GATE XE (Engineering Sciences) 2022 - Question 54

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Section: Solid Mechanics | Marks: 2

A spring-mass system having a mass m and spring constant k, placed horizontally on a foundation, is connected to a vertically hanging mass m with the help of an inextensible string. Ignore the friction in the pulleys and also the inertia of pulleys, string and spring. Gravity is acting vertically downward as shown. The natural frequency of the system in rad/s is

Figure for question 54, GATE XE (Engineering Sciences) 2022

  • A. ඨ4𝑘 3𝑚
  • B. ඨ𝑘 2𝑚
  • C. ඨ𝑘 3𝑚
  • D. ඨ4𝑘 5𝑚

Answer: D. ඨ4𝑘 5𝑚

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