1 / 11

Simple Harmonic Motion

Simple Harmonic Motion. Mass on a compressible spring. Vertical mass-on-spring. Treat the equilibrium length of the spring as if it is the unstretched length of the spring. Then, you can neglect the gravitational force on the object. x(t) for SHO. Frequency and Stiffness.

stahlman
Download Presentation

Simple Harmonic Motion

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Simple Harmonic Motion Mass on a compressible spring.

  2. Vertical mass-on-spring Treat the equilibrium length of the spring as if it is the unstretched length of the spring. Then, you can neglect the gravitational force on the object.

  3. x(t) for SHO

  4. Frequency and Stiffness Which has a greater frequency, a spring of stiffness k or a spring of stiffness 2k?

  5. Frequency and Mass Which has a greater frequency, a spring and object of mass m or a spring and object of mass 2m?

  6. Derivation of frequency of a mass-spring system -- solving Newton’s second law

  7. Poll If you double the stiffness of the spring, by what factor does the frequency change? 2 1/2 sqrt(2) 1/sqrt(2) 4

  8. Poll If you double the mass of the object, by what factor does the frequency change? 2 1/2 sqrt(2) 1/sqrt(2) 4

  9. Poll In one experiment you pull back the object a distance A and release it from rest. In a second experiment, you pull back the object a distance 2A and release it from rest. The frequency of the oscillation in the second experiment is Twice the frequency in the first experiment Half the frequency in the first experiment The same as in the first experiment

More Related