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Unformatted text preview: 6. Determine the natural period of vibration of the disk having a mass m and radius r . Assume the disk does not slip on the surface of contact as it oscillates. 7. Determine the differential equation of motion of the 15 kg spool. Assume that it does not slip at the surface of contact as it oscillates. The radius of gyration of the spool about its center of mass is k G = 125mm. 8. If the block is subjected to the impressed force F =F .Cos ω t, show that the differential equation of motion is ( ) t Cos m F y m k y . . ω = + & & where y is measured from the equilibrium position of the block. What is the general solution of this equation? 9. The 15 kg block is attached to two springs having a stiffness of 150 N/m. A force F=( 40.Cos 3t) N , where t is in seconds, is applied to the block. Determine the maximum speed of the block after frictional forces cause the free vibrations to dampen out....
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This note was uploaded on 06/24/2009 for the course CE xxx taught by Professor Tuken during the Spring '09 term at Middle East Technical University.
- Spring '09
- Structural Engineering