Ch 4. Particle Momentum and Impulse Multimedia Engineering Dynamics Impulse & Momentum Consv. Linear Momentum Impact AngularMomentum MassFlow
 Chapter - Particle - 1. General Motion 2. Force & Accel. 3. Energy 4. Momentum - Rigid Body - 5. General Motion 6. Force & Accel. 7. Energy 8. Momentum 9. 3-D Motion 10. Vibrations Appendix Basic Math Units Basic Equations Sections Search eBooks Dynamics Statics Mechanics Fluids Thermodynamics Math Author(s): Kurt Gramoll ©Kurt Gramoll

 DYNAMICS - EXAMPLE Projectile and Box Example A 0.15 kg projectile hits a 1.5 kg box that is initially at rest. The projectile imbeds itself in the box, and then they both slide forward and up a slope. How far up the slope do they go? Assume a smooth transition between the slopes and no friction. Solution Motion of Projectile and Box This is a two step problem. The velocity of the combined projectile and box needs to be determined before the distance s can be calculated. Velocity of box and projectile after impact      mboxvbox + mprojvproj = (mbox + mproj) v2      1.5 (0) + 0.15 (25) = (1.5 + 0.15) v2      v2 = 2.273 m/s The distance the box travels up the slope can be determined using either line motion or energy concepts. Using the conservation of energy (kinetic and gravity), gives      Vk2 + Tg2 = Vk3 + Tg3      0.5mv22 + mgh2 = 0.5mv32 + mgh3      0.5(1.5 + 0.15)(2.273)2 + 0            = 0 + s sin15 (9.81)(1.5 + 0.15) s = 1.017 m

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