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p0614

# p0614 - 298 CHAPTER 6 SYSTEMS OF PARTICLES 6.14 Chapter 6...

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Unformatted text preview: 298 CHAPTER 6. SYSTEMS OF PARTICLES 6.14 Chapter 6, Problem 14 Problem: A particle of mass 2 m translating at speed U approaches two vertically aligned pairs of particles connected by rods of negligible mass. The four particles connected by the rods all have mass m and the bars have length 2 r . After the particles collide, the incident particle continues moving horizontally, while the two pairs of particles translate horizontally and rotate at angular velocity ω as shown. The collision is perfectly elastic. (a) What is the velocity of the center of mass of the five particles after the collision? (b) Determine the angular velocity ω as a function of U and r . • • • • • • • U 2 m 2 r 2 r m m m m • • • • • • • 2 m m m m m ω ω Before collision After collision . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
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