Angular momentum of a rotating disc

[LCSphysicist]

Homework Statement

Torque

Relevant Equations

Coriolis force

"A smooth horizontal disc rotates with a constant angular velocity ω about a stationary vertical axis passing through its centre, the point O. At a moment t=0 a disc is set in motion from that point with velocity v0. Find the angular momentum M(t) of the disc relative to the point O in the reference frame fixed to the disc. Make sure that this angular momentum is caused by the Coriolis force."

 

[kuruman]

How about being a bit more specific and make a bit more of an effort.
What is the appropriate relevant equation? "Coriolis force" is not an equation.
In what direction is the velocity v0 of the disc?
How would you proceed to relate the Coriolis force to the angular momentum of the disc? FInding the torque in the rotating frame is a good start. What do you think should come next to find M(t)?
What about the centrifugal force?

 

[LCSphysicist]

How about being a bit more specific and make a bit more of an effort.
What is the appropriate relevant equation? "Coriolis force" is not an equation.
In what direction is the velocity v0 of the disc?
How would you proceed to relate the Coriolis force to the angular momentum of the disc? FInding the torque in the rotating frame is a good start. What do you think should come next to find M(t)?
What about the centrifugal force?

Do you think that starting with the angular momentum and then finding the torque is not a good idea? can the answer mislead me?
"What about the centrifugal force?" That's a good question, i just finished when i saw that the equation seems equal to the equation of coriolis force, but that's, indeed, is not a good justification.
I am trying to answer the other questions, its been hard to work in this reference frame.

 

[kuruman]

Do you think that starting with the angular momentum and then finding the torque is not a good idea? can the answer mislead me?

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.

"What about the centrifugal force?" That's a good question, i just finished when i saw that the equation seems equal to the equation of coriolis force, but that's, indeed, is not a good justification.
I am trying to answer the other questions, its been hard to work in this reference frame.

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.