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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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slide1

King Fahd University of Petroleum & Minerals

Mechanical Engineering

Dynamics ME 201

BY

Dr. Meyassar N. Al-Haddad

Lecture # 18

objective
Objective
  • Newton First Law
  • To study the conservation of linear momentum for particles
slide5

0

Conservation of Linear Momentum for a system of Particles

Conservation of linear momentum equation

conservation of linear momentum equation
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
free body diagram
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
slide9

Example 15-4

mA=15 Mg

mB=12 Mg

Couple together

V2=? After coupling

Favg = ? In 0.8 s

slide10

Example 15-5

WC =1200-Ib

Wp = 8-Ib

vp=1500ft/s

t = 0.03 s.

vc2= ?

Favg= ?

Favg

slide11

Example 15-7

mp = 800 kg

mH = 300 kg

From rest

Impulse = ?

Couple together

Impulse

Impulse =