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GATE 2025 MN – Question 19

Geomechanics and Ground Control · Engineering Mechanics · 1 mark · Multiple choice

Three frictionless pulleys and attached ropes are in static equilibrium as drawn. Find masses m₁,m₂ in kg respectively.

Diagram for GATE 2025 MN question 19
  1. 50,100
  2. 50,50
  3. 100,50
  4. 50,25

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Show answer and explanation

Correct answer: (A) 50,100

Explanation

The upper rope tension is100g because of the100 kg hanging mass. It supports the middle pulley, which is pulled down by two equal tensions T, so2T=100g and T=50g. Thus m₁=50 kg. The lower movable pulley has two upward tensions T, giving m₂g=2T=100g. Therefore A.

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