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Chapter 3 Kinetics of Particles

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(1)

Chapter 3

Kinetics of Particles

(2)

3-3 Impulse and

Momentum

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1. Linear Impulse/Momentum

Introduction

Definitions

Impulse-Momentum Equation

Conservation of Linear Momentum

2. Angular Impulse/Momentum

Definitions

Rate of Change of Angular Momentum

Angular Impulse-Momentum Principle

Plane Motion Applications

Conservation of Angular Momentum

3-3. Impulse and Momentum

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3. Impact

Direct Central Impact

Coefficient of Restitution

Energy Loss

Oblique Central Impact

3-3. Impulse and Momentum

(5)

3-3. Impulse and Momentum

1.1 Introduction

Work-Energy

Impulse- Momentum

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3-3. Impulse and Momentum

1.2 Definitions

The resultant force on a particle equals to its time rate of change of linear momentum.

Unit of linear momentum (SI), kg·m/s or N·s

In components form, e.g.

This is a VECTOR

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3-3. Impulse and Momentum

1.3 Linear Impulse-Momentum Equation

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3-3. Impulse and Momentum

1.4 Conservation of Linear Momentum Equation

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Example 1: Sliding block

Ans: 1.823 m/s

3-3. Impulse and Momentum

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Example 2: Truck on a barge

3-3. Impulse and Momentum

Ans: 0.1935 m/s

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3-3. Impulse and Momentum

2. Angular Impulse and Momentum 2.1 Definitions

(12)

3-3. Impulse and Momentum

2.1 Definitions

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3-3. Impulse and Momentum

2.2 Rate of Change of Angular Momentum

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3-3. Impulse and Momentum

2.2 Rate of Change of Angular Momentum

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3-3. Impulse and Momentum

2.3 Angular Impulse-Momentum Principle

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3-3. Impulse and Momentum

2.5 Conservation of Angular Momentum

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Example 3: Rotating spheres and rod

Ans: 5v/3L

3-3. Impulse and Momentum

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Example 4: Rotating spheres and rod

3-3. Impulse and Momentum

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Example 5: Rotating spheres and rod

3-3. Impulse and Momentum

Referensi

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