GATE XE (Engineering Sciences) 2025 - Question 55

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Section: Solid Mechanics | Marks: 2

The figure shows a rod PQ, hinged at P, rotating counter-clockwise with a uniform angular speed of 15 rad/s. A block R translates along a slot cut out in rod PQ. At the instant shown the distance PR = 0.5 m and θ = 60o. The relative velocity of R with respect to the rod PQ is 5 m/s at the instant shown. The relative acceleration of R with respect to the rod PQ is zero at the instant shown. Which one of the following is the CORRECT magnitude of the absolute acceleration (in m/s2) of block R?

Figure for question 55, GATE XE (Engineering Sciences) 2025

  • A. 135.2
  • B. 187.5
  • C. 112.5
  • D. 150.0

Answer: B. 187.5

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