Calculating Acceleration in a Block and Tackle System

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Homework Help Overview

The discussion revolves around calculating the acceleration of a block and tackle system involving two blocks connected by a string, with one block on an inclined plane and the other hanging vertically. The problem includes specific masses and an angle of inclination.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to start the problem and requests starting equations. Some participants suggest drawing free body diagrams and breaking down forces into components along and perpendicular to the incline. There is a question about the correct identification of forces acting on the blocks.

Discussion Status

Participants are actively engaging with the problem, with some providing guidance on how to approach it through free body diagrams and force analysis. The original poster has made progress in understanding the forces involved, although there is still some confusion regarding the signs of the forces.

Contextual Notes

There are references to missing images that may provide additional context for the problem setup. The original poster's edits indicate an evolving understanding of the problem as they revisit their calculations.

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Two blocks are connected by a string, as shown in the figure. The smooth inclined surface makes an angle of = 34° with the horizontal, and the block on the incline has a mass of 5.7·kg. The mass of the hanging block is 2.4·kg.

What is the magnitude of the hanging block's acceleration?
I really don't know how to start with this problem. If you could give me some starting equations that would be really helpful. Thank you

Edit: Here's the link! Sorry about that http://imgur.com/PH12mmc
 
Last edited by a moderator:
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missing picture...
 
nil1996 said:
missing picture...

fixed. sorry about that!
 
First try to draw the free body diagram.Find the components of forces along the inclined plane(x-axis) and perpendicular to the inclined plane(y-axis)
Use ƩFx=max and ƩFy=may
Solve these equations you will definitely get the answer
 
nil1996 said:
First try to draw the free body diagram.Find the components of forces along the inclined plane(x-axis) and perpendicular to the inclined plane(y-axis)
Use ƩFx=max and ƩFy=may
Solve these equations you will definitely get the answer

Alright, so I just went back to this problem. When doing the forces along the X axis, would I use the Force of Weight of the hanging block (2.4*9.8=23.52N) as the positive X force and the x component of the force of weight on the bigger block (55.86sin34=31.24N) as the negative x force, and that's it for the forces on the x axis? What would the Y forces be?
 
Last edited:
Ok, just figured it out and I'm annoyed at it. It's +.95, and I had -.95 to begin with. Not sure why it's positive but it is. Thanks for the help.
 

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