3 masses on an incline (connected)

  • Thread starter Thread starter Ab17
  • Start date Start date
  • Tags Tags
    Incline
Click For Summary
SUMMARY

The discussion centers on a physics problem involving three connected masses on a frictionless incline. The user derived the mass M as 3msin@ and tensions T1 and T2 as 2mgsin@ and 3mgsin@ respectively. When M is doubled, the acceleration is calculated as a = 3gsin@, with tensions T1 and T2 being 2mgsin@ and 6mgsin@ respectively. The user also attempts to find the maximum and minimum values of M under static friction conditions but expresses uncertainty regarding the calculations for part (f).

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Knowledge of equilibrium conditions (Efy=0, Efx=0)
  • Familiarity with static friction concepts and coefficients
  • Basic trigonometry related to inclined planes
NEXT STEPS
  • Study the principles of static and kinetic friction in detail
  • Learn about inclined plane dynamics and tension in connected systems
  • Explore advanced applications of Newton's laws in multi-body systems
  • Investigate graphical methods for solving equilibrium problems
USEFUL FOR

Students in physics, particularly those studying mechanics, as well as educators looking for examples of tension and friction in connected mass systems.

Ab17
Messages
99
Reaction score
2

Homework Statement


Consider the three connected objects shown in Figure P5.88. Assume first that the inclined plane is friction- less and that the system is in equilibrium. In terms of m, g, and u, find (a) the mass M and (b) the tensions T1 and T2. Now assume that the value of M is double the value found in part (a). Find (c) the acceleration of each object and (d) the tensions T1 and T2. Next, assume that the coefficient of static friction between m and 2m and the inclined plane is ms and that the system is in equilib- rium. Find (e) the maximum value of M and (f) the minimum value of M. (g) Compare the values of T2 when M has its minimum and ma

Homework Equations


F=ma
Efy=0
Efx=0

The Attempt at a Solution


(a) 3msin@
( b) T1= 2mgsin@
T2= 3mgsin@
(c) a= 3gsin@
( d) T2= 6mgsin@
T1 = 2mgsin@
(e) 3ms + 2mgsin@/g
(f) don't know what to do but fs less than Us.N

The problem is long and confusing need help
 
Physics news on Phys.org
Solution is too long that is why I only provided the answers I got. Are the answers right or did I make a mistake
 
Ab17 said:
Solution is too long that is why I only provided the answers I got. Are the answers right or did I make a mistake
It will be extremely hard to check your work with neither the diagram nor a description of the arrangement.
 
Ab17 said:
Solution is too long that is why I only provided the answers I got. Are the answers right or did I make a mistake
It will be extremely hard to check your work with neither the diagram nor a description of the arrangement.
 

Similar threads

  • · Replies 47 ·
2
Replies
47
Views
3K
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 10 ·
Replies
10
Views
3K
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
7K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 30 ·
2
Replies
30
Views
4K