GATE XE (Engineering Sciences) 2024 - Question 47

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Section: Solid Mechanics | Marks: 1

A mass M is hung from a frictionless, massless pulley. The pulley is suspended by using an inextensible, massless rope of which one end is directly fixed to a support, and the other end is connected to the support through a linear spring of stiffness constant k (see figure). The natural frequency of this system is

Figure for question 47, GATE XE (Engineering Sciences) 2024

  • A. √4𝑘 𝑀
  • B. √2𝑘 𝑀
  • C. √𝑘 𝑀
  • D. √𝑘 2𝑀

Answer: A. √4𝑘 𝑀

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