Consider a spacecraft with moment of inertia matrix (in terms of body axis) given by: 5000 0.0 0.0 0.0 10000 0.0 kg.m? 0.0 13000 The spacecraft is performing a maneuver to get it in line-of-sight of its mission objective. The maneuver is an attitude change where the components of angular velocity in the body axis syste remain constant. The angular velocity (in rad/s) is given by: = 0.11i+0.28j+0k . What mor (N m) needs to anplied in the body z-direction durine the maneuver
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- A space station shaped like a giant wheel has a radius of 102 m and a moment of inertia of 5.05 x 108 kg. m². A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1g. When 100 people move to the center of the station for a union meeting, the angular speed changes. What apparent acceleration is experienced by the managers remaining at the rim? Assume that the average mass of each inhabitant is 65.0 kg. m/s² @The dung beetle is known as one of the strongest animals for its size, often forming balls of dung up to 10 times their own mass and rolling them to locations where they can be buried and stored as food. A typical dung ball formed by the species K. nigroaeneus has a radius of 1.95 cm and is rolled by the beetle at 6.10 cm/s. (a) What is the rolling ball's angular speed (in rad/s)? rad/s (b) How many full revolutions are required if the beetle rolls the ball a distance of 1.35 m?A disk rotates about an axis through its center. Point A is located on its rim and point B is located exactly one fourth of the way from the center toward the rim. What is the ratio of the angular velocity ?A to that of ?B, and the tangential velocity vA to that of vB? HINT (a) the angular velocity ?A to that of ?B ?A ?B = (b) the tangential velocity vA to that of vB vA vB =
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