Linear and Angular momentum

[foxjwill]

Homework Statement

Problem is attached.

Homework Equations

The Attempt at a Solution

I just can't remember how to translate linear momentum to angular momentum. I'm not sure how to apply conservation of momentum.

 

[Kushal]

i've not yet seen the attached file, it's not yet approved.

linear momentum = mv
now v = rw
w is angular velocity.

angular momentum = mrw

was that what you were asking?

 

[ogb p]

Linear momentum is a measure of an object's motion in a straight line, while angular momentum is a measure of an object's rotational motion. To translate between the two, you can use the equation L = Iω, where L is angular momentum, I is moment of inertia, and ω is angular velocity. This equation shows that an object's angular momentum is directly proportional to its moment of inertia and angular velocity.

To apply conservation of momentum, you must first identify all of the objects involved in the system and their initial and final velocities. Then, you can use the equation ∑p = m∑v, where ∑p is the total momentum of the system, m is the mass of each object, and ∑v is the total velocity of all objects. This equation states that the total momentum before an event must be equal to the total momentum after the event, as long as there are no external forces acting on the system. This principle can be applied to both linear and angular momentum, as long as the system is isolated and there are no external torques acting on it.