Reaction force to resist rotation

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SUMMARY

The discussion focuses on calculating the reaction force at the point of rotation for an object with a mass of 75,000 kg traveling at 0.2 m/s, impacting a fixed point 3.5 m from its center of gravity. Key equations mentioned include momentum (p = m x v) and rotational velocity (v = w x r), where w is the rotational velocity in radians per second. The participants emphasize the need to connect these equations to determine the reaction force post-impact.

PREREQUISITES
  • Understanding of momentum and its equations (p = m x v)
  • Knowledge of rotational motion principles (v = w x r)
  • Familiarity with angular velocity and frequency relationships (w = 2 x pi x f)
  • Basic concepts of force and time in physics (force f = p / t)
NEXT STEPS
  • Research the calculation of reaction forces in rotational dynamics
  • Learn about the conservation of momentum in collision scenarios
  • Study the application of torque in rotational motion
  • Explore advanced topics in rigid body dynamics and impact analysis
USEFUL FOR

Physics students, mechanical engineers, and anyone involved in dynamics and rotational motion analysis will benefit from this discussion.

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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