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

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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
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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.

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

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