Question
A spring is said to be in ________ when it is neither extended nor compressed.
Step 1
The spring is neither extended nor compressed. This means that the spring is in its natural state, without any external forces acting on it. Show more…
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Two particles of masses $m_{1}$ and $m_{2}$ are attached to the ends of a light spring. The natural length of the spring is $l$, and its tension is $k$ times its extension. Initially, the particles are at rest, with $m_{1}$ at a height $l$ above $m_{2} .$ At $t=0, m_{1}$ is projected vertically upward with velocity $v$. Find the positions of the particles at any subsequent time (assuming that $v$ is not so large that the spring is expanded or compressed beyond its elastic limit).
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