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

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

View Full Document Right Arrow Icon
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?
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online