Find the acceleration of the blocks

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SUMMARY

The discussion focuses on calculating the acceleration of three blocks under the influence of a horizontal force of 10 N applied to a 7 kg block. The frictional force between the 7 kg and 3 kg blocks is determined to be 15 N, which exceeds the applied force, indicating that these two blocks will move together as a single unit. The acceleration of the 4 kg block needs to be analyzed separately, and participants suggest using the F = ma equations for each block to derive the correct accelerations.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Knowledge of frictional forces and coefficients of friction
  • Basic principles of block motion and acceleration
  • Ability to set up and solve equations for multiple objects
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  • Learn how to calculate frictional forces in multi-block systems
  • Study the application of Newton's laws to connected objects
  • Explore the concept of system acceleration in physics
  • Practice solving problems involving multiple blocks with different masses
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Students studying physics, particularly those focusing on mechanics and dynamics, as well as educators looking for examples of applying Newton's laws in multi-body systems.

jyothsnapb
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Homework Statement



Find the acceleration of the blocks if a horizontal force of 10 N is applied on the 7 kg block.
u1, u2 and u3 are the coefficients of friction. refer diagram. thanks in advance

Homework Equations





The Attempt at a Solution



the force of friction between 7 kg and 3 kg is 15 N which is more than the applied force so they will move together like a single block. I am confused abt the motion of the 4 kg block will it move with a different acceleration or same?
 

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hi jyothsnapb! :wink:

do questions like this systematically …

call the accelerations of the three blocks a1 a2 and a3,

then write out F = ma equations for each block …

what do you get? :smile:
 

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