Rotational motion inelastic collision

[kirafreedom]

Homework Statement

A ball of clay of mass m travels with velocity v in a path tangent to a disk of radius R and mass M. The clay collides with the disk tangentially to its outer rim ( a totally inelastic collision) and the clay and disk begins to spin about the axis.
a) What is the final angular speed of the clay and disk ( don't forget to include the mass m after the collision.
b) if the clay had collided with the rim at an angle of 30° to the tangent line what would the final angular speed be then

Homework Equations

v'b=v'a
va=v'acosθ+v'bcosθ

The Attempt at a Solution

a)
mva=mv'acosθ+mv'bcosθ
0=mv'asinθ+mv'bsinθ

v'b=-va(sinθ/sin(-θ))
v'a=v'b
=va/2cosθ

b) I am not sure without knowinif the formula above is correct

 

[Simon Bridge]

If you are unsure about a formula - try using physics.
What are the laws that the motion has to follow?

 

[kirafreedom]

what do u mean? Newtons law?

 

[Simon Bridge]

You know a whole bunch of physical laws besides Newton's ones.
How many do you know that concern angular momentum and momentum?

 

[Nickie]

.

I would first clarify the problem and make sure all the given information is accurate. I would also check if the equations used are applicable to rotational motion and inelastic collisions. If they are, then I would proceed with solving the problem by plugging in the given values and solving for the final angular speed. If the equations are not applicable, I would research and find the correct equations to use. Additionally, I would also consider the conservation of energy and momentum in the collision and incorporate those principles into the solution. Once I have calculated the final angular speed, I would double-check my calculations and provide a clear and concise answer with appropriate units. If there are any additional questions or uncertainties, I would communicate them in my response and suggest further investigation.