Which Acceleration Formula is Correct for the Larger Block in the Pulley System?

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Homework Help Overview

The discussion revolves around determining the correct formula for the acceleration of a larger block in a pulley system, where the block is on a frictionless surface. The problem involves two blocks with different masses and their interactions through tension in the pulley system.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore different equations of motion for the blocks, questioning the validity of their derived formulas for acceleration. There is a focus on the relationships between tension and mass in the system.

Discussion Status

Some participants have provided their reasoning and calculations, leading to differing conclusions about the correct formula for acceleration. There is an acknowledgment of multiple interpretations of the problem, with at least one participant expressing agreement with a proposed solution.

Contextual Notes

Participants are reminded to show their work in accordance with forum guidelines, indicating that the discussion is framed within the context of homework help and adherence to specific problem-solving protocols.

dk_ch
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the acceleration of the larger block of mass M on frictionless floor of the pully system as in (fig given bmp attachment) will be
(i) 4mg/(M+17m) (ii) 4mg/(M+16m)

which answer is correct and how?
 

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Welcome to PF. Note that you must show some work before we can help you in the homework forums: i.e. fill in parts 2 and 3 on the homework template!
 


I tried to solve the problem using following two equations taking large and small block
respectively as freebodies

Ma = 4T ------(1)
mg-T = 4ma -------(2)

solving these two i get acceleration of the larger block a = 4mg/(M + 16m)

the answer given in the text is the other one. please provide me the right answer.
 


I agree with your answer.
 

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