How Do You Achieve Equilibrium in a Dual-Radius Pulley System?

Click For Summary
SUMMARY

The discussion focuses on achieving equilibrium in a dual-radius pulley system, specifically one with pulleys having radii of 100 mm and 300 mm. The key principle established is that if both pulleys were at the same radius, the tensions in the ropes would be equal. To maintain equilibrium, the relationship between the tensions TA and TB must be defined, ensuring that pulley 4 experiences neither rotational nor translational motion.

PREREQUISITES
  • Understanding of pulley mechanics and tension forces
  • Basic knowledge of equilibrium conditions in mechanical systems
  • Familiarity with the principles of rotational motion
  • Ability to analyze systems with multiple forces acting on them
NEXT STEPS
  • Study the principles of torque and its application in pulley systems
  • Learn about the equations of motion for systems in equilibrium
  • Explore the concept of mechanical advantage in pulley systems
  • Investigate the effects of varying radii on tension in ropes
USEFUL FOR

Mechanical engineers, physics students, and anyone involved in the design or analysis of pulley systems will benefit from this discussion.

yopy
Messages
43
Reaction score
0
23jrcww.jpg


my problem is the one shown above. In all honesty i do not know how this system works since a pulley with two radii's has two different cables running through it. Does anyone know where i need to start at with this problem?
 
Physics news on Phys.org
Hi yopy! :smile:

Hint: if A and B were at the same radius, then the tension in ropes 1 and 2 would be the same … can you see why?

ok, now use the same principle to find the actual relationship between the tensions. :wink:
 
From he figure, I presume that pulleys 1 and 2 are combined one with radii 100 mm and h300 mm. If TA and TB are the tensions in rope A and B, then what should be the condition so that the pulley system 1 and 2 will remain in equilibrium?
What should be the condition that the pulley 4 shall have neither rotational motion nor the translational motion.
 

Similar threads

  • · Replies 22 ·
Replies
22
Views
7K
  • · Replies 57 ·
2
Replies
57
Views
7K
  • · Replies 13 ·
Replies
13
Views
7K
Replies
24
Views
4K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 30 ·
2
Replies
30
Views
4K
  • · Replies 29 ·
Replies
29
Views
4K
  • · Replies 5 ·
Replies
5
Views
5K