exam01soln

# exam01soln - ME 375 EXAM#1 Wednesday Division Shaver...

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ME 375 EXAM #1 Wednesday, February 23, 2011 Division Shaver / Krousgrill/Deng (circle one) SOLUTION Instructions (1) This is a closed book examination, but you are allowed one 8.5 × 11 crib sheet. (2) You have one hour to work all three problems on the exam. (3) Use the solution procedure we have discussed: what are you given, what are you asked to find, what are your assumptions, what is your solution, does your solution make sense. You must show all of your work to receive any credit. (4) You must write neatly and should use a logical format to solve the problems. You are encouraged to really “think” about the problems before you start to solve them. Please write your name in the top right-hand corner of each page. (5) A table of Laplace transform pairs and properties of Laplace transforms is provided at the end of this exam. Problem No. 1 (30%) ________________________ Problem No. 2 (40%) ________________________ Problem No. 3 (30%) ________________________ TOTAL (***/100%) ________________________

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February 23, 2011 SOLUTION 2 PROBLEM 1 (30%) A system is made up of a homogeneous wheel A and blocks B and C (each having a mass of m). Consider the small wheels supporting blocks B and C to be massless. A motor at O connecting block B and the wheel provides a torque T to the wheel. A spring and dashpot connects blocks B and C. A second spring connects block C to ground, as shown in the figure. The wheel is able to roll without slipping on a horizontal surface. Blocks B and C are able to slide without friction on the horizontal surface. Let θ represent the rotation of wheel A and x represent the translation of block C. Assume that the springs are unstretched when x = = 0 . The centroidal mass moment of inertia of a homogeneous wheel of mass m and radius R is given by: I O = 1 2 mR 2 . For this problem:
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exam01soln - ME 375 EXAM#1 Wednesday Division Shaver...

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