GATE XE (Engineering Sciences) 2025 - Question 44

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Section: Solid Mechanics | Marks: 1

Consider a spring-mass system with mass m and spring stiffness k as shown in the illustration. At time t=0, the mass is displaced by P units and the velocity of the mass is zero. The displacement of the mass, x(t), is measured from the equilibrium position. Which one of the following functions represent x(t)?

Figure for question 44, GATE XE (Engineering Sciences) 2025

  • A. 𝑃 π‘π‘œπ‘ (βˆšπ‘˜ π‘šπ‘‘)+ 𝑃 𝑠𝑖𝑛(βˆšπ‘˜ π‘šπ‘‘)
  • B. 𝑃 𝑠𝑖𝑛(βˆšπ‘˜ π‘šπ‘‘)
  • C. 𝑃 2 π‘π‘œπ‘ (βˆšπ‘˜ π‘šπ‘‘)+ 𝑃 2 𝑠𝑖𝑛(βˆšπ‘˜ π‘šπ‘‘)
  • D. π‘ƒπ‘π‘œπ‘ (βˆšπ‘˜ π‘šπ‘‘)

Answer: D. π‘ƒπ‘π‘œπ‘ (βˆšπ‘˜ π‘šπ‘‘)

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