Izz Izy Izz I= Iyr Iyy lyz Izz Izy Izz) エ For a set of discrete mass m, with cartesian coordinates (ri, yi, zi) connected by massless rod, the components of the moment of inertia can be obtained using the following relations: Ixx = Σmi (y² + z²) Iyy = Σmi (x² +2²) Izz = [m₂(x² + y²) Izy = Iyx = - Σmix ¡Yi -Σmixizi -Σmyizi Izz = Izx Iyz = Izy I= (4ma² == == 0 0 4ma² 0 0 0 08ma² (b) A rigid body consists of three point masses of 2 kg, 1 kg, and 4 kg connected by massless rod. These masses are located at coordinates (1,-1, 1), (2,0, 2), and (-1, 1, 0) (in meters) respectively. . Using the formulae given for the components of the moment of inertia tensor, compute the inertia tensor of this system. • What is the angular momentum vector of this body if it is rotating with an angular velocity w (3,-2, 4)?

The member shown below is fixed at O and its dimensions are h1 = 1.10 m, h2= 0.20 m, and w = 0.50 m   A force F of magnitude F=40 N is applied at point A. Determine the magnitude of the moment of the force about point O.

Two blocks, on the frictionless incline as shown in the figure below, are connected by a string of negligible mass passing over a pulley of mass M, radius R and moment of inertia I= MR. What is the magnitude of the acceleration (in m/s) of the blocks if my = 5 kg ,m2 = 8 kg , M = 4 kg and e = 30? %3D T2 m1 m2 Lotfen birini seçin: a. 3.72 b. 3.37 c. 3.59 d. 4.00 e. 4.15

The object shown below is centered on the origin, and has a width of 20 cm in the x direction, 3 cm in the y direction, and 5 cm in the z direction. Around which axis does it have the lowest moment of inertia l?

Four identical particles (mass of each = 0.40 kg) are placed at the vertices of a rectangle (2.0 m × 3.0 m) and held in those positions by four light rods which form the sides of the rectangle. What is the moment of inertia of this rigid body about an axis that passes through the mid-points of the longer sides and is parallel to the shorter sides? Group of answer choices 2.7 kg⋅m2 3.6 kg⋅m2 1.6 kg⋅m2 3.1 kg⋅m2 4.1 kg⋅m2

The member shown below is fixed at O and its dimensions are h1h1 = 1.10 mm, h2h2 = 0.20 mm, and ww = 0.50 mm.   A force F of magnitude F=160N is applied at point C. Determine the magnitude of the moment of the force about point O.

In this problem you will be given the mass and description of various objects and will determine their moments of inertia I. All results are of the form X * M R2. You will find the numerical value of X.What is the moment of inertia for a ring with mass 2 M and an axis of rotation through the center of the ring (perpendicular to the plane of the ring) with radius 2 R. M R2   Tries 0/3   What is the moment of inertia for a disk with mass 3 M and an axis of rotation through the center of the disk with radius 2 R. M R2   Tries 0/3   What is the moment of inertia for a hollow sphere with mass 1 M and an axis of rotation through the center of the sphere with radius 3 R. M R2   Tries 0/3   What is the moment of inertia for a solid sphere with mass 4 M and an axis of rotation through the center of the sphere with radius 3 R. M R2