Engineering Basic Mechanics II Dynamics is divided into 10 chapters, including kinematics of a particle; fundamental kinematics of a rigid body; complex motion of particle (or point); planar motion of a rigid body; dynamics of particle; theorem of momentum; theorem of moment of momentum; theorem of kinetic energy; d’Alembert principle and virtual displacement principle
- 目录
- 前辅文
- 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 parallelaxis 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
- Problems
- Chapter 9 d′Alembert Principle and Virtual Displacement Principle
- 9.1 d′Alembert principle for particle
- 9.2 d′Alembert principle for systems of mass points
- 9.3 Reduction of inertial force system
- 9.4 Constraint,virtual displacement,virtual work
- 9.5 Principle of virtual displacement
- Problems
- Chapter 10 Vibrations
- 10.1 Undamped free vibration
- 10.2 Undamped forced vibration
- 10.3 Viscous damped free vibration
- 10.4 Viscous damped forced vibration
- Problems
- References