103.Ph.D.QE.SDV - 3 A section of pipe weighing 48.3 lb...

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Ph.D. Qualifying Exam Statics, Dynamics, & Vibrations (Fall 2010) Name:________________________________ (Time: 2 hours) ID #:_________________________________ 1. Determine the axial forces , AB F , BC F and FG F in members AB , BC , and FG of the compound truss as shown in Fig. 1. Use T or C to indicate whether each of these forces is a tensile force or compressive force. Fig. 1 Fig. 2 2. Two drums C and D are rigidly fastened together and are free to rotate about the bearing at O as shown in Fig. 2. The coefficient of static friction s µ is 0.12 between the belt and all surfaces of the drums. Determine the minimum magnitude min P of the applied force P required to prevent the 80-lb block A from falling down to the ground.
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Unformatted text preview: 3. A section of pipe weighing 48.3 lb rolls without slipping with angular velocity ω 1 before falling into a 14-in. gap (a pot hole) as shown in Fig. 3. If impact at the gap is perfectly plastic and the pipe rolls with ω 2 = 4 rad/s after having climbed up the gap to the other side, determine its angular velocities ( a ) ′′ ω just after impact, ( b ) ′ ω just before impact, ( c ) ω 1. Fig. 3 Fig. 4 4. A section of thin semicircular shell of mass m and mean radius r rests at the bottom of a cylindrical surface of radius R as shown in Fig. 4. If the shell rocks without slipping on the surface, determine its frequency of small-amplitude vibration....
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This note was uploaded on 11/24/2011 for the course MEEG 4703 taught by Professor Ing-chang,j during the Fall '08 term at Arkansas.

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