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5-4 Relative Acceleration

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2142211 Mechanical Dynamics NAV 1

5-4 Relative

Acceleration

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1. Introduction

5.4 Relative Acceleration

„ We will apply concepts on relative motion from kinematics of a particle to a rigid body.

where A and B are two points on the rigid body

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2142211 Mechanical Dynamics NAV 3

2. Relative Acceleration due to Rotation

5.4 Relative Acceleration

„ Acceleration of A equals to acc. of B plus the acc. of A relative to B

„ A general motion can be thought of a two separate motion:

… Translating with acc. of point B

… Rotation of point A about point B

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5.4 Relative Acceleration

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2142211 Mechanical Dynamics NAV 5

Example 1: Rolling Wheel

5.4 Relative Acceleration

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Example 2:

5.4 Relative Acceleration

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2142211 Mechanical Dynamics NAV 7

Example 3: Rolling Spool

Ans: 0.18, 5.79 m/s2

5.4 Relative Acceleration

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