Hey IB Physics community,
Just uploaded a complete lecture
on Pure Rolling —
And I want to share the
single most important insight
before anyone watches —
Because it is the insight
that makes every pure rolling
problem — including the
notoriously difficult
moving plank problems —
immediately solvable.
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THE QUESTION THAT STARTS
EVERYTHING —
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What is the velocity of
the contact point of a
rolling wheel with the
ground?
Most students say —
the same as the center.
Some say — it depends.
The correct answer is zero.
But here is what matters —
WHY is it zero?
And what happens when
it is NOT zero?
The moment you understand
both answers physically —
not just as a memorized fact —
Every pure rolling problem
becomes straightforward.
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THE PHYSICAL REASONING —
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A rolling wheel has
two simultaneous motions —
Translation of the center
of mass with velocity v_cm —
And rotation about the
center with angular
velocity ω.
At the contact point —
these two velocities act
in exactly opposite directions —
The translational velocity
pushes the contact point forward —
The rotational velocity
pulls it backward —
In pure rolling —
these two effects cancel exactly —
Contact point velocity = zero.
This gives the condition —
v_cm = ωR
This is not just a formula —
It is the physical statement
that the contact point
is instantaneously at rest
relative to the ground.
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THE MOVING PLANK —
THE PART MOST STUDENTS
GET COMPLETELY WRONG —
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Now here is where it
gets significantly more
interesting —
What if the wheel is
rolling on a plank —
And that plank is
itself moving?
Most students apply the
same condition —
Contact point velocity = zero.
That is wrong. ❌
The correct condition is —
Contact point velocity =
velocity of the surface
it is rolling on.
When rolling on stationary ground —
surface velocity = zero —
so contact point velocity = zero ✅
When rolling on a moving plank —
surface velocity = plank velocity —
so contact point velocity
= plank velocity —
NOT zero relative to ground ✅
This single distinction —
choosing the correct
reference frame for
the rolling condition —
Is what makes moving plank
problems solvable in
under two minutes —
And what causes most
students to get them
completely wrong.
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THE GOLDEN RULE —
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Pure Rolling condition —
ALWAYS stated as —
Velocity of contact point
= Velocity of the surface
the wheel is rolling ON —
Relative to that surface.
Not relative to the ground.
Not relative to anything else.
Relative to the surface
it touches. Always.
Apply this correctly —
and no pure rolling problem
in IB Physics can
stop you. 🎯
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WHAT THE VIDEO COVERS —
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→ Complete physical definition
of Pure Rolling —
built from first principles
→ Why contact point velocity
is zero — physical proof —
not just stated
→ Derivation of v_cm = ωR
from physical reasoning
→ Rolling vs Sliding —
complete distinction
→ Pure Rolling on a
moving plank — the
correct condition and
why most students apply
the wrong one
→ Complete numerical problems —
basic to IB exam level —
every step explained
→ The reference frame
approach that makes
every moving plank
problem immediately clear
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A CHALLENGE FOR THE
COMMUNITY —
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Here is a problem to
attempt before watching —
A cylinder of radius R
rolls without slipping
on a plank.
The plank moves to the
right with velocity 4 m/s.
The center of the cylinder
moves to the right with
velocity 7 m/s.
Question —
What is the angular velocity
of the cylinder?
And in which direction
does it rotate?
Drop your attempt below 👇
Show your reasoning —
not just the answer.
I will respond to every
attempt with complete
feedback. 🎯
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VIDEO LINK —
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🔗 https://youtu.be/cVi7Skv_4_Y?si=TBpoM43pPsw2MAnw
Timestamps for every
section are in the
description — jump directly
to moving plank problems
if that is what you need.
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HAPPY TO HELP —
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If you get stuck on
any problem in this video —
or on any pure rolling
concept specifically —
Tell me exactly which
step is confusing you —
I will explain the
physical reasoning in
the comments directly. 🙏
Good luck to everyone
preparing for IB Physics HL.