Finding the Unknown Mass and Force in a Suspended Chain Link System

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In a suspended chain link system, the mass of the top link is 8 kg, while the mass of the bottom link is unknown. An upward force of 216 N is applied to the top link, resulting in an acceleration of 2 m/s². To find the mass of the second link, the total mass (M) can be expressed as M = m1 + m2, leading to the equation 2M = (216 - mg), where g is the acceleration due to gravity. By substituting known values, the unknown mass can be isolated. The force exerted by link #2 on link #1 is equivalent to the weight of link #2.
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Homework Statement



Two chain links are connected together and are suspended by a string. The mass of the top link, link#1 is 8kg, while the mass of the second/bottom link #2 is unknown. If an applied force on the string attached to link #1 of 216N[up], and the links experience an acceleration of 2m/s^2 [up] find the mass of link #2 and the force that link#2 exerts on link1

Homework Equations



The only thing I know is that the mass is equal to the mass of both of the chains put together, so the mass is greater than 8kg.


The Attempt at a Solution


I'm not sure what equations I would have to use
 
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F=ma=sum of all forces. Force 1 is upwards=216. Force downwards is due to gravity.

To start, consider a tota mass which is equal to m1 + m2 =M m1=8, m2=?

2*M=(216-Mg) Can you get m2?
 
if we were to sub all of our knows into the equation 2 x M= (216-mg) we would get

2 x M= (216 - m x 10)

but then where would we go from there
 
Well this (M) is the total mass. So subtract m1 and you have the unknown mass. Then if you do a Free body diagram, the force that link 2 exerts on link 1 is easily obtained--it is just the weight of link 2 (note weight is not same as mass)
 
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