With a contributing video from you, which inspired this one, if I may add ;).A.T. said:Steve Mould made a follow up video
I was a much younger man then. I don't even rmember the original thread. Guess I"ve got some reviewing to do...A.T. said:This is what I was trying to explain to @sophiecentaur and @DaveC426913 in the old thread:
https://www.physicsforums.com/threads/marble-spiralling-inside-a-cylinder.521152/post-3470602
The video demonstrates the motion of a marble as it spirals down the inner surface of a cylindrical container. It explores the physics behind the marble's trajectory, including concepts such as centripetal force, friction, and angular momentum.
The video illustrates several key scientific principles, including Newton's laws of motion, centripetal force, friction, gravity, and conservation of angular momentum. It shows how these forces interact to influence the marble's path as it spirals inside the cylinder.
The marble spirals due to the initial tangential velocity it has when it starts moving. As it moves along the inner surface of the cylinder, the wall exerts a centripetal force that constantly changes the marble's direction, causing it to follow a spiral path rather than falling straight down.
Friction between the marble and the inner surface of the cylinder slows down the marble's motion over time. It converts some of the marble's kinetic energy into heat, causing the marble to gradually lose speed and eventually come to a stop if the cylinder is long enough.
Yes, the spiral motion of the marble can be mathematically modeled using equations of motion that account for forces such as gravity, friction, and centripetal force. Differential equations can be used to describe the marble's velocity and position as functions of time, providing a detailed understanding of its trajectory.