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A mass 2m is attached to a massless ideal spring of spring constant k. The other side of the spring is attached to an inextensible light weight string. A mass m is attached to the other end of the string and the string is passing over a frictionless pulley. At the equilibrium, what will be the extension in the spring?
  • a)
    2mg/k
  • b)
    mg/2k
  • c)
    mg/k
  • d)
    k/mg
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A mass 2m is attached to a massless ideal spring of spring constant k....

From the FBD of the mass m,
mg = T
From the FBD of mass 2m,
2mg = T + kx
Putting the value of T from above equation,
2mg = mg + kx
mg = kx
Or,
x = mg/k
This is our required solution.
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A mass 2m is attached to a massless ideal spring of spring constant k. The other side of the spring is attached to an inextensible light weight string. A mass m is attached to the other end of the string and the string is passing over a frictionless pulley. At the equilibrium, what will be the extension in the spring?a)2mg/kb)mg/2kc)mg/kd)k/mgCorrect answer is option 'C'. Can you explain this answer?
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A mass 2m is attached to a massless ideal spring of spring constant k. The other side of the spring is attached to an inextensible light weight string. A mass m is attached to the other end of the string and the string is passing over a frictionless pulley. At the equilibrium, what will be the extension in the spring?a)2mg/kb)mg/2kc)mg/kd)k/mgCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A mass 2m is attached to a massless ideal spring of spring constant k. The other side of the spring is attached to an inextensible light weight string. A mass m is attached to the other end of the string and the string is passing over a frictionless pulley. At the equilibrium, what will be the extension in the spring?a)2mg/kb)mg/2kc)mg/kd)k/mgCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mass 2m is attached to a massless ideal spring of spring constant k. The other side of the spring is attached to an inextensible light weight string. A mass m is attached to the other end of the string and the string is passing over a frictionless pulley. At the equilibrium, what will be the extension in the spring?a)2mg/kb)mg/2kc)mg/kd)k/mgCorrect answer is option 'C'. Can you explain this answer?.
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