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# p0522 - 264 CHAPTER 5 IMPULSE AND MOMENTUM 5.22 Chapter 5...

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264 CHAPTER 5. IMPULSE AND MOMENTUM 5.22 Chapter 5, Problem 22 Problem: Aba l lo fmass m rolls into a horizontal corner with initial velocity v . After it reflects from the two walls forming the corner, it encounters a spring. The coefficient of restitution of the ball is e and the spring constant is k = m/ τ 2 ,whe re τ is a characteristic time. (a) Verify that the velocity of the ball when it emerges from the corner, v o , is parallel to v . (b) Determine the maximum deflection of the spring, ξ , as a function of e , τ and v = | v | . Solution: In the first part of this problem we focus on the impacts as the ball strikes the two walls. Then, using the velocity of the ball just after the second impact as the initial condition, we compute the maximum deflection of the spring. Note that we write the incident velocity as v = v x i + v y j where x

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p0522 - 264 CHAPTER 5 IMPULSE AND MOMENTUM 5.22 Chapter 5...

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