Find force link 3 exerts on link 2

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To find the force that link 3 exerts on link 2 in a chain of five links, each with a mass of 0.105 kg and accelerating at 3.5 m/s², the equation F = ma is applied. The calculation initially provided resulted in FU = 4.19 N, which is deemed incorrect due to a potential omission of a factor related to the number of links above link 2. The correct approach requires considering the total weight of the links above link 2 and the acceleration acting on them. Clarification on the numbering of the links may also be necessary to ensure accurate calculations. Understanding these factors will lead to the correct force value.
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Homework Statement


A chain consisting of five links, each of mass 0.105 kg, is lifted vertically with a constant acceleration of a = 3.5 m/s2. Find the magnitude of the force that link 3 exerts on link 2.

Homework Equations


F = ma


The Attempt at a Solution


I did:
F = ma
FU - (0.105 * 3)(9.8) = (0.105) * 3.5
FU = 4.19 N

where FU is the force pulling up, (0.105*3) is the mass of the link's 5, 4, and 3 weighing down on link 2 (mg=weight) and then the mass*accel on the other side.

This is wrong. why? and how do i get the right answer?
 
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does no one know how to do it? ...if it helps. i found the force required to move the top link at that acceleration to be 6.98 N...at it was the right answer...
 
jturn said:

Homework Statement


A chain consisting of five links, each of mass 0.105 kg, is lifted vertically with a constant acceleration of a = 3.5 m/s2. Find the magnitude of the force that link 3 exerts on link 2.

Homework Equations


F = ma


The Attempt at a Solution


I did:
F = ma
FU - (0.105 * 3)(9.8) = (0.105) *3[/color] *3.5
FU = 4.19 N OK[/color]

where FU is the force pulling up, (0.105*3) is the mass of the link's 5, 4, and 3 weighing down on link 2 (mg=weight) and then the mass*accel on the other side.

This is wrong. why? and how do i get the right answer?
It looks like your calculation and answer is correct, although you left out a 3 in an apparent typo omission (see above in red). Unless, the links are numbered 1 thru 5 bottom to top, rather than 1 thru 5 top to bottom??
 
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