Calculating Force and Acceleration in a Two Block System with Varying Friction

In summary, the analysis of a two-block system with varying friction involves calculating the net force acting on each block and determining their respective accelerations. The frictional force, which can change depending on the coefficients of static and kinetic friction, plays a crucial role in influencing the motion of the blocks. By applying Newton's second law and considering the forces acting on each block, including gravitational and frictional forces, one can derive equations to compute the overall acceleration of the system. Understanding these dynamics is essential for predicting the behavior of interconnected objects under varying conditions.
  • #1
BEORTA39
3
0
New user has been reminded to ensurfe that their posts and attachments are in English.
Homework Statement
in the A we need to find the force and acceleration of the system when we pull the lower block and the upper mass starts to move

in B we need to find the force and acceleration of the system when we pull the upper block and the upper mass starts to move

the friction before the lower mass and the floor is µ and the friction between the upper and lower mass is 3µ

please help me with that
Relevant Equations
newton laws
in the A we need to find the force and acceleration of the system when we pull the lower block and the upper mass starts to move

in B we need to find the force and acceleration of the system when we pull the upper block and the upper mass starts to move

the friction before the lower mass and the floor is µ and the friction between the upper and lower mass is 3µ

please help me with that
 

Attachments

  • Снимок экрана (17).png
    Снимок экрана (17).png
    22.5 KB · Views: 43
  • 300.pdf
    418.9 KB · Views: 45
Physics news on Phys.org
  • #3
Of course, I don't need anyone to solve my problem only to guide me where to start.

about the problem yes I do understand that i have one block in acceleration (lower one) and the other that starts to slide is affected by friction(static) force and i need to find F and a of the system what i tried to do is drawing forces like all forces problems and then creating equations to solve the problem the place where i stack is understand is i draw the forces correct. because upon that i create my equations
 
  • #4
BEORTA39 said:
about the problem yes I do understand that i have one block in acceleration (lower one) and the other that starts to slide is affected by friction(static) force and i need to find F and a of the system what i tried to do is drawing forces like all forces problems and then creating equations to solve the problem the place where i stack is understand is i draw the forces correct. because upon that i create my equations
First, it's hard to read something with no punctuation. Second, I don't think you have understood the problem.
 
  • Like
Likes MatinSAR
  • #5
Welcome! :smile:

Separate the blocks from each other and the floor.
Then, draw a free body diagram for each block, including only force vectors acting on each, including weight and friction.
 
  • #6
Please guys i think i fix it just tell me if my corrections is better now only. so i can sleep well 😊
 

Attachments

  • solve.pdf
    856.2 KB · Views: 50
  • #7
Very few here can read Hebrew. Forum rules say everything must be posted in English
 
  • Like
Likes berkeman

FAQ: Calculating Force and Acceleration in a Two Block System with Varying Friction

How do you calculate the net force acting on a two-block system with varying friction?

To calculate the net force on a two-block system, you need to consider all the forces acting on each block, including gravitational force, normal force, frictional force, and any applied forces. The net force is the sum of these forces. For each block, you can use Newton's second law (F = ma) to find the net force, considering the direction and magnitude of friction, which varies depending on the surfaces in contact.

How does varying friction between the blocks and surfaces affect the acceleration of the system?

Varying friction affects the acceleration of the system by altering the net force acting on each block. Higher frictional forces oppose the motion more strongly, reducing the net force and thus the acceleration. Conversely, lower frictional forces result in a higher net force and greater acceleration. You need to calculate the frictional force for each block separately and subtract it from the applied force to determine the net force and subsequent acceleration.

What equations are used to solve for acceleration in a two-block system with different friction coefficients?

The primary equations used are Newton's second law (F = ma) and the frictional force equation (f = μN), where μ is the coefficient of friction and N is the normal force. For each block, set up the equation F_net = m*a, where F_net includes the applied force, frictional force, and any other relevant forces. Solve these equations simultaneously to find the acceleration of the system.

How do you determine the frictional force acting on each block in a two-block system?

The frictional force on each block is determined using the equation f = μN. The normal force (N) is usually equal to the weight of the block if the system is horizontal, which is calculated as N = m*g, where m is the mass of the block and g is the acceleration due to gravity. The coefficient of friction (μ) depends on the materials in contact. Calculate the frictional force for each block separately using their respective coefficients of friction and normal forces.

Can you provide an example problem involving a two-block system with varying friction and explain the steps to solve it?

Sure! Consider two blocks, A and B, with masses m_A and m_B, on a horizontal surface. Block A has a coefficient of friction μ_A, and block B has μ_B. An external force F is applied to block A. To find the acceleration:1. Calculate the normal force for each block: N_A = m_A * g and N_B = m_B * g.2. Determine the frictional forces: f_A = μ_A * N_A and f_B =

Similar threads

Finding the work done by a block
Replies
4
Views
2K
Is impulse negligible in this problem?
Replies
15
Views
2K
Friction problem of a block sandwiched between 2 surfaces
Replies
6
Views
662
Finding the time it takes for two stacked blocks to travel
Replies
18
Views
2K
Work done by friction on a two-block system
Replies
7
Views
3K
Static Friction Required to Keep the System from Moving (Two Boxes)
Replies
16
Views
2K
How can I determine the instant the block overcomes static friction?
2
Replies
61
Views
2K
Dynamics of a Block on top of a slab with friction between them
Replies
33
Views
843
Distribution of Energy when work is done on a system of 2 masses connected by a spring
Replies
17
Views
716
Two blocks kept side by side and friction between them
Replies
9
Views
1K

Hot Threads

Recent Insights

Back
Top