Reaction force to resist rotation

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Discussion Overview

The discussion revolves around calculating the reaction force at the point of rotation for an object with a specified mass and velocity that impacts a fixed point. The focus is on the application of momentum and rotational dynamics concepts, with participants exploring relevant equations and their interconnections.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant presents the problem statement, noting the object's mass, velocity, and distance from the center of gravity to the point of impact.
  • Another participant confirms the mass of the object and its rotational behavior.
  • A clarification is provided regarding the motion of the object prior to impact, indicating it moves horizontally with its long axis vertical and without gravity acting on it.
  • Participants express uncertainty about which equations to apply to calculate the reaction force and seek suggestions for linking momentum and rotational equations.

Areas of Agreement / Disagreement

Participants generally agree on the details of the problem setup, including the mass and motion of the object. However, there is no consensus on the specific equations or methods to use for calculating the reaction force, leaving the discussion unresolved.

Contextual Notes

Participants have not yet established the necessary assumptions or dependencies on definitions related to the equations of motion and rotational dynamics. There are unresolved steps in linking the various equations presented.

MillyTheCat
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Homework Statement


There is a object traveling at 0,2m/s with a mass of 75,000kg. The object impacts a fixed point at a distance of 3.5m from its center of gravity (COG) and rotates around this point. What is the reaction force at the point of rotation?

Homework Equations


I think it is something to do with momentum and rotational velocity equations. p = m x v and v = w x r, where w = rotational velocity (rads / s) and r = radius = 3.5m in this case. I know that w = 2 x pi x f (f = frequency) and force f = p / t (where t = time). But I'm not sure how to link it all together.

The Attempt at a Solution


So far the equations are all I have... applying rotational velocity to a momentum equation... how do I do that?
Diagram.PNG
 
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So the object and the rotated mass are both 75,000kg?
 
Yep that's correct. The object has a mass of 75,000kg and it rotates.
 
What the problem actually says is that the object as depicted by the blue rectangle is moving free until a point on the lower section impacts onto the corner of a fixed rigid block .

Implied is that before impact the object is moving on a horizontal path with it's long axis vertical and that there is no gravity force acting .
 
Last edited:
Hello Nidum, yes that is also all correct information. But any suggestions on what equations to use to calculate the reaction force?
 
So, any tips on what equations to use or how to solve? :)
 

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