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Find a for this system
 
Two bodies move 
as one mass w/ one accel.
 
Fnet = ma
Let's make clockwise +
Mg = (m + M)a
The 2 masses get their accel. 

from hanging mass
 
 
Applies only for frictionless surface
Mg = a
(M+m)
 
 
 

What would the accel. be if
the little mass was hanging?

 
 
 
 
mg = a
(M+m)
 
What is the tension force of rope?
 
SFx = ma
 
Tf = ma
Rule - One Rope, One Tension
Let's make clockwise +
 
 
Tension in terms of M
ΣFy=Ma
 
Mg - Tf  = Ma 
 
Mg - Ma  = Tf 
 Tf  = M(g - a)  
 
 
If Box on table 
had friction
coefficient of friction = μ
 

 

 

 

 

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