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Rope A chain is suspended by a rope as shown at right

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Rope A chain is suspended by a rope as shown at right. The chain is composed of four identical links and does not move. a. In the spaces below, draw a free-body diagram for each of the four links. Label each of the forces as you were instructed in the tutorial Forces. Free-body diagram Free-body diagram Free-body diagram Free-body diagram 4 for link for link 2 for link 3 for link 4 Cuenca b. Identify all the Newton's third law tion) force pairs in your diagrams by placing one or more small symbols through each member of the pair (ie.. mark each member of the first pair as .each member of the second pair as etc.). c. Rank, from largest to smallest, the magnitudes of all the forces on your diagrams. Explain your reasoning, including how you used Newton's second and third laws.

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Since the links are identical, let the weight of a link be W.

For the equilibrium of the 4th link

$W=T_{c_{4}c_{3}}$

For the equilibrium of the third link,

$2W=W+T_{c_{4}c_{3}}=T_{c_{3}c_{2}}$

For the equilibrium of the second link

$3W=W+T_{c_{3}c_{2}}=T_{c_{2}c_{1}}$

For the equilibrium of the first link,

$4W=W+T_{c_{2}c_{1}}=T_{c}$

So, $T_{c}>T_{c_{2}c_{1}}>T_{c_{3}c_{2}}>T_{c_{4}c_{3}}=W$

We used Newton's 2nd law to have the force equation as acceleration is 0

We used Newton's 3rd law to have T_i applying same and opposite force on 2 adjacent links.

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Rope A chain is suspended by a rope as shown at right

Physics