For a coefficient of restitution equal to e we have

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Unformatted text preview: elation. For a coefficient of restitution equal to e, we have vLy − vSy = e (vSy − vLy ) = 2eV To complete the solution, we solve for vLy from the impact relation, which yields vLy = vSy + 2eV 5.12. CHAPTER 5, PROBLEM 12 Substituting into the momentum-conservation equation tells us that 4 1 vSy + 2eV + vSy = − V 5 5 So, again using the impact relation, there follows 1 1 vLy = − (1 + 10e)V + 2eV = − (1 − 8e)V 9 9 Therefore, the sphere velocity vectors after the impact are vL vS 1 = − (1 − 8e)V j 9 1 = V i − (1 + 10e)V j 9 =⇒ 1 vSy = − (1 + 10e)V 9 243 (b) If the large sphere is at rest after the impact, we find 1 vLy = − (1 − 8e)V = 0 9 Therefore, the coefficient of restitution is e= 1 8...
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This note was uploaded on 12/16/2010 for the course AME 301 at USC.

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