Newton’s law of motion for rotation clarification

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Homework Help Overview

The discussion revolves around understanding Newton's laws of motion in the context of rotational dynamics, specifically focusing on the variables Beta and Tmax in a given problem. Participants are attempting to clarify the meanings and calculations associated with these variables.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are questioning the definitions and calculations of Beta and Tmax, with some attempting to derive values based on provided thrust information. There is also inquiry into the implications of thrust values and their relationship to maintaining height.

Discussion Status

The discussion is ongoing, with participants sharing their interpretations and calculations. Some guidance has been offered regarding the relationships between thrust and torque, but no consensus has been reached on the values or their implications.

Contextual Notes

There are mentions of specific values and equations that are not fully defined, leading to uncertainty about the calculations. Participants are also considering the implications of total thrust required to maintain height, indicating potential constraints in the problem setup.

Luchekv
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Hey guys,
I'm trying to work through a question but the solution we have been given is extremely vague. I can't seem to figure out what any of the values such as Beta or Tmax are. If I knew how to work those two out, I'm sure I'd be fine from there...

See attached image.

Thanks in advance
 

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Luchekv said:
Hey guys,
I'm trying to work through a question but the solution we have been given is extremely vague. I can't seem to figure out what any of the values such as Beta or Tmax are. If I knew how to work those two out, I'm sure I'd be fine from there...

See attached image.

Thanks in advance
It looks like T is the thrust from each motor, so ##T_{max}## would be the maximum thrust. And from Newton's 2nd law for rotation, Torque = I*alpha, you should be able to deduce what Beta is.
 
Well seeing as T1 is Tmax...(8N) I get Beta as 888.889...Not sure if it means both T1 and T2. Also what would be the value of t in the second equation at the bottom?
 
Luchekv said:
Well seeing as T1 is Tmax...(8N) I get Beta as 888.889...Not sure if it means both T1 and T2.
Careful. What must the total thrust be so as to maintain the height? Also, what value of d are you using?

Luchekv said:
Also what would be the value of t in the second equation at the bottom?
The purpose of that equation is to solve for ##t_1##.
 

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