Acceleration of a Spindle System with Two Disks and a Solid Axle

AI Thread Summary
To find the acceleration of a spindle system with two disks and a solid axle, consider the dynamics of both spindles: one unwinding and the other winding a string. The presence of static friction ensures that the spindle rolls without slipping, which is crucial for calculating acceleration. The moment of inertia of the disks and the torque generated by the tension in the string must be analyzed to derive the equations of motion. Applying Newton's second law and rotational dynamics will yield the necessary acceleration for both instances. Detailed calculations and specific formulas can be found in the linked response for further clarification.
cpuwildman
Messages
10
Reaction score
0
spindleb.jpg


How would I find the acceleration of the above spindles (both left and right instances)? The spindles are composed of two disks with a cylindrical solid axle. The left spindle is unwinding the string as it rolls and the right spindle is winding the string as it rolls. Static friction is present and the spindle rolls without slipping. Any help would be greatly appreciated.
 
Physics news on Phys.org
See my response in the College Level help forum:
https://www.physicsforums.com/showthread.php?s=&postid=168930#post168930
 

Thread 'Is calling fictitious forces "not real" just about terminology?'

Hi there, im studying nanoscience at the university in Basel. Today I looked at the topic of intertial and non-inertial reference frames and the existence of fictitious forces. I understand that you call forces real in physics if they appear in interplay. Meaning that a force is real when there is the "actio" partner to the "reactio" partner. If this condition is not satisfied the force is not real. I also understand that if you specifically look at non-inertial reference frames you can...
View full post »

Thread 'Derivation of Hamilton's Principle: Questions'

I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...
View full post »

Similar threads

B Rolling Motion Test: Take the Challenge and Justify Your Answers
Replies
37
Views
4K
I Equation of motion for a simple mechanical system
Replies
2
Views
2K
I Help me resolve this apparent paradox
Replies
20
Views
2K
Rolling friction and static friction....
Replies
2
Views
2K
How Is the Accelerating Force Resolved at the Axle of a Wheel?
Replies
3
Views
2K
Solving Yo-Yo Force Problem: Find Acceleration & Friction Force
Replies
1
Views
3K
Finding Acceleration of Spindles with Friction
Replies
4
Views
3K
The Yo-yo problem: Please help.
Replies
6
Views
3K
Work is not done by static friction when accelerating a car
Replies
7
Views
2K
Acceleration of system related to rolling motion and pulley
Replies
35
Views
4K

Hot Threads

Recent Insights

Back
Top