SOLUTION MANUAL FOR KINEMATICS AND DYNAMICS OF MECHANICAL SYSTEMS 3RD EDITION BY RUSSELL LATEST UPDATE

SOLUTION MANUAL FOR KINEMATICS
AND DYNAMICS OF MECHANICAL
SYSTEMS 3RD EDITION BY RUSSELL
LATEST UPDATE




SOLUTION MANUAL 2026/2027

, CONTENTS

Preface …………………………………………...……………………………………….. 1

Chapter 2 Mathematical Concepts in Kinematics ……………………………………….. 2

Chapter 3 Fundamental Concepts in Kinematics ……………………………………….. 8

Chapter 4 Kinematic Analysis of Planar Mechanisms..................................................................19

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

, 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 where V j changes length) in 2-D complex space

Problem 2.1 Solution:

Taking the clockwise sum of the vector loop in Figure P.2.1 produces the equation

V1ei1 +V2 ei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. Consider that vector V j

always lies along the real axis and vector V3 is always perpendicular to the real axis.

, Figure P.2.2 Vector loop (4 vectors where V j changes length) in 2-D complex space

Problem 2.2 Solution:

Taking the clockwise sum of the vector loop in Figure P.2.2 produces the equation

V1ei1 +V2 ei2 − V3 − 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 − V3 = 0

Problem 2.3 Statement:

Calculate the first derivative of the vector loop equation solution from Problem 2.2. Consider

only angles 1 , 2 and vector V j from Problem 2 to be time-dependent.

Problem 2.3 Solution:

Differentiating the vector loop equation solution from Problem 2.2 produces the equation

i1V1ei1 + i2V2ei2 − V j = 0.

When expanded and separated into real and imaginary terms, the vector loop equation becomes

−1V1 sin 1 −  2V2 sin  2 − V j = 0
.
1V1 cos 1 +  2V2 cos 2 = 0