Three Blocks with Forces: Calculating Contact Forces

In summary, three blocks with masses of 1kg, 2kg, and 3kg are in contact with each other on a frictionless horizontal surface. A horizontal force of 24N is applied to block one, resulting in an acceleration of 4m/s^2 for the three blocks. The net force on each block is 4N, 8N, and 12N respectively. The normal contact force between the first and second block is 20N, in accordance with Newton's 2nd Law. This contact force does not come from either of the masses, but rather is a result of the interaction between the blocks.
  • #1
chopramon
6
0
Three blocks are in contact with each other on a frictionless horizontal surface with
m1=1kg
m2=2kg
m3=3kg

A horizontal force of 24N is applied to M1.

a) Find the acceleration of the three blocks

b) Find the net force on each block

c) Find the magnitude of the contact forces between the blocks


I have successfully answered questions a) and b) I am confused about c)

a) F = ma
24N = (m1 + m2 + m3)a
a = 4m/s^2

b)Fm1 = 4N
Fm2 = 8N
Fm3 = 12N

c) Thanks for any help with this part
 
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  • #2
My main confusion lies with the fact that there are 3 blocks in contact with each other and not just 2.

Given the fact that Block one has a Fnet of 4N and a force being applied of 24N, a total force in the other direction must be 20N. But that would be from (m2 and m3) how would we get the force just from M2 on M1
 
  • #3
The 20N force you have calculated is the normal contact force between the first and 2nd block, in satisfaction of Newton's 2nd Law. It is not correct to say that this force comes from either or both masses. Like supposing a 100N block sits at rest on a table. The normal contact force of the table on the block, from Newton's 1st law, is 100N upward, regardless of the table's mass.
 

Related to Three Blocks with Forces: Calculating Contact Forces

1. What is the significance of calculating contact forces in three-block systems?

The calculation of contact forces in three-block systems is important for understanding the overall forces acting on each block and determining their resulting motion. This information is crucial for predicting the behavior of the system and ensuring its stability.

2. How do you calculate contact forces in a three-block system?

To calculate contact forces in a three-block system, you must first identify all the external forces acting on each block, including gravitational forces, applied forces, and normal forces. Then, use Newton's second law of motion to determine the net force on each block and apply the principle of action and reaction to find the contact forces between the blocks.

3. Can contact forces between blocks in a three-block system ever be zero?

Yes, it is possible for the contact forces between blocks in a three-block system to be zero. This can occur when the blocks are not in contact with each other, or when the forces acting on each block are balanced in such a way that the net force is zero.

4. What are some common misconceptions about calculating contact forces in a three-block system?

One common misconception is that the weight of an object determines the magnitude of the contact force between it and another block. In reality, the contact force depends on the normal force between the two blocks, which is not always equal to the weight. Another misconception is that the contact force is always equal in magnitude and opposite in direction between two blocks, which is only true in certain situations.

5. How do contact forces affect the motion of a three-block system?

Contact forces play a crucial role in determining the motion of a three-block system. If the contact forces are unbalanced, they can cause the blocks to accelerate or decelerate, resulting in changes in their positions and velocities. Additionally, the direction and magnitude of the contact forces can impact the overall stability and equilibrium of the system.

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