How Does Angular Momentum Apply When a Door is Hit by Mud?

Click For Summary

Homework Help Overview

The problem involves a solid wood door being struck by a handful of sticky mud, focusing on the application of angular momentum and conservation principles. The door's dimensions, mass, and the characteristics of the mud are provided, setting the stage for a discussion on how these factors interact during the impact.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the necessity of using conservation of both linear and angular momentum, with some expressing uncertainty about how to transition from linear momentum to angular momentum. Questions arise regarding the role of external forces, particularly from the hinge, in the conservation equations.

Discussion Status

There is an ongoing exploration of the principles involved, with some participants suggesting the need to consider both linear and angular momentum conservation. However, there is no explicit consensus on the setup of the problem or the correct application of these principles.

Contextual Notes

Participants note the complexity introduced by the hinge providing an external force, which may affect the conservation of linear momentum. The discussion reflects a need for clarity on how to approach the problem given these constraints.

mvpshaq32
Messages
28
Reaction score
0

Homework Statement



A solid wood door 1.00 m wide and 2.00 m high is hinged along one side and has a total mass of 41.0 kg. Initially open and at rest, the door is struck at its center by a handful of sticky mud with mass 0.700 kg, traveling perpendicular to the door at 11.0 m/s just before impact.

Homework Equations



L=rmv=I(omega)

The Attempt at a Solution



I know I have to use conservation of momentum, but I have no idea how to set up the problem of turning linear momentum into angular momentum.
 
Physics news on Phys.org
You have to use conservation of linear and angular momentum.
 
rl.bhat said:
You have to use conservation of linear and angular momentum.

you cannot use conservation of linear momentum. The hinge will provide external force.
 
mvpshaq32 said:
I know I have to use conservation of momentum,

you have to use conservation of angular momentum.

mvpshaq32 said:
but I have no idea how to set up the problem of turning linear momentum into angular momentum.

angular momentum = mvr sin(theta)

find angular momentum of door about the axis and multiply with angular velocity to get angular momentum.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
5K
Replies
3
Views
3K
Replies
335
Views
17K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 62 ·
3
Replies
62
Views
14K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 1 ·
Replies
1
Views
31K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K