Rotational motion inelastic collision

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Homework Help Overview

The problem involves a ball of clay colliding with a disk in a totally inelastic collision, leading to rotational motion. The discussion centers on determining the final angular speed of the combined system after the collision, considering both a direct tangential impact and an angled impact.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the conservation of momentum and angular momentum principles, questioning the validity of the equations presented by the original poster. There is a focus on understanding the implications of the collision type and the angles involved.

Discussion Status

Some participants have offered guidance on considering fundamental physical laws related to momentum and angular momentum. There is an ongoing exploration of the relevant equations and their application to the problem, with no explicit consensus reached on the correctness of the original poster's approach.

Contextual Notes

There is uncertainty regarding the correctness of the equations used by the original poster, and participants are discussing the need for a deeper understanding of the physical laws governing the scenario.

kirafreedom
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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
 
Physics news on Phys.org
If you are unsure about a formula - try using physics.
What are the laws that the motion has to follow?
 
what do u mean? Newtons law?
 
You know a whole bunch of physical laws besides Newton's ones.
How many do you know that concern angular momentum and momentum?
 

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