Minimum force required to keep two blocks from not falling

  • #1
nafisanazlee
14
1
Homework Statement
Two blocks P and Q are of weight 20N and 100N, respectively. These are being pressed against a wall by a force F as shown. If the coefficient of static friction between the blocks is 0.1 and between block Q and the wall is 0.15, what will be the minimum force to keep the blocks in equilibrium?
I've tried to solve it in this way, but I'm not sure if my approach is correct or not. Can you please check?
Relevant Equations
Fsmax = μsN
CamScanner 11-26-2023 02.56.jpg
 
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  • #2
:welcome:

Looks right. You might want to add why block P does not slide.
 
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  • #3
PeroK said:
:welcome:

Looks right. You might want to add why block P does not slide.
because the maximum friction force that can be provided between the two blocks becomes 0.1*800= 80N, and we only need 20N for support, so it's fine..?
 
  • #4
nafisanazlee said:
because the maximum friction force that can be provided between the two blocks becomes 0.1*800= 80N, and we only need 20N for support, so it's fine..?
Yes, it was fairly obvious from the numbers that the maximum force was needed for Q (as it is much heavier). But, it does no harm to show the calculation for P as well.
 
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  • #5
PeroK said:
Yes, it was fairly obvious from the numbers that the maximum force was needed for Q (as it is much heavier). But, it does no harm to show the calculation for P as well.
Thank you so much for your time. Much appreciated.
 
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1. What is the definition of minimum force required to keep two blocks from not falling?

The minimum force required to keep two blocks from not falling is the minimum amount of force needed to counteract the force of gravity and prevent the blocks from falling.

2. How is the minimum force required to keep two blocks from not falling calculated?

The minimum force required to keep two blocks from not falling is calculated by using the formula F = mg, where F is the force, m is the mass of the blocks, and g is the acceleration due to gravity.

3. What factors can affect the minimum force required to keep two blocks from not falling?

The factors that can affect the minimum force required to keep two blocks from not falling include the mass of the blocks, the surface area of contact between the blocks and the surface they are resting on, and the angle at which the blocks are positioned.

4. Can the minimum force required to keep two blocks from not falling be greater than the force of gravity?

Yes, the minimum force required to keep two blocks from not falling can be greater than the force of gravity. This is because the minimum force required is dependent on the mass and other factors, whereas the force of gravity remains constant.

5. How can the minimum force required to keep two blocks from not falling be increased?

The minimum force required to keep two blocks from not falling can be increased by increasing the mass of the blocks, increasing the surface area of contact between the blocks and the surface they are resting on, and increasing the angle at which the blocks are positioned.

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