A Mass M₁ Is Connected by a Light String That

question 52

Multiple Choice

A mass m₁ is connected by a light string that passes over a pulley of mass M to a mass m₂ sliding on a frictionless horizontal surface as shown in the figure.There is no slippage between the string and the pulley.The pulley has a radius of 25 cm and a moment of inertia of 1/2 MR².If m₁ is 4.00 kg,m₂ is 2.00 kg,and M is 4.00 kg,then what is the acceleration of m₁?

• A) 4.9 m/s²
• B) 4.5 m/s²
• C) 4.1 m/s²
• D) 3.9 m/s²
• E) 3.7 m/s²

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Definitions:

Intellectual Ability

The capacity to think abstractly, reason, understand complex ideas, learn quickly, and solve problems, often assessed through IQ tests.

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The extent to which a measuring instrument yields consistent and reliable outcomes across different periods.

Coleman

Refers to James S. Coleman, an American sociologist known for his work in educational sociology, including the influential "Coleman Report" on educational inequality.