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Two particles of masses m 1 and m2 are joined by a
Chapter 8, Problem 8.3(choose chapter or problem)
Two particles of masses m 1 and m2 are joined by a massless spring of natural length L and force constant k. Initially, m2 is resting on a table and I am holding m1 vertically above m2 at a height L. At time t = 0, I project m 1 vertically upward with initial velocity vo. Find the positions of the two masses at any subsequent time t (before either mass returns to the table) and describe the motion. [Hints: See 8.2. Assume that vo is small enough that the two masses never collide.]
Questions & Answers
QUESTION:
Two particles of masses m 1 and m2 are joined by a massless spring of natural length L and force constant k. Initially, m2 is resting on a table and I am holding m1 vertically above m2 at a height L. At time t = 0, I project m 1 vertically upward with initial velocity vo. Find the positions of the two masses at any subsequent time t (before either mass returns to the table) and describe the motion. [Hints: See 8.2. Assume that vo is small enough that the two masses never collide.]
ANSWER:Step 1 of 4
The center of mass of the system is,
From this equation we can write,
The distance,
Here,
Now,
Now,
