Constraint Relations: Acclerations of Blocks in System

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Homework Help Overview

The discussion revolves around the relationship between the accelerations of blocks in a mechanical system, as described by the original poster. The problem involves analyzing the motion of multiple blocks connected by strings.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to establish a relationship between the accelerations of the blocks based on their movements and the constraints of the system. Some participants question the correctness of the original poster's reasoning and calculations.

Discussion Status

There is an ongoing exchange where participants are reviewing the original poster's approach and calculations. Some guidance has been offered, with one participant asking for clarification on the original poster's work to assist in checking the calculations.

Contextual Notes

The original poster mentions discrepancies between their calculated accelerations and those provided in a textbook, indicating a potential misunderstanding or error in their approach. There is also a note about a sign error in their calculations.

ritwik06
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The system is given in the picture. I want to know the relation between the acclerations of each block.

My attempt:
suppose if the body in the middle moves up by x. the string will get loose by 2x. therefore, if a1, a2, a3 are the acclerations. -2*a2=a1+a3
am i correct?
 

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Sounds right to me.
 
But the thing is that my calculated accelerations of the three blocks differ from the answer in my book. Can you please just tell me the acclerations of each block? (in order that I may know if I am right)
 
Show what you did and I'll check it out.
 
Thanks for the help. I actaully was solving with the wrong sign.
 

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