Chapter 13 notes - Chapter 13 Vibrations and Waves Hooke's...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter 13 Vibrations and Waves Hooke’s Law F s = - k x F s is the spring force k is the spring constant It is a measure of the stiffness of the spring A large k indicates a stiff spring and a small k indicates a soft spring x is the displacement of the object from its equilibrium position x = 0 at the equilibrium position The negative sign indicates that the force is always directed opposite to the displacement Hooke’s Law Force The force always acts toward the equilibrium position It is called the restoring force The direction of the restoring force is such that the object is being either pushed or pulled toward the equilibrium position Hooke’s Law Applied to a Spring – Mass System Motion of the Spring-Mass System Assume the object is initially pulled to a distance A and released from rest As the object moves toward the equilibrium position, F and a decrease, but v increases At x = 0, F and a are zero, but v is a maximum The object’s momentum causes it to overshoot the equilibrium position Motion of the Spring-Mass System, cont The force and acceleration start to increase in the opposite direction and velocity decreases The motion momentarily comes to a stop at x = - A It then accelerates back toward the equilibrium position The motion continues indefinitely Simple Harmonic Motion Motion that occurs when the net force along the direction of motion obeys Hooke’s Law The force is proportional to the displacement and always directed toward the equilibrium position The motion of a spring mass system is an example of Simple Harmonic Motion Simple Harmonic Motion, cont. Not all periodic motion over the same path can be considered Simple Harmonic motion To be Simple Harmonic motion, the force needs to obey Hooke’s Law Amplitude Amplitude, A
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
The amplitude is the maximum position of the object relative to the equilibrium position In the absence of friction, an object in simple harmonic motion will oscillate between the positions x = ±A Period and Frequency
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern