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Unformatted text preview: Example 9-7 The Pivoted Rod Figure 9-13 A uniform thin rod of length L and mass M , pivoted at one end as shown in Figure 9-13 , is held horizontal and then released from rest. Assuming that effects due to friction and air resistance are negligible, find ( a ) the angular speed of the rod as it sweeps through the vertical position, and ( b ) the force exerted on the rod by the pivot at this instant. ( c ) What initial angular speed would be needed for the rod to just reach a vertical position at the top of its swing? PICTURE We choose everything shown in Figure 9-13 plus Earth as the system. ( a ) As the rod swings down, the potential energy decreases and the kinetic energy increases. Because the pivot is frictionless, mechanical energy remains constant. The angular speed of the rod is then found is frictionless, mechanical energy remains constant....
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