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2103-212 Dynamics, NAV, 2012 1

5-5 Instantaneous Center of Zero

Velocity

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1. Introduction

5.5 ICZV

For a moving body, at each instant of time, there is always a point with zero velocity.

This point is called the Instantaneous Center of Zero Velocity or ICZV.

Examples:

A rotating link A train on a circular track

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2103-212 Dynamics, NAV, 2012 3

1. Introduction

NOTES:

ICZV is a point on the body that, at that instant, has zero velocity.

ICZV may be on the body or anywhere else

ICZV may be located at infinity.

ICZV will usually not be the same point on the body all the time

ICZV can be used to calculate velocity only.

The body will appear to rotate about ICZV.

Acceleration of the ICZV will not be zero.

5.5 ICZV

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2. Locating ICZV

1. Fixed Axis Rotation

5.5 ICZV

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2103-212 Dynamics, NAV, 2012 5

2. Locating ICZV

2. General Plane Motion

5.5 ICZV

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2. Locating ICZV

2. General Plane Motion

5.5 ICZV

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2103-212 Dynamics, NAV, 2012 7

Example 1: Find the ICZV’s

a)

b)

c) d)

5.5 ICZV

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Example 2: Rolling Wheel

5.5 ICZV

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2103-212 Dynamics, NAV, 2012 9

Example 3: Four-Bar Linkage

5.5 ICZV

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