Two Cylinders Made of the Same Material Roll Down a Plane

question 9

Multiple Choice

Two cylinders made of the same material roll down a plane inclined at an angle θ with the horizontal. Each travels the same distance. The radius of cylinder B is twice the radius of cylinder A. In what order do they reach the bottom?

• A) A reaches the bottom first because it has the greater acceleration.
• B) A reaches the bottom first because it has a smaller moment of inertia.
• C) B reaches the bottom first because is experiences a larger torque.
• D) B reaches the bottom first because it travels a larger distance in one rotation.
• E) They both reach the bottom at the same time, because each has the same linear acceleration.

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Definitions:

Home Run

In baseball, a hit that allows the batter to circle all the bases, ending at home plate, often by hitting the ball out of the field.

Satisficing

A decision-making strategy that involves choosing an option that meets a minimum level of satisfaction rather than optimizing.

Best Possible Decision

The most favorable outcome derived from available alternatives, taking into account all known information, restrictions, and goals.

Confirmation Bias

The inclination to seek out, interpret, prefer, and remember information that corroborates an individual's already existing beliefs or assumptions.