All 11 Chapters Covered
SOLUTIONS
, CONTENTS
Preface …………………………………………...……………………………………….. 1
Chapter 2 Mathematical Concepts in Kinematics ………………………………………..
2 Chapter 3 Fundamental Concepts in Kinematics ………………………………………..
8 Chapter 4 Kinematic Analysis of Planar Mechanisms
.............................................................................................................................. 1
9
Chapter 5 Dimensional Synthesis .......................................................................... 81
Chapter 6 Static Force Analysis of Planar Mechanisms ..........................................159
Chapter 7 Dynamic Force Analysis of Planar Mechanisms .....................................210
Chapter 8 Design & Kinematic Analysis of Gears ..................................................288
Chapter 9 Design & Kinematic Analysis of Disk Cams ...........................................327
Chapter 10 Kinematic Analysis of Spatial Mechanisms ...........................................364
Chapter 11 Introduction to Robotic Manipulators ...................................................409
, CONTENTS
@
@SSeeisismmicicisisoolalatitoionn
, CHAPTER 2
Problem 2.1 Statement:
Formulate an equation for the vector loop illustrated in Figure P.2.1. Consider that
vector V j
always lies along the real axis.
Figure P.2.1 Vector loop (3 vectors changes length) in 2-D complex space
where V j
Problem 2.1 Solution:
Taking the clockwise sum of the vector loop in Figure P.2.1 produces the equation
V e1i 1
V2ei 2
Vj 0.
When expanded and separated into real and imaginary terms, the vector loop equation
becomes
V1 cos 1 V2 cos 2 Vj 0
.
V1 sin 1 V2 sin 2 0
Problem 2.2 Statement:
Formulate an equation for the vector loop illustrated in Figure P.2.2. Consiḋer that
vector V j
always lies along the real axis anḋ vector V3
@Seismi2cisolation
@Seismicisolation
SOLUTIONS
, CONTENTS
Preface …………………………………………...……………………………………….. 1
Chapter 2 Mathematical Concepts in Kinematics ………………………………………..
2 Chapter 3 Fundamental Concepts in Kinematics ………………………………………..
8 Chapter 4 Kinematic Analysis of Planar Mechanisms
.............................................................................................................................. 1
9
Chapter 5 Dimensional Synthesis .......................................................................... 81
Chapter 6 Static Force Analysis of Planar Mechanisms ..........................................159
Chapter 7 Dynamic Force Analysis of Planar Mechanisms .....................................210
Chapter 8 Design & Kinematic Analysis of Gears ..................................................288
Chapter 9 Design & Kinematic Analysis of Disk Cams ...........................................327
Chapter 10 Kinematic Analysis of Spatial Mechanisms ...........................................364
Chapter 11 Introduction to Robotic Manipulators ...................................................409
, CONTENTS
@
@SSeeisismmicicisisoolalatitoionn
, CHAPTER 2
Problem 2.1 Statement:
Formulate an equation for the vector loop illustrated in Figure P.2.1. Consider that
vector V j
always lies along the real axis.
Figure P.2.1 Vector loop (3 vectors changes length) in 2-D complex space
where V j
Problem 2.1 Solution:
Taking the clockwise sum of the vector loop in Figure P.2.1 produces the equation
V e1i 1
V2ei 2
Vj 0.
When expanded and separated into real and imaginary terms, the vector loop equation
becomes
V1 cos 1 V2 cos 2 Vj 0
.
V1 sin 1 V2 sin 2 0
Problem 2.2 Statement:
Formulate an equation for the vector loop illustrated in Figure P.2.2. Consiḋer that
vector V j
always lies along the real axis anḋ vector V3
@Seismi2cisolation
@Seismicisolation
