King Fahd University of Petroleum & Minerals. Mechanical Engineering Dynamics ME 201 BY Dr. Meyassar N. Al-Haddad Lecture # 6. Objective. To investigate particle motion along a curved path “ Curvilinear Motion ” using three coordinate systems Rectangular Components

ByObjective. To investigate particle motion along a curved path “ Curvilinear Motion ” using three coordinate systems Rectangular Components Position vector r = x i + y j + z k Velocity v = v x i + v y j + v z k (tangent to path)

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EQUATIONS OF MOTION: CYLINDRICAL COORDINATES. Today’s Objectives: Students will be able to: Analyze the kinetics of a particle using cylindrical coordinates . In-Class Activities: • Equations of Motion Using Cylindrical Coordinates • Angle Between Radial and Tangential Directions.

EQUATIONS OF MOTION: CYLINDRICAL COORDINATES. Today’s Objectives: Students will be able to: Analyze the kinetics of a particle using cylindrical coordinates. In-Class Activities: • Check Homework • Reading Quiz • Applications • Equations of Motion Using Cylindrical Coordinates

z. Cylindrical Coordinates. But, first, let’s go back to 2D. y. x. y. Cartesian Coordinates – 2D. x. (x,y). y. x. x= distance from +y axis. y= distance from +x axis. y. Polar Coordinates. (r, θ ). r. r= distance from origin. θ = angle from + x axis. θ. x. y.

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: • Check homework, if any • Reading quiz • Applications

Cylindrical and Spherical Coordinates. Representation and Conversions. . Representing 3D points in Cylindrical Coordinates. . Recall polar representations in the plane. r. . Representing 3D points in Cylindrical Coordinates. .

Cylindrical and Spherical Coordinates. Azmal Thahireen John Thai. First, a review of Polar Coordinates:. Angles are measured from the positive x axis. Points are represented by a radius and an angle. radius. angle. ( r , ). To plot the point. First find the angle.

Math 200 Week 8 - Friday. Spherical and cylindrical coordinates. Math 200. Be able to convert between the three different coordinate systems in 3-Space: rectangular, cylindrical, spherical Develop a sense of which surfaces are best represented by which coordinate systems. Goals.

Cylindrical and Spherical Coordinates. In plane geometry the polar coordinate system is used to give a convenient description of certain curves and regions. Figure 1 enables us to recall the connection between polar and Cartesian coordinates. If the point P has Cartesian coordinates (x, y) and

Cylindrical and Spherical Coordinates. Written by Dr. Julia Arnold Associate Professor of Mathematics Tidewater Community College, Norfolk Campus, Norfolk, VA With Assistance from a VCCS LearningWare Grant. In this lesson you will learn about cylindrical and spherical coordinates

Cylindrical and Spherical Coordinates. Representation and Conversions. . Representing 3D points in Cylindrical Coordinates. Recall polar representations in the plane. r. . Representing 3D points in Cylindrical Coordinates.