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King Fahd University of Petroleum & Minerals

King Fahd University of Petroleum & Minerals. Mechanical Engineering Dynamics ME 201 BY Dr. Meyassar N. Al-Haddad Lecture # 18. Objective. Newton First Law To study the conservation of linear momentum for particles. Principle of Linear Impulse and Momentum.

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King Fahd University of Petroleum & Minerals

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  1. King Fahd University of Petroleum & Minerals Mechanical Engineering Dynamics ME 201 BY Dr. Meyassar N. Al-Haddad Lecture # 18

  2. Objective • Newton First Law • To study the conservation of linear momentum for particles

  3. Principle of Linear Impulse and Momentum

  4. Principle of Linear Impulse and Momentum for a system of Particles

  5. 0 Conservation of Linear Momentum for a system of Particles Conservation of linear momentum equation

  6. Conservation of linear momentum equation • Applied when particles collide or interact • Identify the forces and determine in what direction linear momentum is conserved • Internal impulse will be cancelled • “Non impulsive force” : small forces takes place in a short period which can be ignored. i.e. weigh of a ball • “impulsive force” : very large force acting for a very short period of time and produce a significant change in momentum. i.e. explosion, accident

  7. Impulse & Average Force Impulse Impulse

  8. Free Body Diagram • Considered the two objects as single system • By inspection, establish the direction of the momentum is conserved • Cancel the internal coupled force • Assume the two object move with v2 in positive direction if coupled • Apply the conservation of linear momentum • To assess the average force, isolate one object and apply the coupling force as external force. Then apply • Apply the principle of impulse and momentum

  9. Example 15-4 mA=15 Mg mB=12 Mg Couple together V2=? After coupling Favg = ? In 0.8 s

  10. Example 15-5 WC =1200-Ib Wp = 8-Ib vp=1500ft/s t = 0.03 s. vc2= ? Favg= ? Favg

  11. Example 15-7 mp = 800 kg mH = 300 kg From rest Impulse = ? Couple together Impulse Impulse =

  12. Thank you

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