What is the angular momentum of the system after the collision?

Click For Summary
SUMMARY

The discussion focuses on calculating the angular momentum of a system consisting of two pucks after a grazing collision. The smaller puck has a mass of 36 g and a radius of 25 cm, while the larger puck has a mass of 85 g and a radius of 59 cm. Both pucks stick together post-collision and spin around their center of mass. The moment of inertia for each puck is defined as I = 1/2 m R^2, and the angular momentum is calculated using the formula L = Iω, where ω is derived from the linear velocity divided by the radius.

PREREQUISITES
  • Understanding of angular momentum and its calculation
  • Familiarity with the concept of moment of inertia
  • Knowledge of linear momentum and its relation to angular momentum
  • Basic principles of collisions in physics
NEXT STEPS
  • Calculate the angular momentum before the collision using L = Iω
  • Explore the concept of center of mass in multi-body systems
  • Learn about conservation of angular momentum in collisions
  • Study the effects of different collision types on angular momentum
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and angular momentum, as well as educators looking for practical examples of collision dynamics.

shangri-la89
Messages
5
Reaction score
0

Homework Statement


A small puck of mass 36 g and radius
25 cm slides along an air table with a speed
of 1.9 m/s. It makes a glazing collision with a
larger puck of radius 59 cm and mass 85 g (ini-
tially at rest) such that their rims just touch.
The pucks stick together and spin around af-
ter the collision.
Note: The pucks are disks which have a
moments of inertia equal to 1/2mR^2.
What is the angular momentum of the sys-
tem relative to the center-of-mass after the
collision? Answer in units of kgm2/s.


Homework Equations


L=Iw
w=V/r
Torque=I*alpha
L=RxP


The Attempt at a Solution


To be honest I have no idea. I tried several obviously ill-fated attempts. I have found the center of mass, and I know that it has to do with crossing the initial linear momentum with the new radius... I think...

Any help would be greatly appreciated.
 
Physics news on Phys.org
Welcome to PF!

Hi shangri-la89! Welcome to PF! :smile:

(have an alpha: α and an omega: ω and try using the X2 tag just above the Reply box :wink:)

(oh, and it's a grazing collision … a glazing collision is when you walk into a glass door! :biggrin:)

What is the angular momentum of the system before the collision?
 

Similar threads

  • · Replies 17 ·
Replies
17
Views
1K
Replies
335
Views
17K
  • · Replies 71 ·
3
Replies
71
Views
5K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
23
Views
2K
Replies
7
Views
3K
  • · Replies 5 ·
Replies
5
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
5K
Replies
9
Views
3K