Speed of chain with few variables

Click For Summary
SUMMARY

The discussion focuses on calculating the velocity of a 30 cm chain as it slides off a frictionless table. The key equation referenced is the kinetic energy formula, v²*m*0.5 = Ek, which relates the chain's mass and kinetic energy. Participants emphasize the importance of using free body diagrams (FBDs) to analyze the chain's motion at various stages and suggest applying the conservation of energy principle to determine the velocity when the chain has completely left the table.

PREREQUISITES
  • Understanding of kinetic energy and potential energy concepts
  • Familiarity with free body diagrams (FBDs)
  • Basic knowledge of conservation of energy principles
  • Ability to solve algebraic equations involving motion
NEXT STEPS
  • Study the principles of conservation of energy in mechanical systems
  • Learn how to construct and analyze free body diagrams (FBDs)
  • Explore the relationship between mass, velocity, and kinetic energy
  • Investigate the effects of friction on motion in similar scenarios
USEFUL FOR

Students in physics, educators teaching mechanics, and anyone interested in understanding motion dynamics and energy conservation principles.

BearMan
Messages
3
Reaction score
0
I have no idea how to solve this. All i can think of is that you need mass to solve the problem.

Homework Statement


A chain is lying flat on a table. It has no friction against the flat surface. You pull the chain to the edge of the table so that it from a resting state starts to slide down from the table. The chain is 30 cm long. Calculate the chains velocity when the chain has left the table.


Homework Equations


v^2*m*0.5 = Ek
 
Physics news on Phys.org
BearMan said:
I have no idea how to solve this. All i can think of is that you need mass to solve the problem.

Homework Statement


A chain is lying flat on a table. It has no friction against the flat surface. You pull the chain to the edge of the table so that it from a resting state starts to slide down from the table. The chain is 30 cm long. Calculate the chains velocity when the chain has left the table.


Homework Equations


v^2*m*0.5 = Ek

As usual with these types of questions, start by drawing the free body diagram (FBD) for the setup. In this case, I would draw 3 FBDs -- one for the case when the chain is just barely starting to fall, one for mid-fall, and one for when the full chain has just left the table.
 
I would also think about conservation of energy for this one, to avoid some difficult differential equations. You're going to have potential energy transferred to kinetic as the chain falls, so the solution will involve thinking about how much potential energy is going to be lost by the chain once it has left the table.
 
  • Like
Likes   Reactions: 1 person

Similar threads

  • · Replies 6 ·
Replies
6
Views
4K
Replies
114
Views
16K
Replies
8
Views
3K
  • · Replies 2 ·
Replies
2
Views
4K
Replies
22
Views
5K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 7 ·
Replies
7
Views
5K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 16 ·
Replies
16
Views
6K