Rotational motion and angular × Physics question l Chegg.com × Secure https://ww

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Rotational motion and angular × Physics question l Chegg.com × Secure https://wwwwebassign.net web Student Assignment Responses suom n ep-171184 9r 83 Need Help? Read It 33. + -12 points SerPSET9 11.P.025. My Notes Ask Your Teacher A uniform solid disk of mass m-2.90 kg and radius r-0.200 m rotates about a fixed axis perpendicular to its face with angular frequency 5.91 rad/s. (a) Calculate the magnitude of the angular momentum of the disk when the axis of rotation passes through its center of mass. kg m2/s (b) What is the magnitude of the angular momentum when the axis of rotation passes through a point midway between the center and the rim? kg m2/s Need Help? ReaditWatch t Submit Answer Save ProgressPractice Another Version 34. 2/2 points | Previous Answers SerPSET9 11.P.029. My Notes Ask Your Teacher A space station is constructed in the shape of a hollow ring of mass 5.40 x 104 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius 150 m. At rest when constructed, the ring is set rotating about its axis so that the people inside experience an effective free-fall acceleration equal to g. (See figure below.) The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring

Explanation / Answer

here,

mass ,m = 2.9 kg

radius , r = 0.2 m

angular frequency , w = 5.91 rad/s

a)

the magnitude of angular momentum , Li = I * w

Li = 0.5 * m * r^2 * w

Li = 0.5 * 2.9* 0.2^2 * 5.91 kg.m^2 /s

Li = 0.34 kg.m^2/s

b)

using conservation of angular momentum

the magnitude of the angular momentum when the axis of rotation passes through its center is 0.34 kg.m^2/s

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