301 (F98) Final Exam

301 (F98) Final Exam - Physics 301 (Fall 1998) Final Exam...

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

View Full Document Right Arrow Icon
Physics 301 (Fall 1998) Final Exam (December 14, 1998) Name 1. [25 points total] A pendulum swings in the boxcar of a train as shown. The mass of the bob is m, and the length of the string is b. The train car speeds up to the right with acceleration a. A. [10 points] Find the Lagrangian for the bob. Show your work. B. [15 points] Use Lagrange’s method to find the equation of motion. Show your work. (Hint: You should have one equation for θ .) m b a θ
Background image of page 1

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

View Full DocumentRight Arrow Icon
[30 points total] A thin plate, having radius R and uniform areal density σ , is cut in half. One of the halves is then hung on the wall with a frictionless nail that passes through the pivot point P, as shown. A. [10 points] Find the moment of inertia of the half plate about this pivot. Show your work. B. [10 points] Find the location of the center of mass of the half plate. Show your work. C. [10 points] Find the frequency of oscillation for small oscillations about pivot P. Show your work. If you were not able to find answers to parts A or B above, explain how you would use your answers to find the frequency of small oscillations. P
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This document was uploaded on 10/29/2011 for the course PHSX 301 at MSU Bozeman.

Page1 / 9

301 (F98) Final Exam - Physics 301 (Fall 1998) Final Exam...

This preview shows document pages 1 - 3. Sign up to view the full document.

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