A Mass M₁ Is Connected by a Light String That

question 22

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 ½ MR². If m₁ is 4.00 kg, m₂ is 2.00 kg, and M is 4.00 kg, then what is the downward 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:

Apparent Convergence

The perception of two parallel lines appearing to come together at a distance.

Texture Gradients

A depth cue in which the density and detail of texture change with distance, helping the observer to perceive spatial relationships.

Depth Cue

Are visual or auditory indications that provide information on the relative distance of objects from an observer, aiding in perception of depth.

Interposition

A visual signal that an object is closer than the ones behind it because it obstructs their view.