What is the tension in the cord connecting the two blocks at this instant?

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Homework Help Overview

The discussion revolves around calculating the tension in a cord connecting two blocks, each with a mass of 2.0 kg, under the influence of static friction. The coefficients of static friction for the blocks are given as 0.45 and 0.30, respectively. The context involves determining the tension at a specific instant when a force is applied to one of the blocks.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the tension based on the friction force but questions the correctness of their approach. Other participants inquire about the specific conditions affecting the blocks and the timing of the applied force.

Discussion Status

Participants are exploring the problem with some providing insights into the conditions under which the blocks start moving. There is an acknowledgment of different interpretations regarding the instant being discussed, and some guidance is offered on balancing forces.

Contextual Notes

There is a lack of clarity regarding the specific instant being analyzed, which affects the understanding of the problem. Additionally, the original poster's calculations are questioned, indicating potential misunderstandings of the forces involved.

huybinhs
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Homework Statement



The coefficient of static friction between block A and a horizontal floor is 0.45 and the coefficient of static friction between block B and the floor is 0.30. The mass of each block is 2.0 kg and they are connected together by a cord.

What is the tension in the cord connecting the two blocks at this instant?
Answer: N


Homework Equations

and

The Attempt at a Solution



as the friction force on the block A is 8.82 N, for just to move it the force is 8.82 N and this is applied by the cord only. Hence the tension in the cord is 8.82 N

T = 0.45 * 9.8 * 2 = 8.82 N => INCORRECT. Why? Please help!
 
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Hi huybinhs! :smile:

At what instant? You haven't said what is happening to the blocks. :confused:
 
tiny-tim said:
Hi huybinhs! :smile:

At what instant? You haven't said what is happening to the blocks. :confused:

Part a for this problem is "If a horizontal force F pulling on block B is slowly increased until it is barely enough to make the two blocks start moving, what is the magnitude of F at the instant they start to slide?"

I already figured it out that the answer is 15.092 N.

I don't know how to do part 2. Please help!
 
huybinhs said:
Part a for this problem is "If a horizontal force F pulling on block B is slowly increased until it is barely enough to make the two blocks start moving, what is the magnitude of F at the instant they start to slide?"

ahhh! :rolleyes:

ok then, the acceleration of the second block is zero, so just balance the forces on the second block. :smile:

(or the first block … same result … just takes a bit longer :wink:)
 
Ok. Thanks! My answer is CORRECT, my instructor just fixed it. Thanks anyway ;)
 

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