Dynamics Spring 1998 Exam 3

Dynamics Spring 1998 Exam 3 - ME 242 Engineering Mechanics...

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ME 242 Engineering Mechanics II (Dynamics) Exam 3, November 17, 2008 Name: You may use 1 sheet (8.5” x 11”) of notes during the exam. 1) A 1000-lb car on a roller coaster starts from rest at position 1 as shown in the figure. The car is released from rest and rolls on the track without friction. The wheels of the car are secured so that it is always attached to the track. The radius of curvature of the track is 25-ft at position 2. A) Determine the force exerted by the track on the car at position 2. (33 pts) 300 ft 2 1 25 ft 150 ft () 11 2 2 2 1 122 2 2 21 2 0 2 TV T V mg hm v m gh vg h h + =+ += + =− W F Track n 2 2 nn n Track Fm a v a r v WF m r = = −= ( ) 12 2 2 2 1 2150 1000 1 11,000 lb 25 Track Track Track Track gh h m r FW m r hh r F ⎛⎞ ⎜⎟ ⎝⎠ =
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2) (33 pts) A 10-kg package is thrown so that it slides up a 15 o incline with an initial velocity of 15 m/s. The coefficient of kinetic friction between the package and the incline is ( μ k = 0.15). Using work- energy methods, determine:
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This note was uploaded on 07/13/2009 for the course ME a taught by Professor Dr. during the Spring '09 term at University of Nevada, Las Vegas.

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Dynamics Spring 1998 Exam 3 - ME 242 Engineering Mechanics...

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