Understanding Rotational and Translational Motion

What is the relationship between the distance traveled by a point on the rim and the angular displacement?

• Distance equals angular displacement divided by radius

• Distance equals angular displacement squared

• Distance equals radius divided by angular displacement

• Distance equals angular displacement times radius

When an object rolls without slipping, how does the distance traveled by the center axis compare to the distance traveled by a point on the rim?

• The center axis travels half the distance

• They are equal

• The center axis travels twice the distance

• The point on the rim travels twice the distance

What happens to the velocities of points on the rim if the object only rotates about a fixed center axis?

• Only the lowest point has velocity

• Only the highest point has velocity

• All points have the same velocity

• All points have different velocities

How is the total velocity of a point on the rim determined when the object undergoes both rotational and translational motion?

• By dividing the translational velocity by the rotational velocity

• By subtracting the translational velocity from the rotational velocity

• By adding the translational and rotational velocities as vectors

• By multiplying the translational velocity by the rotational velocity

What is the velocity of the lowest point on the rim when the object rolls without slipping?

• Equal to the center axis velocity

• Twice the center axis velocity

• Zero

• Half the center axis velocity

How does the velocity of a point on the rim relate to its path?

• It is perpendicular to the path

• It is tangent to the path

• It is parallel to the path

• It is opposite to the path

If the center axis has a velocity of 5 m/s, what is the velocity of the highest point on the rim?

• 0 m/s

• 7.07 m/s

• 5 m/s

• 10 m/s

What is the velocity of a point on the rim that is at half the height of the object?

• 7.07 m/s

• 0 m/s

• 10 m/s

• 5 m/s

What is the velocity of a point on the rim that is slanted at an angle?

• Equal to the center axis velocity

• Twice the center axis velocity

• Zero

• 5 times the square root of 2 m/s

What is the velocity of the center axis if the highest point on the rim has a velocity of 10 m/s?

• 5 m/s

• 10 m/s

• 0 m/s

• 7.07 m/s