- #31
songoku
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I think I can do the rest. Thank you very much for all the help BvU, haruspex, jbriggs444
Motion of a spool of thread on an inclined plane related to inertia
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SUMMARY
The discussion centers on the motion of a spool of thread on an inclined plane, specifically addressing the dynamics of rolling and the equations of torque involved. The spool rolls down the incline while rotating counterclockwise, and confusion arises regarding the correct pivot point for calculating torque. The participants clarify that taking the center of the spool as the pivot only accounts for tension, while using the bottom contact point includes both tension and weight in the torque equation. The correct equations for torque are established as mg sin θ . R - T .(R + r) = I . α and T.r = I . a/R, emphasizing the relationship between angular acceleration and linear acceleration.
PREREQUISITES- Understanding of rotational dynamics and torque equations
- Familiarity with Newton's laws of motion
- Knowledge of angular acceleration and its relationship to linear acceleration
- Ability to draw and interpret free body diagrams (FBD)
- Study the relationship between angular acceleration (α) and linear acceleration (a) in rolling motion
- Learn about the implications of pivot points in torque calculations
- Explore the effects of friction on the motion of rolling objects
- Investigate the dynamics of systems involving tension and rotational motion
Physics students, mechanical engineers, and anyone interested in understanding the principles of rotational motion and torque in inclined planes.
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