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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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Position coordinate “ cord equation ” Example

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Example 12.22 Establish a relation y = f(x) Cord =30 m

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