Practice: A mass-spring system with an angular frequency ω = 8π rad/s oscillates back and forth. (a) Assuming it starts from rest, how much time passes before the mass has a speed of 0 again? (b) How many full cycles does the system complete in 60s?

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Spring Force (Hooke's Law) | 15 mins | 0 completed | Learn |

Intro to Simple Harmonic Motion (Horizontal Springs) | 32 mins | 0 completed | Learn |

Energy in Simple Harmonic Motion | 22 mins | 0 completed | Learn |

Simple Harmonic Motion of Vertical Springs | 19 mins | 0 completed | Learn |

Simple Harmonic Motion of Pendulums | 25 mins | 0 completed | Learn |

Energy in Pendulums | 16 mins | 0 completed | Learn |

Concept #1: Intro to Simple Harmonic Motion

Example #1: Example

Practice: A mass-spring system with an angular frequency ω = 8π rad/s oscillates back and forth. (a) Assuming it starts from rest, how much time passes before the mass has a speed of 0 again? (b) How many full cycles does the system complete in 60s?

Concept #2: Equations of Simple Harmonic Motion

Practice: A 4-kg mass on a spring is released 5 m away from equilibrium position and takes 1.5 s to reach its equilibrium position. (a) Find the spring’s force constant. (b) Find the object’s max speed.

Example #2: Example

Practice: What is the equation for the position of a mass moving on the end of a spring which is stretched 8.8cm from equilibrium and then released from rest, and whose period is 0.66s? What will be the object’s position after 1.4s?

Example #3: Example

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Concept #1: Intro to Simple Harmonic Motion

Example #1: Example

Practice #1: Practice

Concept #2: Equations of Simple Harmonic Motion

Practice #2: Practice

Example #2: Example

Practice #3: Practice

Example #3: Example

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