Finding ratio of masses of two blocks

In summary, the problem involves two stacked crates on a horizontal floor with coefficients of static friction between Box A and Box B at 0.6 and between Box A and the floor at 0.2. A 100 N force is applied parallel to the floor on Box B causing both boxes to move together. The ratio of the mass of Box A to Box B could possibly be 5:1, 5:2, 4:1, 3:1, or 1:2. To solve this problem, one must set up an inequality using equations for the friction between Box A and Box B and between Box A and the floor. Understanding the forces acting on the lower box is crucial in solving this problem.
  • #1
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Homework Statement


  1. Two crates are stacked on top of each other on a horizontal floor. The coefficient of static friction between Box A and Box B is 0.6. The coefficient of static friction between Box A and the floor is 0.2. A force of 100 N is applied parallel to the floor on Box B. The boxes move together along the floor. The ratio of the mass of Box A to Box B is possibly
  1. 1) 5:1
  2. 2) 5:2
  3. 3) 4:1
  4. 4) 3:1
  5. 5) 1:2

Homework Equations



none so far

The Attempt at a Solution


Hi people. I was trying to figure out how to solve this problem, but I do not even have any hints of an idea so far. Could anyone please help me gets started?
Thanks in advance!
 
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  • #2
For the boxes to move friction between A and B must be greater than between A and the floor.

Write equations for both and set up that inequality. Rearrange.
 
  • #3
CWatters said:
For the boxes to move friction between A and B must be greater than between A and the floor.

Why is this so?
 
  • #4
Think about how the applied force is transmitted to the lower box.

Drawing a FBD for the lower box may help.
 
  • #5
You posted one or two similar questions and they all depend on you understanding the forces acting on the lower box.
 

1. What is the definition of ratio of masses of two blocks?

The ratio of masses of two blocks is the comparison of the weight of one block to the weight of the other. It is a measure of how much heavier or lighter one block is compared to the other.

2. Why is it important to find the ratio of masses of two blocks?

Finding the ratio of masses of two blocks is important for many scientific experiments and calculations. It can help determine the force required to move the blocks, the acceleration of the blocks, and other important measurements.

3. How do you calculate the ratio of masses of two blocks?

The ratio of masses of two blocks can be calculated by dividing the weight of one block by the weight of the other. For example, if one block weighs 10 kg and the other weighs 5 kg, the ratio of masses would be 10/5 = 2.

4. What tools are needed to find the ratio of masses of two blocks?

To find the ratio of masses of two blocks, you will need a scale or balance to measure the weight of each block. You may also need a calculator to perform the division calculation.

5. What factors can affect the accuracy of the ratio of masses of two blocks?

The accuracy of the ratio of masses of two blocks can be affected by external factors such as air resistance, friction, and the precision of the measuring tools. It is important to minimize these factors to obtain a more accurate measurement.

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