q03 - Physics 3221 Mechanics I Fall Term 2010 Quiz 3 This...

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 3221 Mechanics I Fall Term 2010 Quiz 3 This is a 10 min. quiz (closed book). There are two multiple choice problems. Problem 1. [2.5 pts] A particle of mass m moves in a one-dimensional potential V ( x ) = ax 2- bx 4 , where a and b are positive constants. The angular frequency w of small oscillations about the minimum of the potential is equal to (A) radicalBig 4 b m (B) radicalBig a 2 b (C) 2 radicalBig a m (D) 2 radicalBig m a (E) radicalBig 2 a m Solution. E. The potential has three extrema, but only the one at x = 0 is a minimum. Then the equation of motion is m x = F x =- dU dx =- 2 ax + 4 bx 3 - 2 ax x + 2 a m x = 0 from where 2 = 2 a m . Notice that answers A, B and D can be ruled out simply on dimensional grounds (they have the wrong units). Problem 2. [2.5 pts.] A particle of mass m undergoes harmonic oscillation with period T . A retarding force f proportional to the speed v of the particle, f =- bv is introduced. If the particle continues to oscillate, the period with...
View Full Document

Page1 / 2

q03 - Physics 3221 Mechanics I Fall Term 2010 Quiz 3 This...

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