Chapter 10 Rotation Chapter 10 Rotation 10 1

Chapter 10 Rotation 第十章 轉動

Chapter 10 Rotation 10 -1 What is Physics? 10 -2 The Rotational Variables 10 -3 Are Angular Quantities Vectors? 10 -4 Rotation with Constant Angular Acceleration 10 -5 Relating the Linear and Angular Variables 10 -6 Kinetic Energy of Rotation 10 -7 Calculating the Rotational Inertia 10 -8 Torque 10 -9 Newton’s Second Law for Rotation 10 -10 Work and Rotational Kinetic Energy

10 -1 What is Physics? • Motion – Translation 平移 – Rotation 轉動 • Torque 力矩 • Rotational inertia 轉動慣量

10 -2 The Rotational Variables • • • rigid body 剛體 fixed axis 固定軸 axis of rotation 轉軸 rotation axis 轉軸 pure rotation (angular motion) pure translation (linear motion)

Rotational Variables • Angular position 角位置 – reference line – radian (rad) 弳、弧度 – revolution (rev) 繞轉 – degree 度 • Angular displacement 角位移 • Angular velocity 角速度 • Angular acceleration 角加速度

Sample Problem

10 -3 Are Angular Quantities Vectors? • Right-hand rule • Angular displacements (unless they are very small) cannot be treated as vectors.

10 -4 Rotation with Constant Angular Acceleration • Constant Angular Acceleration 等角加速度

Sample Problem

10 -5 Relating the Linear and Angular Variables

Sample Problem

10 -6 Kinetic Energy of Rotation • Rotational inertia (moment of inertia) 轉動慣量

10 -7 Calculating the Rotational Inertia • Parallel-Axis Theorem 平行軸定理

Sample Problem

Sample Problem

Sample Problem

10 -8 Torque • • • Torque 力矩、轉矩 radial component 徑向分量 tangential component 切向分量 Line of action 施力線、作用線 Moment arm 力臂、矩臂

10 -9 Newton’s Second Law for Rotation

Sample Problem

10 -10 Work and Rotational Kinetic Energy