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