2 boxes stacked, determining forces on each other.

  • Thread starter Thread starter mathwhiz
  • Start date Start date
  • Tags Tags
    Forces
Click For Summary
SUMMARY

The discussion focuses on calculating the vertical component of the contact force between two stacked blocks, with masses of 0.85 kg and 1.67 kg, respectively. The upper block experiences a gravitational force of 8.33 N, while the total gravitational force acting on both blocks is 24.696 N. The user initially miscalculated the forces in their free body diagram (FBD) but ultimately resolved the issue by simplifying their approach. Newton's First Law is applied to establish that the sum of forces must equal zero when the system is stationary.

PREREQUISITES
  • Understanding of Newton's First Law
  • Knowledge of free body diagrams (FBD)
  • Familiarity with gravitational force calculations
  • Concept of contact forces in stacked systems
NEXT STEPS
  • Review the principles of static and kinetic friction, particularly in multi-body systems.
  • Study the application of Newton's laws in static equilibrium scenarios.
  • Learn how to construct and analyze free body diagrams for complex systems.
  • Explore the effects of varying coefficients of friction on motion and force calculations.
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and force analysis, as well as educators looking for practical examples of force interactions in stacked objects.

mathwhiz
Messages
21
Reaction score
0

Homework Statement


The mass of the upper block in the stack is 0.85 kg. The mass of the lower block in the stack is 1.67 kg. The coefficients of friction between the two blocks are: static 0.75, and kinetic 0.61. The child's mother, who likes to encourage his experiments, has oiled a small strip of the horizontal floor so that it is very slick; the coefficient of kinetic friction between the oiled section of floor and the lower block is only 0.12 and the coefficient of static friction is insignificantly different.

Before the pushing starts, here are some questions about the vertical forces acting on the two blocks.

b) What is the vertical component of the contact force on the upper block by the lower block? HINT: You must apply Newton's First Law.

Homework Equations



ƩF=0
Since at this point in time the boxes are stationary

The Attempt at a Solution



I know the Fg of upper box is 8.33N, I also know that along with the normal force on the upper block there is also a FB2B1 block 2 being the upper block.
I believe Fg,total= 24.696N, after many other attempts I tried to say Fg,total = NB2, therefore
ƩF = n + FB2B1 - Fg,B2
= 24.696N + FB2B1 - 8.33N = 0
this gives me a negative result for FB2B1 which I know is incorrect.
Here are my free body diagrams, I believe I may be missing something in my FBD which is why I cannot get the answer I am looking for.
 

Attachments

  • photo-3.JPG
    photo-3.JPG
    11.4 KB · Views: 1,199
Physics news on Phys.org
Looking at the upper block, where do each of the forces come from?
 
  • Like
Likes   Reactions: 1 person
I ended up getting the answer, I was over-thinking the problem as I do sometimes, especially when it's late. Thank You for your reply
 
Well done. Would you like to provide the actual method for the benefit of others?
 

Similar threads

Replies
13
Views
3K
  • · Replies 6 ·
Replies
6
Views
1K
Replies
17
Views
3K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
7K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K