Angular motion of a weather vane. How fast is it spinning after impact (rpm)?

AI Thread Summary
The discussion revolves around calculating the angular motion of a weather vane after being struck by a snowball. The problem involves determining the vane's rotational speed in rpm following the impact, considering variables such as the mass and speed of the snowball and the distance from the end where it strikes. Participants express uncertainty about the nature of the collision—whether the snowball sticks, shatters, or bounces—and how this affects the calculations. Conservation of angular momentum is identified as a crucial principle for solving the problem. Understanding the collision type is essential for accurately applying the relevant physics equations.
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Homework Statement


A weather vane sits quietly on the roof of a barn on a calm winter's day. It has a length of x, is pole-shaped with mass M, and rotates frictionlessly about its center. But just now it is still.

Suddenly Justin throws a snowball of mass m at speed v that hits it a distance r from one end. How fast is the vane spinning (in rpm) after the impact?


Homework Equations





The Attempt at a Solution


I am not really sure how to approach and set up this problem. please help!
 
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We don't know if the snowball hits and sticks to the rod in part or in whole, or if it shatters, or if it bounces (elastically). So it's not clear how we should treat the collision.

Whatever the answer to the above is, it looks like conservation of angular momentum will play a key role.
 
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