Physics218Assign1 - ASSIGNMENT 1 Physics 218 Reading Pain...

Info icon This preview shows pages 1–2. Sign up to view the full content.

ASSIGNMENT 1 Physics 218 Due Feb. 2 Spring 2008 Reading: Pain Ch 1-4. 1. Consider the following complex solution to a simple harmonic oscillator problem for a pen- dulum, z ( t ) = 12 cm exp[ i (12 π/st + 3)] exp[ - (0 . 25 /s ) t ], where cm and s are centimeters and seconds, respectively, and t is time. (a) Based on the equation, is this pendulum damped? Driven? Justify your answer. (b) Draw by hand a graph of x ( t ) vs t for 0 < t < 5 s . (c) Which of the list of variables r, s, ω, ω 0 , ˆ ω, γ, F 0 , α and φ can you extract from the equation above, and what are their values? Include units. (d) What is the period of oscillation of the pendulum (in seconds)? Is there any other characteristic time in the problem? 2. Show that one can ignore gravity when one studies the harmonic motion of a mass hanging on a spring. To answer the question, consider a mass m hanging on a spring with negligible mass and spring constant k . Let the length of the spring without the mass be 0 and the length of the spring with the mass hanging on it at rest be . Let y ( t ) be the displacement of the end of the spring from the equilibrium position when the mass is oscillating. m o l l (a) Draw a free body diagram of the mass, including the spring force and the force of gravity on the mass. (b) Utilize this diagram to determine the length of the spring when the mass is hanging quietly in equilibrium.
Image of page 1

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

Image of page 2
This is the end of the preview. Sign up to access the rest of the document.
  • Spring '08
  • PETERWITTICH

{[ 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