Find the range of acceleration so that the drums won't fall

  • #1
Problem:
open

oil_drums.png

Attempt: I tried to solve the range by listing out the newton's 2nd laws of each drum
1.png

open

and from the equations of the drum 2, I get
N1_N2.png

open

Since drum 2 must stay on the bottom drums, so it will not fly up, thus
upper_bound.png

open

I got the upper bound of the acceleration, but I don't know if it is correct.


My question:
Although I got the seemingly correct upper bound of the acceleration, but I don't know how I can get the lower bound of the acceleration?
 

Attachments

  • oil_drums.png
    oil_drums.png
    113.6 KB · Views: 600
  • 1.png
    1.png
    41.6 KB · Views: 378
  • N1_N2.png
    N1_N2.png
    36.4 KB · Views: 307
  • upper_bound.png
    upper_bound.png
    68.4 KB · Views: 285
Last edited:

Answers and Replies

  • #2
phinds
Science Advisor
Insights Author
Gold Member
17,138
8,349
None of your images show up
upload_2018-9-19_15-0-25.png
 

Attachments

  • upload_2018-9-19_15-0-25.png
    upload_2018-9-19_15-0-25.png
    2.3 KB · Views: 507
  • #4
haruspex
Science Advisor
Homework Helper
Insights Author
Gold Member
2020 Award
36,765
7,100
got the seemingly correct upper bound of the acceleration, but I don't know how I can get the lower bound of the acceleration?
Each bound corresponds to the system falling apart. In which two ways can that happen? What can you say about the normal forces in those two cases?
 
  • #5
Each bound corresponds to the system falling apart. In which two ways can that happen? What can you say about the normal forces in those two cases?

Well, I think there are two cases, one is for the upper bound I solved(corresponds to the top drum flying up); the other case is for the lower bound(it corresponds to the situation when the top drum is falling down, i.e. N_1 and N_2 are not enough to support the top drum.)
 

Related Threads on Find the range of acceleration so that the drums won't fall

  • Last Post
Replies
2
Views
590
  • Last Post
Replies
1
Views
1K
Replies
10
Views
869
Replies
5
Views
2K
Replies
3
Views
1K
Replies
4
Views
1K
  • Last Post
Replies
10
Views
6K
  • Last Post
Replies
1
Views
2K
Replies
1
Views
1K
Replies
4
Views
5K
Top