P340_Exam_1_03

# P340_Exam_1_03 - Physics 340 Fall 2003 25 points each Exam...

This preview shows page 1. Sign up to view the full content.

Physics 340 Fall 2003 Exam 1 25 points each 1. A simple harmonic oscillator has period T = 1 second. Its displacement is given by sin ( ) x at wf =+ If the oscillation started at t = 0 from initial position x 0 = 0.5 m with initial velocity v 0 = π m/s, find φ and a. 2. A particle of mass m slides freely on a frictionless parabolic track under the influence of gravity. Use g =10m/s 2 . The shape of the track is 2 ( ) 0. 1 meters y xx = a. What is the position of stable equilibrium? b. The mass is displaced a small distance from equilibrium and let go. Show that the motion is simple harmonic oscillation and find the angular frequency. c. Say the track actually has frictional forces given by 2 Newtons 3 0 x y m dx F dt F =- = In this case what is the angular frequency of the damped motion?
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 12/08/2011 for the course PHYSICS 340 taught by Professor Clarke during the Fall '08 term at University of Michigan.

Ask a homework question - tutors are online