Find the inertia tensor for the prism of this problem of height h??????? ((((Do not give...

Find the inertia tensor for the prism of this problem of height h???????

((((Do not give another answer for the moment of inertia )))!!!!

problem: A triangular prism of mass M, whose two ends are equilateral triangles parallel to the xy plane with side 2a, is centered on the origin with its axis along the z-axis.

Expert Solution

genius_generous answered 2 years ago

a. Two masses of equal magnitude are located at (0,0,a) and (0,a,0). Find the Inertia Tensor....

a. Two masses of equal magnitude are located at (0,0,a) and (0,a,0). Find the Inertia Tensor. Now set m =1 and a = 1 What are the Eigenvalues? What are the principal axes (eigenspaces)? b. Now ADD a third mass at (0,a/2,a/2) to the above system of part A. Find the Inertia Tensor. What are the eigenvalues? What are the principal axes (eigenspaces)? Form the Matrix P from the normalized eigenvectors and carefully explain IF you can interpret P as...

The mass m is dropped from a height h. Find the magnitude of Coriolis deflection and...

The mass m is dropped from a height h. Find the magnitude of Coriolis deflection and its direction (i.e north south east or west). You can assume location being in the northern hemisphere at latitude θ and that rotation of the Earth is slow.

We will find the Moment of Inertia Moment and Polar Moment of Inertia of a U...

We will find the Moment of Inertia Moment and Polar Moment of Inertia of a U profile that will determine its dimensions by ourselves.

A) Find the time tH it takes the projectile to reach its maximum height H. B)...

A) Find the time tH it takes the projectile to reach its maximum height H. B) Find tR, the time at which the projectile hits the ground after having traveled through a horizontal distance R. C) Find H, the maximum height attained by the projectile. D) Find the total distance R (often called the range) traveled in the x direction; see the figure in the problem introduction.

A problem involves a car of mass m going down a track from a height H,...

A problem involves a car of mass m going down a track from a height H, and round a loop of radius r. The loop is frictionless. It asks for the minimum cut-off speed required, at the highest point in the loop (call it point D), such that the car makes it round the loop without falling. I know the solution; I should set the centripetal accleration equal to 9.81. In other words, contact force with the track at point...

Show that Christoffel symbols do not transform like a tensor. And, how does the determinant of...

Show that Christoffel symbols do not transform like a tensor. And, how does the determinant of the metric tensor transform general under coordinate transformation?

A rock is thrown at a window that is located at a height h = 36.33...

A rock is thrown at a window that is located at a height h = 36.33 m above the ground. The rock is thrown at an angle of θ above horizontal. The rock is thrown at time 0 seconds from a height of hi = 2.00 m above the ground with an initial speed of v0 and experiences no appreciable air resistance. After t = 2.0 seconds, let the velocity of the rock be v =(15.00 i + 6.38 j...

Find the moment of inertia Ix of particle a with respect to the x axis

Find the moment of inertia Ix of particle a with respect to the x-axis (that is, if the x-axis is the axis of rotation), the moment of inertia Iy of particle a with respect to the y axis, and the moment of inertia Iz of particle a with respect to the z-axis (the axis that passes through the origin perpendicular to both the x and y axes). Express your answers in terms of m and r separated by commas.

Find the moments of inertia Ix, Iy, I0 for a lamina in the shape of an...

Find the moments of inertia Ix, Iy, I0 for a lamina in the shape of an isosceles right triangle with equal sides of length a if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse. (Assume that the coefficient of proportionality is k, and that the lamina lies in the region bounded by x = 0, y = 0, and y = a-x). Question: in other answers, they state that...

If a population with harvesting rate h is modeled by dx/do=9-x^2-h find the bifurcation point for...

If a population with harvesting rate h is modeled by dx/do=9-x^2-h find the bifurcation point for the equation.

Question