Blocks being pulled by a string

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The discussion focuses on a physics problem involving three identical blocks connected by strings and being pulled by a force F on a frictionless surface. The key points include determining the tension T in the string between blocks B and C and calculating the acceleration of the system. The relationship established shows that the total force F equals 3/2 times the tension T. Additionally, the acceleration of the entire system is derived as F divided by 3m. The participants confirm the calculations and clarify the relationships between force, tension, and acceleration.
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I'm just starting to get my head around the concepts of Tension and Force but I'm stuck on this question, I was wondering if anyone could help me out?

Q: 3 identical blocks connected by ideal strings are being pulled along a horizontal frictionless surface by a horizontal force F. The magnitude of the tension in the string between blocks B and C is T. Assume that each block has mass m.

i> What is the magnitude of the force? (Expressed in terms of T)
ii> What is the magnitude of the accleration of the three blocks (in terms of m and F)?

I worked out the acceleration on block B (T/(2*m)) but don't know what to do next. I'd really appreciate any help with this.
 

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The acceleration is the same for the entire system. So the force must be (m1 + m2 + m3)*a

hope that helps
 
I think it does... that would make the Force 3/2*T right?
So in terms of m and F, the acceleration would be F/3m ?
 
Last edited:
Yes, you are right.

F - T = m_ca,

or

F = T + m_ca = T + m(\frac{T}{2m}) = \frac{3}{2}T
 
Awesome - Thanks a lot
 

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