A Wheel (Radius = 12 Cm) Is Mounted on a Frictionless

question 25

Multiple Choice

A wheel (radius = 12 cm) is mounted on a frictionless, horizontal axle that is perpendicular to the wheel and passes through the centre of mass of the wheel. A light cord wrapped around the wheel supports a 0.40-kg object. If released from rest with the string taut, the object is observed to fall with a downward acceleration of 3.0 m/s2. What is the moment of inertia (of the wheel) about the given axle?

• A)0.023 kg.m²
• B)0.013 kg.m²
• C)0.020 kg.m²
• D)0.016 kg.m²
• E)0.035 kg.m²

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Definitions:

Consumer Surplus

The difference between the total amount that consumers are willing and able to pay for a good or service versus the total amount they actually pay.

Producer Surplus

The difference between what producers are willing to accept for a product versus what they actually receive in the market.

Marginal Benefit

The increased benefit or value received from the consumption or creation of one more unit of a good or service.

Marginal Cost

The investment required to manufacture an additional unit of a product or service.