Separating the wheel from the cylinder in the free body diagrams makes so much sense. I can see how the idler reacts against the cylinders motion
Redoing the previous calculation:
$$\sum...
Thank you for pointing that out, I corrected my free body diagram.
$$\sum_{}^{}\tau=\mathrm{I}_{cylinder}^{}*\mathrm{\alpha}_{cylinder}^{}-\mathrm{f}_{i}^{}*R-\mathrm{f}_{d}^{}*R=0$$
$$\implies\mathrm{f}_{d}=0.036 lbf$$
Now the static analysis:
$$\sum...
When I say roller I'm referring to the devices that are supporting the cylinder. Each roller has two wheels and there would be two or three rollers to support the cylinder. My idea is to have only one wheel on one roller powered to produce rotation on the cylinder
The materials for the wheels...
Ok I am tracking.
$$\sum_{}^{}\tau=\mathrm{I}_{cylinder}^{}*\mathrm{\alpha}_{cylinder}^{}+\mathrm{f}_{i}^{}*R+\mathrm{f}_{d}^{}*R=0$$
Then I can solve for ##f_d## :
$$\mathrm{f}_{d}^{} = \frac{\mathrm{I}_{cylinder}^{}*\mathrm{\alpha}_{cylinder}-\mathrm{f}_{i}*R}{R}$$
$$...
Ok based on what you said I believe this is correct. So now I know the frictional force at the idler. I can now sum the forces on the idler to find the normal force of the idler on the cylinder?
I could then find each force and thus find the torque required at the driving wheel. Is my thought...
Here is my attempt at the static analysis. I am not sure how to determine the angles that the friction force of the rollers acts on the cylinder. Would it also just be 45 degrees?
Hmm for my application it isn't necessarily important but just for the sake of understanding the math say the cylinder should start from rest and accelerate to 0.5 rad/s in 3 seconds. Could you provide direction on how to calculate the friction coefficient to achieve that amount of acceleration?
Hi all. Let me preface this by saying that I have no formal education in physics so I apologize if there is any information that I left out. Please comment with questions and I will try to answer them to the best of my ability.
The cylinder has a mass of 30 lb, is 6 feet long, and has a...