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King Fahd University of Petroleum &amp; 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

Mechanical Engineering

Dynamics ME 201

BY

Lecture # 18

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

0

Conservation of Linear Momentum for a system of Particles

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
• 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

Example 15-4

mA=15 Mg

mB=12 Mg

Couple together

V2=? After coupling

Favg = ? In 0.8 s

Example 15-5

WC =1200-Ib

Wp = 8-Ib

vp=1500ft/s

t = 0.03 s.

vc2= ?

Favg= ?

Favg

Example 15-7

mp = 800 kg

mH = 300 kg

From rest

Impulse = ?

Couple together

Impulse

Impulse =