文档介绍：理论力学 Theoretical Mechanics
运动学第七章点的合成运动
力学教研室
Composite Motion of a Point PART C Theorem of Composition of Acceleration on Translating Convected Motion
Theorem position of Acceleration on Translation convected motion
Deduction
Deduction 1
Static reference frame:Oxy
Dynamic reference frame:O’x’y’
Moving point: M
Relative Motion Equations:
Theorem position of Acceleration on Translation convected motion
Deduction
Deduction 2
Convected Motion is Translation, so,
Project the equation to curvilinear coordinates system:
Theorem position of Acceleration on Translation convected motion
Diagram of acceleration
Diagram of acceleration-sp1 question
Sample 1
Known: a pute: vBC aBC
Theorem position of Acceleration on Translation convected motion
Diagram of acceleration
Diagram of acceleration-sp1 Diagram
Diagram of Sample 1 Chose A as MP and BC as DF
Diagram of Velocity
Diagram of Acceleration
Theorem position of Acceleration on Translation convected motion
Diagram of acceleration
Diagram of acceleration-sp2 question
Sample 2
Known: v pute: vBC aBC
Theorem position of Acceleration on Translation convected motion
Diagram of acceleration
Diagram of acceleration-sp2 diagram
Diagram of Sample 2 Chose C as MP and OA as DF
Diagram of Velocity
Diagram of Acceleration
Project to axis n then art can be neglect
Theorem position of Acceleration on Translation convected motion
Diagram of acceleration
Diagram of acceleration-sp3 question
Sample 3
Known: pute: w0
Theorem position of Acceleration on Translation convected motion
Diagram of acceleration
Diagram of acceleration-sp3 diagram
Diagram of Sample 3 Chose A as MP and BC as DF
Diagram of Velocity
Diagram of Acceleration
How to setup the coordinates system? Why?
Theorem position of Acceleration on Translation convected motion
Full Sample Problem
Full sample problem
Block A moves rightward with vA= and aA=, the length of AB equals , when the angle equals 60o, w=1 rad/s