dynamics of mechanical systems mst @ msu 2006 jeff rhoads and terry ballinger

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

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

DynamicsDynamicsofof

Mechanical SystemsMechanical Systems

MST @ MSU

2006

Jeff Rhoads and Terry BallingerJeff Rhoads and Terry Ballinger

Page 2: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

OutlineOutline

What is Dynamics?What is Dynamics?KinematicsKinematicsKineticsKineticsNewton’s Second LawNewton’s Second LawToday’s ActivityToday’s Activity

Page 3: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

What is Dynamics?What is Dynamics?

Page 4: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

What is Dynamics?What is Dynamics?

Scientific DefinitionScientific Definition

A scientific discipline that deals with A scientific discipline that deals with systems undergoing changeundergoing change

Page 5: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

What is Dynamics?What is Dynamics?

Scientific DefinitionScientific Definition

Engineering DefinitionEngineering Definition

A scientific discipline that deals with A scientific discipline that deals with systems undergoing changeundergoing change

Deals with the relationship between Deals with the relationship between forces and and motion of mechanical systems of mechanical systems

Page 6: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

What is Dynamics?What is Dynamics?

Dynamics

Page 7: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

What is Dynamics?What is Dynamics?

Dynamics

Kinematics

Page 8: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

What is Dynamics?What is Dynamics?

Dynamics

Kinematics

The study of The study of motion (mathematical construct)

Page 9: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

What is Dynamics?What is Dynamics?

Dynamics

KineticsKinematics

The study of The study of motion (mathematical construct)

Page 10: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

What is Dynamics?What is Dynamics?

Dynamics

KineticsKinematics

The study of The study of motion (mathematical construct)

Relates Relates forces and and motion (based on physical law)

Page 11: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

KinematicsKinematics

The study of The study of motion

Page 12: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

KinematicsKinematics

The study of The study of motion

Position Velocity Acceleration

Page 13: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

KinematicsKinematics

Position Velocity Acceleration

The study of The study of motion

Spatial Location

Origin

Object

Page 14: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

KinematicsKinematics

Position Velocity Acceleration

The study of The study of motion

Rate of change of position (movement, can see it)

Page 15: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

KinematicsKinematics

Position Velocity Acceleration

The study of The study of motion

Rate of change of velocity (can feel it)

Page 16: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

KineticsKinetics

Relates Relates forces and and motion

Page 17: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

KineticsKinetics

Relates Relates forces and and motion

Newton’s Second Law

Page 18: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

KineticsKinetics

Relates Relates forces and and motion

Newton’s Second Law

Force Mass Acceleration

Page 19: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

KineticsKinetics

Relates Relates forces and and motion

Newton’s Second Law

Force Mass Acceleration

Action

Resistance

Motion

Page 20: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

KineticsKinetics

Relates Relates forces and and motion

Newton’s Second Law

Force Mass Acceleration

Action

Resistance

Motion

F m

a

Page 21: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

Today’s ActivityToday’s Activity

Popsicle Stick Slingshot

ObjectiveCreate a slingshot that will propel a ping pong ball as far as possible.

Page 22: Dynamics of Mechanical Systems MST @ MSU 2006 Jeff Rhoads and Terry Ballinger

Design ConsiderationsDesign 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?