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MoI Tutorial
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How to Calculate the Moment of Inertia
How to Calculate the Moment of Inertia
What isMoment of Inertia?
What isMoment of Inertia?
Consider a mass on the end of a massless rod, rotating in uniform circular motion:
What isMoment of Inertia?
Consider a mass on the end of a massless rod, rotating in uniform circular motion:
×
What isMoment of Inertia?
Consider a mass on the end of a massless rod, rotating in uniform circular motion:
×r
What isMoment of Inertia?
Consider a mass on the end of a massless rod, rotating in uniform circular motion:
m
×r
What isMoment of Inertia?
Consider a mass on the end of a massless rod, rotating in uniform circular motion:
v
m
×r
What isMoment of Inertia?
Consider a mass on the end of a massless rod, rotating in uniform circular motion:
v = rω
m
×r
What isMoment of Inertia?
Consider a mass on the end of a massless rod, rotating in uniform circular motion:
v = rω
m
×r
What isMoment of Inertia?
Consider a mass on the end of a massless rod, rotating in uniform circular motion:
v = rω
m
×r
What isMoment of Inertia?
Consider a mass on the end of a massless rod, rotating in uniform circular motion:
v = rω
m
×r
What isMoment of Inertia?
Consider a mass on the end of a massless rod, rotating in uniform circular motion:
v = rω
m
×r
What isMoment of Inertia?
Consider a mass on the end of a massless rod, rotating in uniform circular motion:
v = rω
m
×I = moment of inertia = mr2r
What isMoment of Inertia?
Consider two masses on the ends of a massless rod, rotating in uniform circular motion:
What isMoment of Inertia?
Consider two masses on the ends of a massless rod, rotating in uniform circular motion:
×
What isMoment of Inertia?
Consider two masses on the ends of a massless rod, rotating in uniform circular motion:
×r
r
What isMoment of Inertia?
Consider two masses on the ends of a massless rod, rotating in uniform circular motion:
m
×r
r
m
What isMoment of Inertia?
Consider two masses on the ends of a massless rod, rotating in uniform circular motion:
v
m
×r
r
m v
What isMoment of Inertia?
Consider two masses on the ends of a massless rod, rotating in uniform circular motion:
v = rω
m
×r
r
m v = rω
What isMoment of Inertia?
Consider two masses on the ends of a massless rod, rotating in uniform circular motion:
v = rω
m
×r
r
m v = rω
What isMoment of Inertia?
Consider two masses on the ends of a massless rod, rotating in uniform circular motion:
v = rω
m
×r
r
m v = rω
What isMoment of Inertia?
Consider two masses on the ends of a massless rod, rotating in uniform circular motion:
v = rω
m
×r
r
m v = rω
What isMoment of Inertia?
Consider two masses on the ends of a massless rod, rotating in uniform circular motion:
v = rω
m
×
I = moment of inertia =mr2 + mr2r
r
m v = rω
What isMoment of Inertia?
What isMoment of Inertia?
Moment of Inertia is a rotational analog of mass
What isMoment of Inertia?
Moment of Inertia is a rotational analog of mass
Moment of Inertia depends on how mass is distributed about
an axis of rotation
What isMoment of Inertia?
Moment of Inertia is a rotational analog of mass
Moment of Inertia depends on how mass is distributed about
an axis of rotation