The Counterintuitive Physics of Tugging a Thread

TLDRWhen you tug a thread, the spool rolls towards you and the thread gets shorter. As the spool fills up with rope, the mechanical advantage increases. When the spool is nearly full, the rope is pulled away from your hands. Pulling the rope upwards makes the spool roll away and the rope gets longer. The magic angle is where the force passes through the pivot point and the spool doesn't roll. In the limit as the spool tends towards being empty or infinitely full, interesting phenomena occur.

Key insights

🧵Tugging a thread causes the spool to roll towards you and the thread to get shorter.

🔒As the spool fills up with rope, the mechanical advantage increases.

👋When the spool is nearly full, the rope is pulled away from your hands.

↗️Pulling the rope upwards makes the spool roll away and the rope gets longer.

🔮The magic angle is where the force passes through the pivot point and the spool doesn't roll.

Q&A

Why does the spool roll towards you when you tug the thread?

When you tug the thread, the force applied causes the spool to roll towards you in the same direction as the force.

Why does the mechanical advantage increase as the spool fills up?

As the spool fills up, the radius of the rope decreases, resulting in a higher mechanical advantage.

What happens when the spool is nearly full?

When the spool is nearly full, the rope is pulled away from your hands as the spool rolls quickly.

Why does pulling the rope upwards make the spool roll away?

Pulling the rope upwards changes the angle at which the force is applied, causing the spool to roll away from you.

What is the magic angle?

The magic angle is the angle at which the force passes through the pivot point, resulting in no rolling motion of the spool.

Timestamped Summary

00:00When you tug a thread, the spool rolls towards you and the thread gets shorter.

01:30As the spool fills up with rope, the mechanical advantage increases.

02:30When the spool is nearly full, the rope is pulled away from your hands.

04:40Pulling the rope upwards makes the spool roll away and the rope gets longer.

06:20The magic angle is where the force passes through the pivot point and the spool doesn't roll.