HW 25 - Morby Grant Homework 25 Due Apr 3 2006 noon Inst...

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Morby, Grant – Homework 25 – Due: Apr 3 2006, noon – Inst: Drummond 1 This print-out should have 16 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. The due time is Central time. 001 (part 1 of 3) 10 points A string is wrapped around the stem of a Yo- Yo which has a mass M and a moment of inertia I about its center axis. The radius of the stem is r 1 and the radius of the disk is r 2 . Denote the tension of the string T and the descending acceleration a . h r 2 r 1 M ω The correct torque equation is given by 1. T r 1 = 2 a I r 1 + r 2 . 2. T r 1 + r 2 2 = 2 a I r 2 . 3. T r 1 + r 2 2 = 2 a I r 2 - r 1 . 4. T r 1 = a I r 1 . 5. T r 1 + r 2 2 = 2 a I r 1 . 6. T r 2 - r 1 2 = 2 a I r 1 + r 2 . 7. T r 1 + r 2 2 = 2 a I r 1 + r 2 . 8. T r 2 = a I r 2 . 9. T r 2 = 2 a I r 1 + r 2 . 002 (part 2 of 3) 10 points The correct vertical force equation is given by 1. M g + T = M a . 2. M g - T = M a . 3. T - M g = M a . 003 (part 3 of 3) 10 points Release the Yo-Yo from rest. It reaches a center of mass speed v when it falls for a height Δ h . Using the same notation as in the previous questions, the correct work-energy equation is given by 1. 1 2 M v 2 = 1 2 Iv 2 . 2. 1 2 M v 2 = 1 2 I v r 1 2 . 3. M g Δ h = 1 2 I v r 1 2 . 4. M g Δ h = 1 2 M v 2 . 5. M g Δ h = 1 2 M v 2 + 1 2 I v r 2 2 . 6. M g Δ h = 1 2 M v 2 + 1 2 I v r 1 2 .
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