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Name Kenneth Butler ye Ais AE2220 Fall 2012 Quiz 4B The length of this quiz is 25 minutes. HONOR CODE FOR THIS QUIZ; This quiz is closed book, closed notes, no calculator. By signing the statement below, you are agreeing that you have not received or given any help on this exam, either by sharing or discussing the contents of the exam during the exam period or by having access to any form of written or oral aid during the exam, By signing this statement, you acknowledge that the violation of this statement constitutes academic dishonesty and will be reported to the GIT Administration for disciplinary action. I have abided by the Honor Code as delineated above:_én.a4 0, Shot (readable signature) Use pencil AND an eraser. All work should be included on the FRONT of this or the following shcet; use the back for scratch calculations. The final answers should be boxed or circled. Consider the wheel assembly below. It is composed of three cylinders: 1, 82, and §3, as denoted in the figure. The train travels at a constant speed of 20 m/sec to the right on a track coincident with body 6, as shown in the figure. The radius of By is 0,] m, Assume that the wheel roll and do not slip. The wheel center, C, also acts as the axis origin — Jook at both figures! Note that points P and A bisect the wheel lengths, L. m =50 kg, L,= 2m. View 1 = 0.4m, m,=100 kg, L, = 0.2 m. Make sure you SHOW YOUR WORK so that you can earn partial credit. Calculate the angular velocity of the wheel. Calculate the velocity of point A. You can use any method you wish. Compute the mass center of the half wheel assembly shown in View 2; use point C as the axis origin! Compute the moment of inertia about the z axis at point P for body 1 (View 2). What is the radius of gyration for IE of body 1 from part d)? Compute the yz product of inertia of body 2 at point D shown in View 2. V2 20% “a Dm a b. = rote cay x (1aPye 2oP- ZT ERAT ws Bye Ve WE eg = 208 + Cred ® CI - ce “awwt c® a) OQ x= Lee ke t Maken 7 a Mey (100 bg (Aed= GoaepCles) + 52 co Ammer fea ra Ear hyirtes joo + }00 +30 -larso <40 -\8432 = Ye =-e+ O (5 yowedrve) ‘%, Ye, %)* (2 2, 0) in pelatren Po pont c, 
