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sample_final_sp08

# sample_final_sp08 - ME 274 Spring 2008 Name Final...

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3 ME 274 – Spring 2008 Name Final Examination - Wednesday PROBLEM NO. 1 Instructor Given : Disk P (having a mass of m = 2 kg) is constrained to move on a smooth, horizontal surface. An inextensible cord is attached to P with the cord passing through a hole in the surface at point O. A particle having a mass of M = 8 kg is attached to the other end of the cord, as shown below. At position 1 where R = 2 meters, P has a velocity that is perpendicular to OP with v 1 = 3 meters/sec. At position 2 where R = 1.5 meters, the velocity of P has both e R and e ! components. Find : For position 2 of P, a) find the value of ! ! = d ! / dt . b) find the value of ! R = dR / dt . c) write down the velocity vector for P in terms of its polar coordinates. Please start your work for this problem on the next sheet. v 1 v 2 M O P P R 2 e ! e R e R e ! ! ! R 1 1 2 smooth, horizontal surface g m B

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5 ME 274 – Spring 2008 Name Final Examination - Wednesday PROBLEM NO. 2 Instructor Given : A mechanism is made up of links OA and AB. OA (having negligible mass and length 0.6L) is pinned to ground at O and pinned to AB at A. Link AB (having a mass of m with uniform mass distribution and length L) is free to slide within a smooth slot at end B with this slot being perpendicular to line OD. A force F acts in the direction shown at B. The system is
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