A Wheel, with Rotational Inertia I, Mounted on a Vertical $\omega$

question 45

Multiple Choice

A wheel, with rotational inertia I, mounted on a vertical shaft with negligible rotational inertia, is rotating with angular speed $\omega$ _0. A nonrotating wheel with rotational inertia 2I is suddenly dropped onto the same shaft as shown. The resultant combination of the two wheels and shaft will rotate at:

• A) \( \omega \)₀ /2
• B) 2 \( \omega \)₀
• C) \( \omega \)₀ /3
• D) 3 \( \omega \)₀
• E) \( \omega \)₀ /4

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Definitions:

Consumer Surplus

The disjunction between the price consumers are prepared to shell out for a good or service and what they end up shelling out.

Deadweight Loss

An economic efficiency decrement occurs when there's a failure to achieve or inability to achieve an equilibrium for a particular good or service.

Market Distortion

An economic phenomenon where external factors lead to a deviation from the expected or efficient allocation of resources, often causing prices to be higher or lower than they would be in a free market.

Taxed

Subjected to a compulsory financial charge or levy by governmental organizations for the funding of state expenditures.