(20%) Problem 5: A uniform disk of mass 39 kg and radius a8/ m rotates about a p
ID: 2033529 • Letter: #
Question
(20%) Problem 5: A uniform disk of mass 39 kg and radius a8/ m rotates about a perpendicular aus throueh he disk ater. completes a full rotation every 0.72 second. Six small objects are attached to the disk and rotate with it: Thuce of the objects, with mass 0.92 kg each, are fixed to the edge of the disk at various locations. Two objects, each of mass 1.1 kg, are at attached to the disk diametrically opposite each other 0.67 m from the disk's center. The sixth object has a mass of 2.3 kg and is attached at the disk's center. Find the moment of inertia, in units of kg-m2 of the system consisting of the disk and its attached obiect about the disk's " 50% Part (a) axis of rotation. 50% Part (1) Calculate the magnitude of the angular momentum of the rotating system, in units of kg m, s. Grade Summary Deductions Potential 100%Explanation / Answer
(A) calculte net moment of inertia.
I= (3.9 x 0.81^2 / 2) + 3(0.92 x 0.81^2) + 2(1.1 x 0.67^2) + (2.3 x 0)
I = 4.077 kg m^2
(B) L = I w
w = 2p/T
L = (4.077 ) (2pi /0.72) = 35.56 kg m^2 / s
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