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Copyright Kaplan AEC Educ ation, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential Component of Acceleration Constant Tangential Acceleration Rectilinear Motion Rectangular Cartesian Coordinates Circular Cylindrical Coordinates Circular Path
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Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Dec 29, 2015

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Page 1: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Dynamics Outline Overview

DYNAMICS, p. 193

KINEMATICS OF A PARTICLE, p. 194• Relating Distance, Velocity and the Tangential

Component of Acceleration• Constant Tangential Acceleration• Rectilinear Motion• Rectangular Cartesian Coordinates• Circular Cylindrical Coordinates• Circular Path

Page 2: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Dynamics Outline Overview Continued

RIGID BODY KINEMATICS, p. 203

• The Constraint of Rigidity

• The Angular Velocity Vector

• Instantaneous Center of Zero Velocity

• Accelerations in Rigid Bodies

Page 3: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Dynamics Outline Overview Continued

NEWTON’S LAWS OF MOTION, p. 210

• Applications to a Particle

• Systems of Particles

• Linear Momentum and Center of Mass

• Impulse and Momentum

• Moments of Force and Momentum

Page 4: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Dynamics Outline Overview Continued

WORK AND KINETIC ENERGY, p. 219

• A Single Particle

• Work of a Constant Force

• Distance-Dependent Central Force

Page 5: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Dynamics Outline Overview Continued

KINETICS OF RIGID BODIES, p. 225

• Moment Relationships for Planar Motion

• Work and Kinetic Energy

Page 6: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Kinematics of Particles—1D Motion

Page 7: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution

Page 8: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Kinematics of Particles—1D Motion

Page 9: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution

Page 10: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution (continued)

Page 11: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

2D Motion—Rectangular Cartesian Coordinates

Page 12: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution

Page 13: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

2D Motion—Plane Polar Coordinates

Page 14: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution

Page 15: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Instantaneous Center of Zero Velocity

Page 16: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution

Page 17: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Evaluation of Accelerations

Page 18: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution

Page 19: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution (continued)

Page 20: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution (continued)

Page 21: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Newton’s 2nd Law

Page 22: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution

Page 23: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution (continued)

Page 24: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution (continued)

Page 25: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Newton’s 2nd Law

Page 26: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution

Page 27: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Work & Kinetic Energy

Page 28: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution

Page 29: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Moments of Force & Momentum

Page 30: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution

Page 31: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution (continued)

Page 32: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution (continued)

Page 33: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Work & Kinetic Energy

Page 34: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution

Page 35: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution

Page 36: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Work & Kinetic Energy

Page 37: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution

Page 38: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution (continued)

Page 39: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Work & Kinetic Energy

Page 40: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution

Page 41: Copyright Kaplan AEC Education, 2005 Dynamics Outline Overview DYNAMICS, p. 193 KINEMATICS OF A PARTICLE, p. 194 Relating Distance, Velocity and the Tangential.

Copyright Kaplan AEC Education, 2005

Solution (continued)