Newton’s law of motion for rotation clarification

[Luchekv]

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

 

[Doc Al]

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.

 

[Luchekv]

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?

 

[Doc Al]

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?

Also what would be the value of t in the second equation at the bottom?

The purpose of that equation is to solve for $t_1$.

 

[HalfLostAndSearching]

Hello,

I understand your confusion about the values of Beta and Tmax in the solution you were given. To clarify, Beta represents the angular acceleration (change in rotational speed) and Tmax represents the maximum torque (force causing rotation) in Newton's law of motion for rotation. These values are important in understanding the rotational behavior of a body.

To find the values of Beta and Tmax, you will need to use the equations for rotational motion, which relate these values to other known quantities such as the mass, radius, and moment of inertia of the body. I suggest reviewing these equations and plugging in the given values in order to solve for Beta and Tmax.

I hope this helps clarify the concept of Newton's law of motion for rotation. If you need further assistance, please don't hesitate to ask. Good luck with your question!