How Do You Calculate the Tension T2 Between Blocks in a Frictional System?

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To calculate the tension T2 between the blocks in the frictional system, it is essential to correctly determine the friction force using the formula F_friction = μ_k(N), where N is the normal force. The initial attempt to solve for acceleration and tension yielded an incorrect value of 81.11 N. A proper approach involves analyzing each block separately with free body diagrams and applying Newton's second law. The pulling force T3 is 98.0 N, which must be balanced against the frictional forces and the tensions in the cords. Accurate calculations for each block's friction and subsequent tensions are necessary to find the correct value for T2.
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Homework Statement


There are three blocks on a table. They are connected by a massless cord and pulled to the right. From rigt to left, it follows: T3, block 3, T2, block 2, T1, block 1
m1: 2.5kg
m2: 9.5kg
m3: 1.5kg
mu kinetic: .051
The pulling force is equal to T_3 = 98.0 N. What is the tension T_2?

Homework Equations


I think my equations may be incorrect, but here goes
F_{}fr=F_{}N + \mu_{}k
F_{}pull=F_{}fr + ma

The Attempt at a Solution



I solved for accel. and then plugged it into the equation for tension and I got a value of 81.11 N, but that is not correct.

Any help please?
 
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BeatTheRuckus said:

Homework Statement


There are three blocks on a table. They are connected by a massless cord and pulled to the right. From rigt to left, it follows: T3, block 3, T2, block 2, T1, block 1
m1: 2.5kg
m2: 9.5kg
m3: 1.5kg
mu kinetic: .051
The pulling force is equal to T_3 = 98.0 N. What is the tension T_2?

Homework Equations


I think my equations may be incorrect, but here goes
F_{}fr=F_{}N + \mu_{}k
F_{}pull=F_{}fr + ma

The Attempt at a Solution



I solved for accel. and then plugged it into the equation for tension and I got a value of 81.11 N, but that is not correct.

Any help please?
[/b]
The friction force is not correct. For objects in motion, it's F_{friction} = \mu_k(N), where N is the normal force between the block and table. You're going to have to calculate it for each block, then use Newton 2 and 'free body diagrams'. Are you familiar with them?
 
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