Download 12-1 Simple Harmonic Motion Equilibrium Position Restoring

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Transcript
Simple Harmonic Motion
12-1
• Vibration about an equilibrium position in
which a restoring force is proportional to
the displacement from equilibrium
Simple Harmonic Motion
Equilibrium Position
Restoring Force
• Force that causes simple
harmonic motion
• Proportional to the
displacement
• Maximum displacement
•
•
•
•
– Acceleration is maximum
– Velocity is zero
Position where net force is equal to zero
Natural resting place
Velocity is at maximum
Acceleration is zero
Felastic = -kx
†
Simple Pendulum
Simple Harmonic Motion
• Restoring force is the bob’s
weight
• Weight is broken into
perpendicular components
• The net force is the
gravitational force in the
x-direction
1
Energy Changes in SHM
• Potential energy is proportional to displacement
• Kinetic energy is inversely proportional to
displacement
2