Find force link 3 exerts on link 2

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SUMMARY

The problem involves calculating the force that link 3 exerts on link 2 in a chain of five links, each with a mass of 0.105 kg, being lifted with a constant acceleration of 3.5 m/s². The correct approach utilizes the equation F = ma, where the total weight acting on link 2 must account for the gravitational force and the force due to acceleration. The accurate force exerted by link 3 on link 2 is determined to be 6.98 N, which includes the weight of the three links above link 2 and the additional force required for acceleration.

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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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