Ch. 9: Plane Kinematics of Rigid Bodies 473
9.0 Outline 473
Introduction 474
Rotation 478
Absolute Motion 486
Relative Velocity 508
Instantaneous Center of Zero Velocity 531
Relative Acceleration 544
Motion Relative to Rotating Axes 566
9.0 Outline
, Ch. 9: Plane Kinematics of Rigid Bodies 474
9.1 Introduction
Kinematics of rigid bodies involves both linear and
angular quantities.
Usage
1. In designing the machines to perform the desired
motion.
2. To determine the motion resulting from the applied force.
A rigid body A system of particles for which the distance
between the particles remain unchanged. Thus there
will be no change in the position vector of any particle
measured from the body-fixed coordinate system.
9.1 Introduction
,Ch. 9: Plane Kinematics of Rigid Bodies 475
9.1 Introduction
, Ch. 9: Plane Kinematics of Rigid Bodies 476
Plane motion of a rigid body all parts of the body
move in parallel planes. The body then can be treated
as a thin slab with motion confined to the plane of motion;
plane that contains the mass center.
Translation motion in which every line in the body
remains parallel to its original position at all time. That is
there is no rotation of any line in the body. The motion
of the body is completely specified by the motion of
any point in the body, since all points have same motion.
Rectilinear translation all points in the body move in
parallel straight lines of the same distance
Curvilinear translation all points move on parallel curves
of the same distance
9.1 Introduction
9.0 Outline 473
Introduction 474
Rotation 478
Absolute Motion 486
Relative Velocity 508
Instantaneous Center of Zero Velocity 531
Relative Acceleration 544
Motion Relative to Rotating Axes 566
9.0 Outline
, Ch. 9: Plane Kinematics of Rigid Bodies 474
9.1 Introduction
Kinematics of rigid bodies involves both linear and
angular quantities.
Usage
1. In designing the machines to perform the desired
motion.
2. To determine the motion resulting from the applied force.
A rigid body A system of particles for which the distance
between the particles remain unchanged. Thus there
will be no change in the position vector of any particle
measured from the body-fixed coordinate system.
9.1 Introduction
,Ch. 9: Plane Kinematics of Rigid Bodies 475
9.1 Introduction
, Ch. 9: Plane Kinematics of Rigid Bodies 476
Plane motion of a rigid body all parts of the body
move in parallel planes. The body then can be treated
as a thin slab with motion confined to the plane of motion;
plane that contains the mass center.
Translation motion in which every line in the body
remains parallel to its original position at all time. That is
there is no rotation of any line in the body. The motion
of the body is completely specified by the motion of
any point in the body, since all points have same motion.
Rectilinear translation all points in the body move in
parallel straight lines of the same distance
Curvilinear translation all points move on parallel curves
of the same distance
9.1 Introduction
