INTRODUCTION

The equations of motion for a rotating mass are shown in Figure 5.1 Basic properties of rotation. Given the angular position, the angular velocity can be found by differentiating once, the angular acceleration can be found by differentiating again. The angular acceleration can be integrated to find the angular velocity, the angular velocity can be integrated to find the angular position. The angular acceleration is proportional to an applied torque, but inversely proportional to the mass moment of inertia.

 

Figure 5.1 Basic properties of rotation

 

 

Figure 5.2 Drill problem: Find the position with the given conditions

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