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King Fahd University of Petroleum

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King Fahd University of Petroleum & Minerals Mechanical Engineering Dynamics ME 201 BY Dr. Meyassar N. Al-Haddad Lecture # 39 Planar Kinetics of a Rigid Body: Impulse ... – PowerPoint PPT presentation

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Title: King Fahd University of Petroleum


1
King Fahd University of Petroleum Minerals
  • Mechanical Engineering
  • Dynamics ME 201
  • BY
  • Dr. Meyassar N. Al-Haddad
  • Lecture 39

2
Planar Kinetics of a Rigid Body Impulse and
Momentum
  • Objective
  • To develop formulations for the linear and
    angular momentum of a body
  • To apply the principles of linear and angular
    impulse and momentum to solve rigid-body planar
    kinetic problems that involve force, time, and
    velocity.

3
Newtons Second Law
Principle of linear impulse and momentum equation
4
Linear Momentum
  • Measure of impact effect
  • Compare
  • bullets with small mass and high velocity
  • Ship with huge mass and slow velocity
  • L is a vector -- points in same direction
    as v
  • Unit kg.m/s or slug.ft/s

5
ANGULAR MOMENTUM
  • For a point object the angular momentum is

Units - kg.m2/s or sl.ft2/s It is a vector. Here
the vector is pointing toward you. Using
right-hand rule
6
Angular Impulse and Momentum Principles
7
Moment of Inertia
  • This mass analog is called the
  • moment of inertia, I, of the object
  • r moment arm
  • SI units are kg m2

8
Angular Momentum
9
Angular Momentum
  • Measure of Rotational effect
  • H is a vector quantity in the direction of w
  • Unit kg.m2/s or slug.ft2/s

10
Translation
Rotation About a Fixed Axis
General Plane Motion
11
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12
Example 19.1
13
Example 19.1b
14
Principle of Impulse and Momentum
  • Principle of Linear Impulse and Momentum

Principle of Angular Impulse and Momentum
15
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16
Example 19-2
17
Example 19-2
18
Thank You
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