Chapter 1 Kinematics of a Particle
1.1 Equation of motion and trajectory of a particle
1.2 Velocity and acceleration of a particle with the vector method
1.3 Velocity and acceleration of a particle with the rectangular coordinate method
1.4 Velocity and acceleration of a particle with the natural method
1.5 Projections of velocity and acceleration of a particle on cylindrical and polar coordinates
1.6 Coordinate transformation
Problems
Chapter 2 Fundamental Kinematics of a Rigid Body
2.1 Translation of a rigid body
2.2 Rotation of a rigid body about a fixed axis, angular velocity vector and angular acceleration vector
2.3 Velocity and acceleration of point on a rotating rigid body
2.4 Transmission ratio of the wheel system
Problems
Chapter 3 Complex Motion of Particle (or Point)
3.1 Concepts of complex motion
3.2 Composition theorem of velocity for point
3.3 Composition theorem of acceleration when the transport motion is translation
3.4 Composition theorem of acceleration when the transport motion is rotation
Problems
Chapter 4 Planar Motion of a Rigid Body
4.1 The basic concept and decomposition of rigid body planar motion
4.2 Velocity of point in a planar motion
4.3 Acceleration of point in a planar motion
Problems
Chapter 5 Dynamics of Particle
5.1 Basic laws of dynamics
5.2 Equations of motion for a particle
5.3 Two types of basic problems in the dynamics of particle
Problems
Chapter 6 Theorem of Momentum
6.1 Momentum of particle and system of particles
6.2 Impulse of force
6.3 Theorem of momentum for particle and system of particles
6.4 The center of mass motion theorem
Problems
Chapter 7 Theorem of Moment of Momentum
7.1 Moment of momentum of a particle and a system of particles
7.2 Moment of inertia of a rigid body and parallel-axis theorem
7.3 Theorem of moment of momentum
7.4 Differential equations for the rotation of a rigid body about a fixed axis
7.5 Theorem of moment of momentum for a system of particles about the center of mass
7.6 Differential equations of plane motion for rigid body
Problems
Chapter 8 Theorem of Kinetic Energy
8.1 Work of a force
8.2 Theorem of kinetic energy for particles
8.3 Theorem of kinetic energy for a system of particles
8.4 Potential field, potential energy, and law of conservation of mechanical energy
8.5 Power, power equation, mechanical efficiency