Angular momentum using unit-vector notation

Click For Summary
SUMMARY

The discussion focuses on calculating angular momentum and torque for a 0.25 kg object subjected to a force of 4.0j N. The position vector is given as (2.0t - 2.0k) m, and the velocity vector is (-5.0i + 5.0k) m/s. The angular momentum is determined using the cross product formula l = r × p, where r is the position vector and p is the momentum vector. The torque is calculated using the formula Torque = (Yz-Zy)+(Zx-Xz)+(Xy-Yx).

PREREQUISITES
  • Understanding of unit-vector notation in physics
  • Familiarity with cross product operations
  • Knowledge of torque and angular momentum concepts
  • Basic proficiency in vector mathematics
NEXT STEPS
  • Study the principles of angular momentum in classical mechanics
  • Learn about the application of cross products in physics
  • Explore torque calculations in various physical systems
  • Investigate the relationship between force, mass, and acceleration
USEFUL FOR

Students in physics, particularly those studying mechanics, as well as educators and anyone interested in understanding angular momentum and torque calculations using unit-vector notation.

maxalador
Messages
25
Reaction score
0

Homework Statement



At one instant, force F: 4.0j N acts on a 0.25 kg object that has position^vector^V : (2.0t - 2.0k) m and velocity vector /: (-5.0i + 5.0k) m/s. About the origin and in unit- vector notation, what are (a) the object's angular momentum and (b)the torque acting on the object

m = .25kg
f = (4.0 N)j
v = (-5i + 5k)

Homework Equations



Torque = (Yz-Zy)+(Zx-Xz)+(Xy-Yx)
KE= 1/2mv^2 + 1/2lw^2

The Attempt at a Solution



A) not quite sure where to start with A

B) (2i + 4j -2k)*(-5i + 4j +5k)
((4*-2)-(5*4)) - ((-2*5)-(-5*-4))-((2*4)-(4*2))
 
Physics news on Phys.org
Just remember that angular momentum is given by:$$\stackrel{\rightarrow}{l} = \stackrel{\rightarrow}{r} \times \stackrel{\rightarrow}{p}$$ So finding it just means doing another cross product.
 
Last edited:
  • Like
Likes   Reactions: 1 person

Similar threads

Replies
335
Views
17K
Replies
10
Views
3K
  • · Replies 9 ·
Replies
9
Views
1K
Replies
14
Views
3K
Replies
7
Views
3K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 5 ·
Replies
5
Views
6K
  • · Replies 5 ·
Replies
5
Views
6K
  • · Replies 5 ·
Replies
5
Views
2K