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 7

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From one particle to two particles
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12.9 Absolute Dependent Motion Analysis of Two
Particles

• The motion of one particle will depend on the
  corresponding motion of another particle
• Inextensible cords connection

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Position

• How to establish the position coordinate
• Reference from a fixed point (O) or fixed datum.
• Measures along each inclined plane in the
  direction of motion
• Has positive sense from C to A and from D to B.
• Establish a total cord length equation

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Velocity

• Velocity is the time derivative of the position
• From the total cord length equation
• Velocity

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Acceleration

• Acceleration is the time derivative of the
  velocity
• From the velocity equation
• Acceleration

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Example

• Position coordinate
• Velocity
• Acceleration

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Example

• Position coordinate
• Velocity
• Acceleration
• Positive signs, why?

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Example

• Position coordinate cord equation
• Velocity
• Acceleration

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Example

• Position coordinate cord equation
• Velocity
• Acceleration

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Example
Position coordinate cord equation
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Example 12.22

• Establish a relation y f(x)

Cord 30 m