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0593_C14_fm  Page 512  Tuesday, May 7, 2002  6:56 AM





                       512                                                 Dynamics of Mechanical Systems


                       P14.5.6: A ring with radius 8 in. is rolling on a straight line on a level perfectly rough
                       surface as represented in Figure P14.5.6. Determine the minimum speed  v needed for
                       stability of the motion. Compare the result with that of Problem P14.5.1.




                                                                               v
                       FIGURE P14.5.6
                       A ring rolling in a straight line on a
                       perfectly rough surface.

                       P14.5.7: Repeat Problem P14.5.6 for a ring with radius 25 cm. Compare the result with
                       that of Problem P14.5.2.
                       P14.5.8: A ring with radius 10 in. is pivoting on a flat horizontal surface as represented in
                       Figure P14.5.8. Determine the minimum angular speed Ω for stable rotation. Compare the
                       result with that of Problem P14.5.3.


                                                                     Ω






                       FIGURE P14.5.8
                       A pivoting ring.

                       P14.5.9: Repeat Problem P14.5.8 for a ring with radius 30 cm. Compare the result with
                       that of Problem P14.5.4.
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