Moment of Inertia

The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis perpendicular to the plane of the drawing at point P?

• A
• B
• C
• rotational inertiaD

Two uniform solid balls, one of radius R and mass M, the other of radius 2R and mass 8M, roll down a high incline. They start together from rest at the top of the incline. Which one will reach the bottom of the incline first?

• The small sphere arrives first.
• The large sphere arrives first.
• Both reach the bottom at the same time.

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The moment of inertia:

• is synonymous with mass
• does not depend on where the mass is located
• resistance to a change in rotational inertia
• more resistance to change = less inertia

Why is the car on the right more stable?

• Its center of mass is higher
  
• it has a wider base
• it has more height
• all of the above

Suppose you are designing an engineless car for a downhill coasting race. What type of wheels would be the best?

• Solid disks.

• Hoops.

• Hollow cylinders.

• Diamond encrusted triangles.

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NGSS.MS-ETS1-2

The drive chain in a bicycle is applying a torque of 0.850 N ∙ m to the wheel of the bicycle. You can treat the wheel as a thin uniform hoop (or ring) with a mass of 0.750 kg and a radius of 33.0 cm. What is the angular acceleration of the wheel?

• 10.4 rad/s²
• 3.43 rad/s²
• 5.20 rad/s²
• 1.06 rad/s²

In order to do a lot of flips an Olympic diver would want:

• A high rotational inertia
• A low rotational inertia
• A low linear acceleration
• A low angular velocity

What happens to his rotational inertia when a figure skater brings in his arms?

• Increase his rotational inertia
• Decrease his rotational inertia
• has no affect

The drive chain in a bicycle is applying a torque of 0.850 N ∙ m to the wheel of the bicycle. You can treat the wheel as a thin uniform hoop (or ring) with a mass of 0.750 kg and a radius of 33.0 cm. What is the angular acceleration of the wheel?

• 10.4 rad/s²
• 3.43 rad/s²
• 5.20 rad/s²
• 1.06 rad/s²

Tags

NGSS.HS-PS2-1

If a constant net torque is applied to an object, that object will_________

• A) rotate with constant linear velocity.

• B) having an increasing moment of inertia

• C) rotate with constant angular acceleration.

• D) having a decreasing moment of inertia.