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LME_PracticeProblems

# LME_PracticeProblems - Practice Problems on the Linear...

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Practice Problems on the Linear Momentum Equations C. Wassgren, Purdue University Page 1 of 49 Last Updated: 2010 Sep 16 COLM_01 A frequently used hydraulic brake consists of a movable ram that displaces water from a slightly larger cylinder, as shown in the figure. The cross-sectional area of the cylinder is A c and the cross-sectional area of the ram is A r . The ram velocity, V , remains constant. Assume that the gap between the cylinder and the ram is much smaller than the displacement of the ram x . a. Determine the water velocity as it leaves the cylinder. b. Determine the force F on the ram in terms of A r , A c , and V . Assume that the cylinder is initially full of water, that gravitational effects are negligible, and that the water exits the cylinder to atmospheric pressure. Answer(s): 1 out 1 c r c r r V A A V A A A 2 3 2 2 c r r c c r A A F V A A A A x V F A c A r water filled cylinder

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