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categoryهندسة ميكانيكية schoolبكالوريوس event_available2026-07-15

السؤال

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A string is wrapped around a uniform disk of mass M = 1.3 kg and radius R = 0.09 m. (Recall that the moment of inertia of a uniform disk is (1/2)MR2.) Attached to the disk are four low-mass rods of radius b = 0.16 m, each with a small mass m = 0.7 kg at the end. The device is initially at rest on a nearly frictionless surface. Then you pull the string with a constant force F = 32 N. At the instant when the center of the disk has moved a distance d = 0.044 m, a length w = 0.019 m of string has unwound off the disk. m m m M, R m F w+d (a) At this instant, what is the speed of the center of the apparatus? v = m/s (b) At this instant, what is the angular speed of the apparatus? W₁ = 3.1789848 radians/s (c) You keep pulling with constant force 32 N for an additional 0.043 s. Now what is the angular speed of the apparatus? W₂ = radians/s

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