prelim-old - Physics 318: First prelim exam Thursday,...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Physics 318: First prelim exam Thursday, February 22, 2007 Duration: 90 minutes Instructions: Answer all questions. This is a closed book exam. There are 15 points for Q1, 15 for Q2 and 10 for Q3. 1. A pendulum which is exposed to gravity consists of a mass m which is suspended by means of a massless ideal elastic string of unextended length l and spring constant k . The ideal elastic string follows Hookes law like an ideal spring. The string is constrained by a frictionless fixture which still allows the string to extend, as shown in the figure. a. Calculate the kinetic and potential energies of the mass m , using the coordinates r , and indicated in the figure. Find the Lagrangian for this system. b. Find the equations of motion and quote them in the form: m r = . . . m = . . . m = . . . c. For this system there are two conserved quantities, functions of r , , , r , and . Derive expressions for these conserved quantities and explain their physical interpretation. 2.2....
View Full Document

This test prep was uploaded on 02/24/2008 for the course PHYS 3318 taught by Professor Flanagan during the Spring '08 term at Cornell University (Engineering School).

Page1 / 2

prelim-old - Physics 318: First prelim exam Thursday,...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online