p0512

For a coefficient of restitution equal to e we have

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

This note was uploaded on 12/16/2010 for the course AME 301 at USC.

Ask a homework question - tutors are online