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GATE 2024 EE – Question 9

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 2 marks · Multiple choice

The assembly shown below has three teethed circular objects (Pinions) and two teethed flat objects (Racks), which are perfectly mating with each other. Pinions can only rotate clockwise or anti-clockwise staying at its own center. Racks can translate towards the left (←) or the right (→) direction.

If the object A (Rack) is translating towards the right (→) direction, the correct statement among the following is

Diagram for GATE 2024 EE question 9
  1. Object B translates towards the right direction.
  2. Object B translates towards the left direction.
  3. Object R rotates in the anticlockwise direction.
  4. Object Q rotates in the clockwise direction.

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Show answer and explanation

Correct answer: (B) Object B translates towards the left direction.

Explanation

Rack A sits on top of pinion P, so moving A to the right turns P clockwise. Meshed gears turn in opposite senses: Q turns anticlockwise and R turns clockwise. Rack B is under R, and a clockwise pinion moves the rack beneath it to the left, so B translates left. (C) and (D) are wrong: R is clockwise and Q is anticlockwise.