MCE222_LN_Sec_13-6 - EQUATIONS OF MOTION CYLINDRICAL...

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EQUATIONS OF MOTION: CYLINDRICAL COORDINATES (Section 13.6) Today’s Objectives: Students will be able to analyze the kinetics of a particle using cylindrical coordinates. In-Class Activities: homework due on wed
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EQUATIONS OF MOTION: CYLINDRICAL COORDINATES This approach to solving problems has some external similarity to the normal & tangential method just studied. However, the path may be more complex or the problem may have other attributes that make it desirable to use cylindrical coordinates. Equilibrium equations or “Equations of Motion” in cylindrical coordinates (using r, θ , and z coordinates) may be expressed in scalar form as: F r = ma r = m(r – r θ 2 ) F θ = ma θ = m(r θ + 2r θ ) F z = ma z = mz . . . .. .. ..
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EQUATIONS OF MOTION (continued) Note that a fixed coordinate system is used, not a “body- centered” system as used in the n – t approach. If the particle is constrained to move only in the r – θ plane (i.e., the z coordinate is constant), then only the first two equations are used (as shown below). The coordinate
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This note was uploaded on 04/25/2009 for the course 222 AND 34 dynamics a taught by Professor Ibrahim during the Spring '09 term at American University of Sharjah.

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MCE222_LN_Sec_13-6 - EQUATIONS OF MOTION CYLINDRICAL...

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