Physics > QUESTIONS & ANSWERS > University of Texas - PHY 301HW10-solutions (All)

University of Texas - PHY 301HW10-solutions

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This print-out should have 23 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 10.0 points A bowling ball is g... iven an initial speed v0 on an alley such that it initially slides without rolling. The coefficient of friction between ball and alley is µ. Find the speed of the ball’s center of mass v CM at the time pure rolling motion occurs. 1. v CM = 1 5 v0 2. v CM = 1 3 v0 3. v CM = 3 7 v0 4. v CM = 5 7 v0 correct 5. v CM = 3 5 v0 Explanation: Basic Concepts: Ffr = µ N L = I ω . Solution: The frictional force F = µ M g acts to slow the ball v = v0 − F M t . (1) It also exerts a torque R F and starts the ball rolling I ω = R F t . The ball starts rolling without slipping at time t = τ, when ω = v R ω = v R = v0 − F M τ R = R F I τ [Show More]

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