre of mass of the 2D shape bounded by the lines y = 10.9z between z = 0 to 2.9. Assume…
A: a) Mass 2D plate: ρ.A = 2.7*437.5 = 1181.2kg Moment about Y axis mass*RCOM = 1181.25.16.67 =…
Q: a. Prove the triple product identity Ax(BxC)= B(AC)-C(A.B).
A:
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
- Use the law of sines and the law of cosines, in conjunction with sketches of the force polygons, to solve the following problems. Determine the magnitude of the resultant R and the angle e between the x-axis and the line of action of the resultant for the following: 500 N 30° 400 N 750 N 30° 30 600 N 35°Problem 2: Using vectors, prove that the sum of the squares of the four sides of a paral- lelogram equals the sum of the squares of its two diagonals.1) On the right is an elevator cabin with a passenger being moved by the tension in the cable connected to it. The parameters of the system (the weight of the passenger and the cabin) are given below. Initially, the elevator is staying at y=0. We want to take the elevator to yd by applying the right force on the cabin. Obtain the model of this system (including the weight of the passenger) and simulate it on Simulink. Then, design a PID controller that can make sure the elevator is taken to yd. (Error in the steady-state must be zero.) Ya = 20 m Ip = 20 Ns² me = 100 kg mp = 40 kg тр Yd y T elevator me
- Problem 4 Derive expressions for the velocity (7) and acceleration (a) vectors in spherical coordinates. That is, transform and a from the Cartesian system of (x, y, z) to (r, 0, 0).A cup and bob geometry is filled with a fluid, and the bob rotates at a rate of ω = 1Hz (Hz, or hertz, has a unit of # rotations per second). The bob has a radius of R = 1 cm.(a)What is the velocity of the bob at point P on the surface of the bob in m/s?(b)What is the velocity of the fluid touching point P on the bob in m/s?(c) Why can we be confident of our answer to part (b)?(d) What type of stress (shear, normal, or both) does the bob have to exert on the fluidto rotate?The cross product AxB is perpendicular to both vectors in the cross product (think of Aand В as lying on a sheet of paper; the cross product is perpendicular to the plane of the sheet). After figuring out the two directions perpendicular to both vectors you use one of the right hand rules given on Page 338 to choose which of the two direction is correct. All three should give the same result so use whichever one you are most comfortable with. In class, we will use the middle one in the diagram in the book. The vector torque is where "is the vector from the axis of rotation to where the force is applied. Which is the direction of the torque vector? +y ++ * (in) +z (out) O = in (O) = out