Determining an expression for acceleration

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SUMMARY

The discussion focuses on determining the expression for acceleration in a system of three blocks on wedges, with the assumption that the blocks are stationary. Key equations utilized include Newton's second law (F=ma), the normal force equation (N=mg), and the friction force equation (friction = umg). Participants emphasize the importance of free-body diagrams for each block to analyze forces, including gravity, normal forces, and kinetic friction. The conversation highlights the necessity of incorporating geometric constraints to ensure block 2 remains on block 1.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with free-body diagrams
  • Knowledge of frictional forces and their calculations
  • Basic geometry related to motion and positioning
NEXT STEPS
  • Study the derivation of equations of motion for systems with multiple bodies
  • Learn about the role of kinetic friction in dynamic systems
  • Explore geometric constraints in physics problems involving multiple objects
  • Review advanced applications of Newton's laws in complex systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators seeking to enhance their understanding of forces in multi-body systems.

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Homework Statement



Here is the question: http://i1110.photobucket.com/albums/h459/granolup/Untitled.png

It is assumed that the blocks are not moving.

Homework Equations



F=ma
N=mg
friction = umg

The Attempt at a Solution



I have started out drawing free-body diagrams for each of the three wedges.
For m1, there is a force due to gravity pointing downwards, a normal force pointing to the top right.
For m2, there is a force due to gravity pointing downwards, a normal force pointing to the bottom left, and the force of kinetic friction pointing to the top left.
For m3, there is a force due to gravity pointing downards, and a normal force pointing upwards.
 
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welcome to pf!

hi kobylorat! welcome to pf! :wink:
kobylorat said:
I have started out drawing free-body diagrams for each of the three wedges.
For m1, there is a force due to gravity pointing downwards, a normal force pointing to the top right.
For m2, there is a force due to gravity pointing downwards, a normal force pointing to the bottom left, and the force of kinetic friction pointing to the top left.
For m3, there is a force due to gravity pointing downards, and a normal force pointing upwards.

ok so far (but isn't there also a friction force from the ground, and between 2 and 3?) …

now write out the equations of motion, including a purely geometric equation which specifies that block 2 stays on block 1 :smile:
 

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