CHAPTER
11
VECTOR MECHANICS FOR ENGINEERS:
STATICS
Ferdinand P. Beer
E. Russell Johnston, Jr.
Kinematics of Particles
Lecture Notes:
J. Walt Oler
Texas Tech University
© 2010 The McGraw-Hill Companies, Inc. All rights reserved.
Ninth
Edition
Vector Mechanics for Engineers: Statics
Contents
Introduction
Rectilinear Motion: Position,
Velocity & Acceleration
Determination of the Motion of a
Particle
Sample Problem 11.2
Sample Problem 11.3
Uniform Rectilinear-Motion
Uniformly Accelerated RectilinearMotion
Motion of Several Particles:
Relative Motion
Sample Problem 11.4
Motion of Several Particles:
Dependent Motion
Sample Problem 11.5
Graphical Solution of RectilinearMotion Problems
Other Graphical Methods
Curvilinear Motion: Position, Velocity
& Acceleration
Derivatives of Vector Functions
Rectangular Components of Velocity and Acceleration
Motion Relative to a Frame in
Translation
Tangential and Normal Components
Radial and Transverse Components
Sample Problem 11.10
Sample Problem 11.12
© 2010 The McGraw-Hill Companies, Inc. All rights reserved.
11 - 2
Ninth
Edition
Vector Mechanics for Engineers: Statics
Introduction
• Dynamics includes:
- Kinematics: study of the geometry of motion. Kinematics is used to relate displacement, velocity, acceleration, and time without reference to the cause of motion.
- Kinetics: study of the relations existing between the forces acting on a body, the mass of the body, and the motion of the body. Kinetics is used to predict the motion caused by given forces or to determine the forces required to produce a given motion.
• Rectilinear motion: position, velocity, and acceleration of a particle as it moves along a straight line.
• Curvilinear motion: position, velocity, and acceleration of a particle as it moves along a curved line in two or three dimensions.
© 2010 The McGraw-Hill Companies, Inc. All rights reserved.
11 - 3
Ninth
Edition
Vector Mechanics for Engineers: Statics
Rectilinear Motion: