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A space station shaped like a giant wheel has a radius of 109 m and a moment of inertia of 4.96 times 10^8 kg. m^2. A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1 g. 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...
A) in minutes B) in launched pairs C) in rad/s All of the questions on this exam concern a space station, consisting of a long thin uniform rod of mass identical uniform hollow spheres, each of mass D E 74-meters, attached at the ends of the rod, as shown below. Note that none of the diograms shown is drawn to scale 4 4x 10° kg and length C. 4.4 x10 kg and l length C.240 meters, with two 17-'x 106kg...
A hoop of mass M = 3 kg and radius R = 0.4 m rolls without slipping down a hill, as shown in the figure. The lack of slipping means that when the center of mass of the hoop has speed v, the tangential speed of the hoop relative to the center of mass is also equal to vCM, since in that case the instantaneous speed is zero for the part of the hoop that is in contact with the...
Mass of station is 3.8X106 Suppose once again that the space station begins at rest, not rotating. This time, instead of using rocket engines attached to the spherical end modules, we will have small probes periodically launched from two points on the rod-shaped part of the station as shown. The probes will launch in pairs in opposite directions, each individual probe of identical mass 1287 kg and launched at a speed of 15900 m/s with respect to the space station....
A space station shaped like a giant wheel has a radius of 102 m and a moment of inertia of 4.95. 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...
A hoop of radius R = 1.5 m and mass m = 0.5 kg is pivoted at a point on the rim and allowed to swing as a physical pendulum. What is the period of the hoop? g = 9.8 m/s2 4.0 s 3.85 3.5 s 5.0 s
A space station shaped like a giant wheel has a radius of 127 m and a moment of inertia of 5.08 ✕ 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...
A space station shaped like a giant wheel has a radius of 115 m and a of inertia of S.10 x 10 kg m2.A crew of 150 lives on the rim, and the station is rotating so station for a union meeting, the angular speed changes. What apparent ? Assume that the average mass of each inhabitant is 65.0 kg.
A hoop of mass M = 2 kg and radius R = 0.4 m rolls without slipping down a hill, as shown in the figure. The lack of slipping means that when the center of mass of the hoop has speed v, the tangential speed of the hoop relative to the center of mass is also equal to VCM, since in that case the instantaneous speed is zero for the part of the hoop that is in contact with the...
3. 25 points A uniform hoop of mass M and radius r has a uniform rod of mass m and length r welded to it as illustrated. a) Given that the rod is at an angle θ from the horizontal, and that the hoop is rotating at a rate ω and rolling on the floor without slipping, what is the total Kinetic Energy, and total Potential Energy (use the height of the center of the hoop as your datum)? Hints:...