GATE XE (Engineering Sciences) 2023 - Question 45

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Section: Solid Mechanics | Marks: 1

A massless rigid rod OP of length L is hinged frictionlessly at O. A concentrated mass m is attached to end P of the rod. Initially, the rod OP is horizontal. Then, it is released from rest. There is gravity as shown. The rod acquires an angular velocity as it swings. The clockwise angular velocity of the rod, when it first reaches the vertical position as shown, is

Figure for question 45, GATE XE (Engineering Sciences) 2023

  • A. 2√𝑔 𝐿
  • B. √ 2 𝑔 𝐿
  • C. √𝑔 𝐿
  • D. 1 2 √𝑔 𝐿

Answer: B. √ 2 𝑔 𝐿

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