Calculate Friction Coeffs & Acceleration for Bigger Block

In summary, the problem involves a bigger block and a smaller block with coefficients of friction μ1 and μ2 respectively. The bigger block has a mass of M and the smaller block has a mass of m. The task is to calculate the acceleration of the bigger block using the equation F=ma and drawing a free body diagram to account for all the forces involved. It is important to be careful not to forget any forces in the problem.
  • #1
Arka420
28
0
1. Homework Statement :
friction.png
In the diagram,the coefficient of friction between the bigger block and the smaller block is μ1 and the coefficient of friction between the bigger block and the ground is μ2. Calculate the acceleration of the bigger block.(As seen in the diagram,M is the mass of the bigger block while m is the mass of the smaller block.




2. Homework Equations : F = ma



3. The Attempt at a Solution : I have absolutely no idea about the question,so I need help.
 
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  • #2
Can you make a bigger diagram? It's very difficult to look at it
 
  • #3
adjacent said:
Can you make a bigger diagram? It's very difficult to look at it

Just right-click on the diagram and select "Open in new tab". That'll do the trick.
 
  • #4
Usually, the first thing to do in such cases, is to draw all the forces involved. Can you do that?
 
  • #5
Bandersnatch said:
Usually, the first thing to do in such cases, is to draw all the forces involved. Can you do that?

Yeah,I know how to draw a FBD.
 
  • #6
Better get started then ;)
Just be careful, there are several forces in this problem that I would think are very easy to forget about ...
 

Related to Calculate Friction Coeffs & Acceleration for Bigger Block

1. What is the formula for calculating friction coefficients?

The formula for calculating friction coefficients is μ = F/N, where μ represents the coefficient of friction, F is the force of friction, and N is the normal force.

2. How do you calculate acceleration for a bigger block?

To calculate acceleration for a bigger block, you can use the formula a = F/m, where a is the acceleration, F is the net force acting on the block, and m is the mass of the block.

3. What factors can affect the friction coefficient?

The friction coefficient can be affected by factors such as the type of surfaces in contact, the roughness of the surfaces, the presence of lubricants, and the normal force applied between the surfaces.

4. Can the friction coefficient be greater than 1?

No, the friction coefficient cannot be greater than 1. This would mean that the force of friction is greater than the normal force, which is not physically possible.

5. How can the coefficient of friction be measured?

The coefficient of friction can be measured through experiments and calculations. One way is to use a force meter to measure the force of friction and a scale to measure the normal force, then plug the values into the formula μ = F/N. Another method is to use a friction tester machine that measures the force of friction directly.

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