What Is the Maximum Force Before the Top Block Slides Off?

  • Thread starter Thread starter wernzj
  • Start date Start date
  • Tags Tags
    Blocks Friction
Click For Summary
SUMMARY

The maximum force before the top block (3M) slides off the stack of blocks on a frictionless surface is 107 N. The system consists of three blocks with masses M (7 kg), 2M, and 3M, where a force F of 28 N is applied to the block M. The friction coefficients between blocks 2M and 3M are μs = 0.26 and μk = 0.15. The calculations involve determining the static friction force that prevents the sliding of the top block.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of static and kinetic friction coefficients
  • Ability to apply kinematic equations in physics
  • Familiarity with mass and force calculations
NEXT STEPS
  • Calculate the static friction force using the formula F_friction = μs * N, where N is the normal force.
  • Explore the implications of different mass configurations on static friction.
  • Investigate the effects of varying the applied force F on the system's stability.
  • Learn about dynamics on frictionless surfaces and how they differ from frictional surfaces.
USEFUL FOR

Physics students, educators, and anyone interested in mechanics and dynamics, particularly in understanding friction and force interactions in multi-block systems.

wernzj
Messages
2
Reaction score
0
Three blocks (M, 2M, and 3M) are placed in contact on a horizontal frictionless surface. A constant force of magnitude F is applied to the box of mass M. There is friction between the surfaces of blocks 2M and 3M (μs = 0.26, μk = 0.15) so the three blocks accelerated together to the right.
The blocks are set up so that M and 2M are side by side with 3M on top of 2M.
M = 7 kg
F = 28 N

I tried using basic kinematic and friction equations, but haven't been able to get the correct answer which is 107 N. Help is greatly appreciated.
 
Physics news on Phys.org
Just realized I hadn't posted the actual question:
What is the maximum force F that can be applied, before the 3M block slides off?
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
Replies
13
Views
4K
Replies
23
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
17
Views
4K
  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 45 ·
2
Replies
45
Views
8K
Replies
15
Views
3K