When the inertia tensor is said to be diagonalized?

Q: cies of transverse ki and k2 at the P= 1000 N, p =

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Q: A vector in xy plane has a magnitude of 25m and an x component of 12 M. The angle it makes with the…

A: Solution: Vector magnitude= 25 m X-component= 12 m

Q: A uniform rod of length 55.0 cm is tilted above the horizontal at a 20.0 degree angle as shown. It…

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Q: T=10 kN and Theta = 50 Degree The value of the component of F2 on x (F2X) is Select one: O'a. 10 KN…

A: Given data    T=10KN     θ=50 degrees  To determine: The value of the component      F2 on x  F2X…

Q: A13C) In a uniform gravitational field the center of gravity a. is below center of mass. O b. is at…

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Q: Given the Position vector R = 4i + 3j + Ok (m) and the Force vector F = -3i + 4j + 0k (kN)

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Q: Give the unit vector in spherical coordinates that extends from M(5,1,2) to N(2,4,5).

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Q: The three-dimensional models can be rotated about O z-axis only Ox-axis, y-axis and z-axis Ox-axis…

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Q: Diagonalize the following inertia tensor and find the princ kes.

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Q: e balances you w

A: Answer given below

Q: Find the Moment of Inertia with respect to the origin of cos 20. one loop in r? =

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Q: The moment of inertia of a body is also called as second moment.   Select one: True False

A: Solution:

Q: %3D Fs=-4i +7j kN. Find the resultant force, its magnitude, and i direction with respect to the…

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Q: State that the given statement is true or false. A) "Moment of interia depend upon mass and shape…

A: Moment of inertia :   moment of interia is defined as a measurement of rotational interia. It tells…

Q: Why the moment of inertia is always a positive quantity?

A: The moment of inertia is defined as : Here m is the mass in kg And k is the radius of gyration in…

Q: When a body floating in a liquid is given a small angular displacement, it starts oscillating about…

A: Given: Q.3When a body floating in a liquid is givena small angular displacement, it…

Q: What is the parallel-axis theorem?

A: According to this theorem, moment of inertia of an object about any given axis is sum of moment of…

Q: on plane of L3 Co, 0.0)

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Q: Flywheel serves as a reservoir to store and restore energy by virtue of its inertia Select one: O…

A: A flywheel stores the kinetic energy in a rotating mass with a very low loss of friction.

Q: 2.6. Categories of equilibrium in two- dimensions: Collinear, Concurrent at point, parallel and…

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Q: Stating your assumptions clearly, explain why that this state of stress can be mathematically…

A: Stress -  Stress is defined as the internal resistance developed on a body when under n external…

Q: 15. For a rigid body rotating in three dimensions: A) The determinant of the inertia tensor of a…

A: To choose: The correct option. Explanation: (a) For a rigid body in three dimensions, the inertia…

Q: what is meant by a moment? couple? Is it a vector or a scalar?

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Q: v theta is to be calculated and equal to

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Q: 2. Calculate an expression for and in terms of if the parametric pair is given as tan(x) = e' and dx…

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Q: A rod of mass M and length Lis nonuniform such that its mass per unit length varies with x according…

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Q: Let u-(1,l02) and V=(-1,3,0), find the distance dlůs).

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Q: efine/State the following Contact Forces and Body Forces Concentrated

A: Hi and thanks for the questions. Since you have asked questions with multiple sub-parts, as per our…

Q: Consider a robot arm as given in the following figure z=1-x 1 y y=1-x Calculate the center of mass…

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Q: Find the work done by the vector force field F(x, y) = x°i+x?yj on an object as it moves in %3D

A: When we apply a force over a body and it moves at some distance then we say work is done and is…

Q: Find the center of mass of a thin, bent wire in a semicircle, as shown in the figure dl = a de 2=a…

A: Solution: Consider an elemental section 'dl' on the wire and dl is given by,…

Q: What is the resultant if the equilibrant is 10N , 30° N of E?

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Q: 4. Three uniform masses (each mass: m) are connected by three massless arms whose shown a figure.…

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Q: Find the moment of inertia with respect to y-axis the area bounded by x2-4y+8=0, the lines x=0 and…

A: The mathematical expression for calculating the area moment of inertia of an area about the y axis…

Q: According to the figure, the vector equation is

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Q: What is inertia tensor?

A: In 3D co-ordinates, the inertia tensor is a 3×3 matrix. if this is multiplied by the angular…

Q: The diagonal terms of the inertia tensor are called the Principal moments of inertia. Rotating…

A: Write the inertia tensor as follows: Here, Ixx, Iyy, Izz are the diagonal terms.

Q: guar km/hr. What is the bearing of the ship from the light house at 4 a.m.? What is the bearing of…

A: distance travelled by the ship is d=24 km/h×2 h=48 km As ship travelled 48 km in south ward…

Q: iscuss the importance of moment if inertia in linear and rotational motion. b. Engineer design…

A: Moment of inertia does the same job in case of rotational motion , that mass does in case of linear…

Q: The magnitude and direction of Coriolis component of

A: Given data, From figure, Link 2 rotates with constant annular velocity CO2.Slider link 3 moves…

Q: The inertial tensor of the body in the coordinate system perpendicular to (center of mass to unit…

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Q: The x-component of a vector is doubled, while keeping the other components constant. What is the…

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Q: . Where is the center of mass

A: For a symmetric body center of mass is located at the geometrical center.

Q: Convert the polar function r = tan20 to cartesian.

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Q: Obtain the general solutions given the differential operators f. (3D + 5D? - 2D) y = 0

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Q: The moment of inertia of a body is also called as moment of a moment. Select one: True False

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Q: Q: Is the function below symmetric? If Yes, Which kind of Symmetry does it have? 2- y--

A: given fuction y=-x3

Q: . resist rotation. oment of inertia oment of inertia oment of inertia

A: The moment of inertia could be a property of the dissemination of mass in space that measures…

The Space Lattice and Unit Cells

Every matter consists of atoms, molecules, and ions. If these atoms, molecules, and ions (micro-particles) are represented in a three-dimensional space-occupying certain specific points in space, then these arrangements are termed as space lattices and the specific points which are being occupied by atoms, molecules and ions are termed as lattice points. The atoms, molecules, and ions at the lattice points are generally grouped in a regular fashion and repeat periodically at the three-dimensional space.