Three Blocks with Forces: Calculating Contact Forces

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SUMMARY

The discussion focuses on calculating contact forces between three blocks (m1=1kg, m2=2kg, m3=3kg) on a frictionless surface when a horizontal force of 24N is applied to m1. The acceleration of the blocks is determined to be 4m/s², with net forces calculated as Fm1=4N, Fm2=8N, and Fm3=12N. The confusion arises in calculating the contact forces between the blocks, particularly how the force from m2 on m1 is derived, emphasizing the application of Newton's laws in multi-body systems.

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chopramon
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Three blocks are in contact with each other on a frictionless horizontal surface with
m1=1kg
m2=2kg
m3=3kg

A horizontal force of 24N is applied to M1.

a) Find the acceleration of the three blocks

b) Find the net force on each block

c) Find the magnitude of the contact forces between the blocks


I have successfully answered questions a) and b) I am confused about c)

a) F = ma
24N = (m1 + m2 + m3)a
a = 4m/s^2

b)Fm1 = 4N
Fm2 = 8N
Fm3 = 12N

c) Thanks for any help with this part
 
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My main confusion lies with the fact that there are 3 blocks in contact with each other and not just 2.

Given the fact that Block one has a Fnet of 4N and a force being applied of 24N, a total force in the other direction must be 20N. But that would be from (m2 and m3) how would we get the force just from M2 on M1
 
The 20N force you have calculated is the normal contact force between the first and 2nd block, in satisfaction of Newton's 2nd Law. It is not correct to say that this force comes from either or both masses. Like supposing a 100N block sits at rest on a table. The normal contact force of the table on the block, from Newton's 1st law, is 100N upward, regardless of the table's mass.
 

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