27
How to Calculate the Moment of Inertia

MoI Tutorial

Embed Size (px)

DESCRIPTION

MoI Tutorial

Citation preview

Page 1: MoI Tutorial

How to Calculate the Moment of Inertia

Page 2: MoI Tutorial

How to Calculate the Moment of Inertia

What isMoment of Inertia?

Page 3: MoI Tutorial

What isMoment of Inertia?

Consider a mass on the end of a massless rod, rotating in uniform circular motion:

Page 4: MoI Tutorial

What isMoment of Inertia?

Consider a mass on the end of a massless rod, rotating in uniform circular motion:

×

Page 5: MoI Tutorial

What isMoment of Inertia?

Consider a mass on the end of a massless rod, rotating in uniform circular motion:

×r

Page 6: MoI Tutorial

What isMoment of Inertia?

Consider a mass on the end of a massless rod, rotating in uniform circular motion:

m

×r

Page 7: MoI Tutorial

What isMoment of Inertia?

Consider a mass on the end of a massless rod, rotating in uniform circular motion:

v

m

×r

Page 8: MoI Tutorial

What isMoment of Inertia?

Consider a mass on the end of a massless rod, rotating in uniform circular motion:

v = rω

m

×r

Page 9: MoI Tutorial

What isMoment of Inertia?

Consider a mass on the end of a massless rod, rotating in uniform circular motion:

v = rω

m

×r

Page 10: MoI Tutorial

What isMoment of Inertia?

Consider a mass on the end of a massless rod, rotating in uniform circular motion:

v = rω

m

×r

Page 11: MoI Tutorial

What isMoment of Inertia?

Consider a mass on the end of a massless rod, rotating in uniform circular motion:

v = rω

m

×r

Page 12: MoI Tutorial

What isMoment of Inertia?

Consider a mass on the end of a massless rod, rotating in uniform circular motion:

v = rω

m

×r

Page 13: MoI Tutorial

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

Page 14: MoI Tutorial

What isMoment of Inertia?

Consider two masses on the ends of a massless rod, rotating in uniform circular motion:

Page 15: MoI Tutorial

What isMoment of Inertia?

Consider two masses on the ends of a massless rod, rotating in uniform circular motion:

×

Page 16: MoI Tutorial

What isMoment of Inertia?

Consider two masses on the ends of a massless rod, rotating in uniform circular motion:

×r

r

Page 17: MoI Tutorial

What isMoment of Inertia?

Consider two masses on the ends of a massless rod, rotating in uniform circular motion:

m

×r

r

m

Page 18: MoI Tutorial

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

Page 19: MoI Tutorial

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

Page 20: MoI Tutorial

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

Page 21: MoI Tutorial

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

Page 22: MoI Tutorial

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

Page 23: MoI Tutorial

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

Page 24: MoI Tutorial

What isMoment of Inertia?

Page 25: MoI Tutorial

What isMoment of Inertia?

Moment of Inertia is a rotational analog of mass

Page 26: MoI Tutorial

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

Page 27: MoI Tutorial

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