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6-3 Impulse and Momentum

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2142211 Mechanical Dynamics, NAV 1

6-3 Impulse and

Momentum

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2142211 Mechanical Dynamics, NAV 2

6-3 Impulse and Momentum

1. Introduction

2. Linear Impulse and Momentum

3. Angular Impulse and Momentum

4. Conservation of Momentum

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2142211 Mechanical Dynamics, NAV 3

1. Introduction

Applications:

6-3 Impulse and Momentum

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2142211 Mechanical Dynamics, NAV 4

2. Linear Impulse and Momentum

6-3 Impulse and Momentum

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2142211 Mechanical Dynamics, NAV 5

2. Linear Impulse and Momentum

Notes:

Even when the wheel is rolling without slipping, the friction will have impulse!

However, recall that friction have no work if the wheel is rolling without slipping.

6-3 Impulse and Momentum

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2142211 Mechanical Dynamics, NAV 6

3. Angular Impulse and Momentum

3.1 About G

6-3 Impulse and Momentum

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2142211 Mechanical Dynamics, NAV 7

3. Angular Impulse and Momentum

3.2 About Any Fixed Point

6-3 Impulse and Momentum

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2142211 Mechanical Dynamics, NAV 8

3. Angular Impulse and Momentum

3.3 About the Fixed Axis

6-3 Impulse and Momentum

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2142211 Mechanical Dynamics, NAV 9

4. Conservation of Momentum

6-3 Impulse and Momentum

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2142211 Mechanical Dynamics, NAV 10

Example 1: Rolling Wheel

6-3 Impulse and Momentum

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2142211 Mechanical Dynamics, NAV 11

Example 2:

Each of the two 300-mm rods A has a mass of 1.5 kg and is

hinged at its end to the rotating base B. The 4-kg base has a radius of gyration of 40 mm and is initially rotating with a speed of 300 rev/min. If the rods are

released to fall down to the horizontal positions, calculate the new rotational speed.

6-3 Impulse and Momentum

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