A Wooden Block a of Mass 4

question 21

Multiple Choice

A wooden block A of mass 4.0 kg slides on a frictionless table when pulled using a massless string and pulley array by a hanging box B of mass 5.0 kg, as shown in the figure. What is the acceleration of block A as it slides on the frictionless table? Hint: Think carefully about the acceleration constraint.

• A) 4.1 m/s²
• B) 3.5 m/s²
• C) 3.1 m/s²
• D) 2.7 m/s²

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Definitions:

Pinion Gear

A small gear that engages with a larger gear or rack, transferring motion and force in mechanical systems such as steering mechanisms.

Top Land

In an engine, the top land represents the highest section of the piston between the piston ring and the crown, impacting compression and efficiency.

Backlash

The play or gap between meshing gears, allowing for necessary movement without binding in mechanical systems.

Tooth Contact Pattern

Refers to the alignment and engagement between gear teeth, impacting the efficiency and noise level of the gear operation.