Finding the Cross Product for Angular Momentum

In summary, the conversation is discussing how to find the cross product for the angular momentum of a particle with a known mass and position and velocity vectors. The equation for angular momentum is L=mvr, and the solution involves finding the cross product of r and v and then multiplying it by the mass. A Google search for cross product can provide more information on how to find the solution.
  • #1
mrshappy0
99
0

Homework Statement


For the general case. I need help finding the cross product for the angular momentum. Say you have a particle at a position r= xi+yj+zk with a velocity of xi+yj+zk and a known mass. How do you find the angular momentum?


Homework Equations


L=mvr


The Attempt at a Solution



So I know how to find the cross product of r and v. It will be some xi+yj+zk. Then how do you find the angular momentum from there?
 
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  • #2
Do a Google search on cross product. Wikipedia will show you how.
 
  • #3
Since angular momentum is [itex] L = \vec{r} \times m\vec{v} [/itex] and you know how to find [itex] \vec{r} \times \vec{v} [/itex] just multiply by m
 

What is the cross product for angular momentum?

The cross product for angular momentum is a mathematical operation that calculates the vector product between two vectors, representing the rotational motion of a body. It is used to determine the direction and magnitude of the angular momentum of a rotating object.

How is the cross product for angular momentum calculated?

The cross product for angular momentum is calculated by taking the vector product of the position vector and the linear momentum vector of a rotating object. It can also be calculated by taking the vector product of the angular velocity and the moment of inertia of the object.

Why is the cross product for angular momentum important?

The cross product for angular momentum is important in physics and engineering as it helps us understand and calculate the rotational motion of objects. It is used in many applications, such as in the design of machines and vehicles that involve rotational motion.

What are the units of the cross product for angular momentum?

The units of the cross product for angular momentum are kilogram meters squared per second (kg·m2/s) in the SI system. In the imperial system, the units are pound foot squared per second (lb·ft2/s).

Can the cross product for angular momentum be negative?

Yes, the cross product for angular momentum can be negative. The direction of the angular momentum vector is determined by the right-hand rule, which means that it can be either positive or negative depending on the direction of rotation. A negative value indicates that the angular momentum is in the opposite direction of the positive value.

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