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0593_C09_fm  Page 317  Monday, May 6, 2002  2:50 PM





                       Principles of Impulse and Momentum                                          317



                                                                          O



                                                                       h

                                                                 m
                       FIGURE P9.7.9
                       A bullet fired into a hanging bar.             V



                                                                                  n
                                                                                   2
                                                                         C
                                                               B                       n  1
                                                                            n
                                                                              3
                                                                      G
                                                                              10 m/sec
                                                             4 m
                                                                                  O
                       FIGURE P9.7.11
                       A rectangular plate striking a  fixed          3 m   D
                       ledge.                                    A
                       P9.7.12: See Problem P9.7.11. Determine the velocities of points A, B, and C and the mass
                       center G of the plate just after impact.
                       P9.7.13: See Problem P9.7.10. In Problem 9.7.10 find the distance h so that the bullet strikes
                       the bar at the center of percussion so that there is no horizontal reaction at the pin at O.
                       Repeat Problem 9.7.10 using this value of h instead of 0.8 m.
                       P9.7.14: Consider again the pin-connected double bar of Figure 9.8.7 and shown again in
                       Figure P9.7.14. Let the bars each have length 1.0 m and mass 0.5 kg. Let the impulse of
                       the force P be 150 Nm. Determine the velocity of end O and the angular velocities of the
                       bars just after impact.

                                                                 1 m       Q     1 m      O


                       FIGURE P9.7.14                                                      P
                       Pin-connected bars struck at one end.
                       P9.7.15: Repeat the analysis of Example 9.8.4 if the bars are no longer identical but instead
                       have lengths    and    and masses m  and m  where the masses are proportional to the
                                    1
                                           2
                                                               2
                                                        1
                       lengths.
                       P9.7.16: An automobile wheel and tire W weighing 50 lb with diameter 24 in. and axial
                       radius of gyration 7 in. is rolling at 15 mph toward a 6-in. curb. Find the angular velocity
                       of W immediately after impact with the curb.
                       Section 9.10 Impact: Coefficient of Restitution
                       P9.10.1: A car A traveling at 20 mph strikes the rear of a car B which is at rest as in Figure
                       P9.10.1. Let the weights of A and B be 3220 lb and 2800 lb, respectively. Determine the
                       speeds of A and B immediately after collision under the following assumptions.
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