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Dynamics of Mechanical Systems MSU 2006 Jeff Rhoads and Terry Ballinger.

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1 Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

2 Outline What is Dynamics? What is Dynamics? Kinematics Kinematics Kinetics Kinetics Newton’s Second Law Newton’s Second Law Today’s Activity Today’s Activity

3 What is Dynamics?

4 Scientific Definition Scientific Definition A scientific discipline that deals with undergoing change A scientific discipline that deals with systems undergoing change

5 What is Dynamics? Scientific Definition Scientific Definition Engineering Definition Engineering Definition A scientific discipline that deals with undergoing change A scientific discipline that deals with systems undergoing change Deals with the relationship between and of mechanical systems Deals with the relationship between forces and motion of mechanical systems

6 What is Dynamics? Dynamics

7 What is Dynamics? Dynamics Kinematics

8 What is Dynamics? Dynamics Kinematics The study of The study of motion (mathematical construct)

9 What is Dynamics? Dynamics KineticsKinematics The study of The study of motion (mathematical construct)

10 What is Dynamics? Dynamics KineticsKinematics The study of The study of motion (mathematical construct) Relates and Relates forces and motion (based on physical law)

11 Kinematics The study of The study of motion

12 Kinematics Position Velocity Acceleration

13 Kinematics The study of The study of motion Spatial Location Origin Object

14 Kinematics Position Velocity Acceleration The study of The study of motion Rate of change of position (movement, can see it)

15 Kinematics Position Velocity Acceleration The study of The study of motion Rate of change of velocity (can feel it)

16 Kinetics Relates and Relates forces and motion

17 Kinetics Newton’s Second Law

18 Kinetics Relates and Relates forces and motion Newton’s Second Law

19 Kinetics Relates and Relates forces and motion Newton’s Second Law

20 Kinetics Relates and Relates forces and motion Newton’s Second Law

21 Today’s Activity Popsicle Stick Slingshot Objective Create a slingshot that will propel a ping pong ball as far as possible.

22 Design Considerations Convert as much of the rubber band (elastic potential) energy into kinetic energy of the ball. Have a strong and stable enough structure to support the force of the rubber band. What is the best possible way to launch the ball?

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