kuruman said:
Starting with the angular momentum is not a bad idea depending on what you do next. I would write ##\vec L(t)=m \vec r(t)\times \vec v(t)## first. Then I would find the position and velocity vectors as functions of time and form the cross product.LCSphysicist said:
You might find the section "Relation between the accelerations in the two frames" here extremely useful. All you have to do is pretend that in the non-inertial frame the fictitious forces are real and solve the appropriate differential equation to find the position and velocity as functions of time.LCSphysicist said:
Angular momentum is a physical quantity that describes the rotational motion of an object. It is a vector quantity that is defined as the product of an object's moment of inertia and its angular velocity.
In a rotating disc, the angular momentum is directly proportional to the disc's moment of inertia and its angular velocity. This means that as the moment of inertia or the angular velocity increases, so does the angular momentum.
The conservation of angular momentum states that the total angular momentum of a system remains constant unless an external torque is applied. This means that in a closed system, the initial angular momentum will be equal to the final angular momentum.
According to the equation for angular momentum (L = Iω), as the angular velocity of a rotating disc changes, its angular momentum also changes. If the angular velocity increases, the angular momentum will increase and vice versa.
The angular momentum of a rotating disc can be calculated using the equation L = Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity. The moment of inertia can be calculated using the mass distribution and the axis of rotation of the disc.