Reaction force to resist rotation

In summary, the problem involves an object with a mass of 75,000kg traveling at a speed of 0.2m/s. Upon impact with a fixed point at a distance of 3.5m from its center of gravity, the object begins to rotate around this point. The question is asking for the reaction force at the point of rotation. Relevant equations include momentum (p = m x v) and rotational velocity (v = w x r), where w is the rotational velocity (rads/s) and r is the radius (3.5m in this case). It is also helpful to know that w = 2 x pi x f (frequency) and force (f) = p / t (time).
  • #1
MillyTheCat
4
0

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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  • #2
So the object and the rotated mass are both 75,000kg?
 
  • #3
Yep that's correct. The object has a mass of 75,000kg and it rotates.
 
  • #4
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:
  • #5
Hello Nidum, yes that is also all correct information. But any suggestions on what equations to use to calculate the reaction force?
 
  • #6
So, any tips on what equations to use or how to solve? :)
 

What is reaction force to resist rotation?

Reaction force to resist rotation is the force exerted by a body in response to an applied torque, in order to maintain its position and prevent rotational motion.

How does reaction force to resist rotation differ from other types of forces?

Unlike other types of forces, such as linear or radial forces, reaction force to resist rotation acts tangentially to the point of rotation and is perpendicular to the applied force.

What factors affect the magnitude of reaction force to resist rotation?

The magnitude of reaction force to resist rotation is determined by the magnitude of the applied torque, the distance from the point of rotation to the point of application of the force, and the angle between the applied force and the lever arm.

Why is an understanding of reaction force to resist rotation important in engineering and physics?

Reaction force to resist rotation is important in designing and analyzing structures and machines that involve rotational motion, such as gears, pulleys, and levers. It also plays a crucial role in understanding the principles of equilibrium and stability in physics.

Can reaction force to resist rotation be controlled or manipulated?

Yes, reaction force to resist rotation can be controlled and manipulated by changing the magnitude or direction of the applied force, altering the distance from the point of rotation, or changing the angle between the applied force and the lever arm.

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