Rotational Motion and rotational dynamics

You exert a force on a friend who is holding a
4.0-m-long rope. Now suppose you exert the same force on your friend, but the friend is holding an
8.0-m-long rope. How will this affect the rotational acceleration?

• It will be quartered
• It will be halfed
• It will double
• It will quadruple

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

A solid sphere, solid cylinder, and a hollow pipe all have equal masses and radii. If the three of them are released simultaneously at the top of an inclined plane and do not slip, which one will reach the bottom first?

• cylinder
• pipe
• sphere
• They all reach the bottom at the same time.

Tags

NGSS.HS-PS2-1

Which has greater angular speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?

• The inside horse
• The outside horse
• Neither - they both have the same angular speed

A person sits on a freely spinning lab stool that has no friction in its axle. When this person extends her arms,

• her moment of inertia increases and her angular speed decreases.
• her moment of inertia decreases and her angular speed increases.
• her moment of inertia increases and her angular speed increases.
• her moment of inertia increases and her angular speed remains the same.

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.

Tags

NGSS.MS-ETS1-1

NGSS.MS-ETS1-2

NGSS.MS-ETS1-3

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 the translational velocity of an object is 3 m/s, and is located a distance of 2 m from the axis of rotation, what is the object's angular velocity?

• 0.67 rad/s
• 1.5 rad/s
• 5 rad/s
• 6 rad/s