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Dynamics of Mechanical Systems Jeff Rhoads and Terry Ballinger MST @ MSU 2006 Outline What is Dynamics? Kinematics Kinetics Newton’s Second Law Today’s Activity What is Dynamics? What is Dynamics? Scientific Definition A scientific discipline that deals with systems undergoing change What is Dynamics? Scientific Definition A scientific discipline that deals with systems undergoing change Engineering Definition Deals with the relationship between forces and motion of mechanical systems What is Dynamics? Dynamics What is Dynamics? Dynamics Kinematics What is Dynamics? Dynamics Kinematics The study of motion (mathematical construct) What is Dynamics? Dynamics Kinematics The study of motion (mathematical construct) Kinetics What is Dynamics? Dynamics Kinematics The study of motion (mathematical construct) Kinetics Relates forces and motion (based on physical law) Kinematics The study of motion Kinematics The study of motion Position Velocity Acceleration Kinematics The study of motion Position Velocity Acceleration Spatial Location Origin Object Kinematics The study of motion Position Velocity Acceleration Rate of change of position (movement, can see it) Kinematics The study of motion Position Velocity Acceleration Rate of change of velocity (can feel it) Kinetics Relates forces and motion Kinetics Relates forces and motion Newton’s Second Law Kinetics Relates forces and motion Newton’s Second Law Force Mass Acceleration Kinetics Relates forces and motion Newton’s Second Law Force Mass Acceleration Action Resistance Motion Kinetics Relates forces and motion Newton’s Second Law Force Mass Acceleration Action Resistance F ma Motion Today’s Activity Popsicle Stick Slingshot Objective Create a slingshot that will propel a ping pong ball as far as possible. 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?