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finalc.fall2010

# finalc.fall2010 - ME 352 Machine Design I Fall Semester...

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1 ME 352 - Machine Design I Name of Student___________________________ Fall Semester 2010 Lab. Div. Number__________________________ FINAL EXAM. OPEN BOOK AND CLOSED NOTES. Wednesday, December 15th, 2010. Use the blank paper provided for your solutions. Write on one side of the paper only. Where necessary, use the given figures to show vectors. Any work that cannot be followed is assumed to be in error. Staple each problem separately and attach your crib sheet to the end of Problem 1. Problem 1 (25 Points) . For the mechanism in the position shown in Figure 1, the constant angular velocity of the input link 2 is 2 3 k rad / s ω = with a torque 12 T 1.5 k N-m = − acting at bearing 2 O . The length of link 2 is 2 O A 0.12 m, = 2 3 O G 0.09 m, = 2 2 O G 0.045 m, = and the free length of the spring attached between ground pin O 1 and pin A is 0.5 m. A viscous damper is attached between pin O and link 3. There is a horizontal force P acting at pin A, gravity is acting vertically downward, and the effects of friction in the mechanism can be neglected. The known data (where 23 R is the vector from bearing O 2 to the mass center 3 G and 3 R is the vector from ground pin O to the mass center 3 G ) is: 23 R 3 R 23 R ′′ 3 R ′′ 2 m 3 m 2 G I 3 G I K C m/rad m/rad m/rad 2 m/rad 2 kg kg kg.m 2 kg.m 2 N/m Ns/m + 0.052 + 0.104 + 0.150 + 0.120 7 12 0.75 2.25 15 75 Determine: (i) the first-order kinematic coefficients of the linear spring and the viscous damper.

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