Calculating Force F Required for Frictionless Blocks to Remain at Rest

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SUMMARY

The discussion focuses on calculating the force F required to keep two blocks, M1 and M2, at rest relative to a third block M, under the influence of gravity and without friction. The key principle involved is Newton's laws of motion, which dictate that the force must counteract the gravitational force acting on M2 to prevent it from falling. The condition for M1 to remain stationary with respect to M is that the horizontal force F must equal the weight of M2, ensuring that both blocks maintain their positions relative to M.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of forces and acceleration
  • Familiarity with the concepts of mass and weight
  • Ability to analyze free-body diagrams
NEXT STEPS
  • Study the application of Newton's second law in multi-body systems
  • Learn how to construct and interpret free-body diagrams for complex systems
  • Explore the effects of friction on static and dynamic equilibrium
  • Investigate the relationship between mass, weight, and gravitational force
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of forces in multi-body systems, particularly in frictionless environments.

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Homework Statement



What is the magnitude of force F (which is pushing from the left on M) required to keep M1 and M2 relatively at rest to M?

Ignore all friction.

See attached diagram


Homework Equations



Newton's laws

The Attempt at a Solution



Well...If M is at rest, M1 and M2 will have an acceleration due to M2's weight.
When force F appears though, M2 will be pushed horizontally by M since they are in contact.

That's all I know atm.
 

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The question asks about a force on M that allows "M1 and M2 to remain relatively at rest to M".

So what is the condition between M1 and M, such that M1 stays at rest with respect to M? If M1 does not move with respect to M, the M2 doesn't fall.
 

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