# Question 6 1 consider a non rotating space station in

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5 pointsQUESTION 61.Consider a non-rotating space station in the shape of a long thinuniform rod of mass 6.39 x 10^6 kg and length 1110 meters. Rocketmotors on both ends of the rod are ignited, applying a constant force ofF = 4.03 x 10^5 N to each end of the rod as shown in the diagram,causing the station to rotate about its center. If the motors are left
running for 2 minutes and 48 seconds before shutting off, then howfast will the station be rotating when the engines stop?
5 pointsQUESTION 71.This time we have a non-rotating space station in the shape of a longthin uniform rod of mass 6.59 x 10^6 kg and length 1180 meters.Small probes of mass 8331 kg are periodically launched in pairs fromtwo points on the rod-shaped part of the station as shown, launching ata speed of 2706 m/s with respect to the launch points, which are eachlocated 302 m from the center of the rod. After 13 pairs of probes havelaunched, how fast will the station be spinning?
5 pointsQUESTION 8
1.Now we have a rod-shaped space station of length 789 m and mass9.41 x 10^6 kg, which can change its length (kind of like an old-fashioned telescope), without changing its overall mass. Suppose thatthe station is initially rotating at a constant rate of 1.39 rpm. If thelength of the rod is reduced to 504 m, what will be the new rotationrate of the space station?
5 pointsQUESTION 91.A diver of mass 73.9 kg stands on one end of a diving board of mass38.4 kg, as shown in the diagram. Everything is in equilibrium (sincenothing is moving). What is the magnitude of the support force on theopposite end of the diving board?1,638N1,310N2,129N786 N
5 pointsQUESTION 101.You push on a rectangular door at the location of the knob (seediagram for top view). The door s mass is 76.1 kg, and its side-to-sidewidth is 2.21 m. The knob is located 0.18 m from the right-hand side ofthe door. If you push with a force of 169 N, what will the be the door sangular acceleration as it swings on its hinges? (Note: the moment ofinertia of the door of mass M and width x, swinging on its hinges, is(1/3) M x^2.)4.16rad/s^20.83rad/s^22.77rad/s^21.39rad/s^2PART 4

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Term
Spring
Professor
professorArshwani
Tags
Mass, Velocity