Mass Impact on Hinged Rod: Single Plane Explained

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Homework Help Overview

The discussion revolves around the dynamics of a mass impacting a hinged rod and the subsequent motion of the system. The focus is on understanding the implications of motion being confined to a single plane and the relevance of this condition to concepts like angular momentum.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are exploring the meaning of "single plane" in the context of the motion of the hinged rod and the mass. Questions arise regarding whether this relates to coordinate systems or conservation laws. Some are attempting to clarify how the motion is defined in relation to the hinge and angular momentum.

Discussion Status

There is ongoing exploration of the concept of motion in a single plane, with some participants providing explanations about the nature of the motion and its geometric implications. However, there is still confusion among some participants regarding the necessity of this consideration and its implications for momentum.

Contextual Notes

Participants are grappling with the definitions and assumptions related to the motion of hinged objects, particularly in terms of how these relate to angular and linear momentum. There may be a lack of clarity regarding the specific conditions under which these principles apply.

captainjack2000
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1. A mass is hitting the end of a hinged rod. After impact they begin to rotate.
The motion is then confined to a single plane. why? what plane?

3. I am a bit confused by what they mean by a single plane. Are they saying that there are only x,y coordinates? Is this just a condition for the conservation of angular momentum or a reason why linear momentum cannot apply?
 
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The motion of any point on a hinged object is always confined to a single plane in the lab-frame. This is the plane that is normal to the axis provided by the hinge.

Consider, for example, the motion of the keyhole on a door, as the door rotates.
 
I'm sorry but I still don't understand why it has to be considered in the single plane?
 
The motion of the mass and the rod is a circle. Circle lies in a place, perpendicular to the angular momentum vector of the objects moving round the hinge... I think
 

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