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

In summary, on a horizontal frictionless surface, three blocks (M, 2M, and 3M) are in contact. A constant force of magnitude F is applied to the M block, with friction between the 2M and 3M blocks (μs = 0.26, μk = 0.15). The blocks are arranged with M and 2M side by side and 3M on top of 2M, with M = 7 kg and F = 28 N. Using basic kinematic and friction equations, the maximum force F that can be applied before the 3M block slides off is 107 N.
  • #1
wernzj
2
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.
 
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  • #2
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?
 

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

What is friction?

Friction is a force that opposes the motion of objects when they come into contact with one another.

What is the cause of friction between blocks?

The cause of friction between blocks is the microscopic irregularities on the surfaces of the blocks that interlock and resist motion.

How does the weight of the blocks affect friction?

The weight of the blocks can increase the amount of friction between them, as the weight puts more pressure on the surface and increases the interlocking of the microscopic irregularities.

Can friction between blocks be reduced or eliminated?

Friction between blocks can be reduced by using lubricants or by smoothing out the surfaces of the blocks. However, it cannot be completely eliminated as it is a natural force that occurs when objects come into contact.

How does the type of surface affect the friction between blocks?

The type of surface can greatly affect friction between blocks. Smooth surfaces have less friction compared to rough surfaces, as there are fewer irregularities to interlock and resist motion.

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