# HW2 - PHYS 3202 Classical Mechanics II Homework#2 Due at...

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

PHYS 3202 Classical Mechanics II - Homework #2 Due at 12:05pm, Friday Feb 4, 2011 in the class In homework, quizzes, and ﬁnal exam, please show intermediate steps of your calculations. Whenever appropriate, you may draw diagram(s). Problem 1 (10 points): Three stars are in a remote region of space. Star 1 has mass m 1 = m , star 2 has mass m 2 = 2 m , and star 3 has mass m 3 = 3 m . Stars α and β ( α < β ) interact with the gravitational potential U αβ = - Gm α m β r αβ , where r αβ is their distance, and G is Newton’s gravitational constant. The masses and the positions and velocities of the stars at time t = 0 are given by the following table: α mass m α position r α velocity v α 1 m b ˆ i - 2 b ˆ j u ˆ k 2 2 m - b ˆ i + b ˆ k 2 u ˆ j 3 3 m 2 b ˆ i + b ˆ j - u ˆ i where b and u are positive constants, and ˆ i , ˆ j , and ˆ k are the unit vectors along the x , y , and z axes, respectively, satisfying ˆ i × ˆ j = ˆ k , ˆ j × ˆ k = ˆ i , ˆ k × ˆ i = ˆ

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 01/22/2012 for the course PHYS 3202 taught by Professor Tan during the Spring '11 term at Georgia Tech.

### Page1 / 2

HW2 - PHYS 3202 Classical Mechanics II Homework#2 Due at...

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

View Full Document
Ask a homework question - tutors are online