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A block of mass 2M is attached to a massless spring with spring–constant k. This block is connected to two other blocks of masses M and 2M using two massless pulleys and strings. The accelerations of the blocks are a1, a2 and a3 as shown in the figure. the system is released from rest with the spring in its unstretched state.The maximum extension of the spring is x0. Which of the following option(s) is/are correct?
[g is the acceleration due to gravity. neglect friction]
  • a)
    a2 – a1 = a1 – a3
  • b)
    At an extension of of the spring, the magnitude of acceleration of the block connected to the spring is 3g/10
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A block of mass 2M is attached to a massless spring with spring–...
In the frame of pulley B, the hanging masses have accelerations :
M → (a2 – a1), 2M → (a3 – a1) : downward.
∴ (a2 – a1) = –(a3 – a1) [constant]
Assuming that the extension of the spring is x
We consider the FBD of A :
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A block of mass 2M is attached to a massless spring with spring–constant k. This block is connected to two other blocks of masses M and 2M using two massless pulleys and strings. The accelerations of the blocks are a1, a2 and a3 as shown in the figure. the system is released from rest with the spring in its unstretched state.The maximum extension of the spring is x0. Which of the following option(s) is/are correct?[g is the acceleration due to gravity. neglect friction]a)a2 – a1 = a1 – a3b)At an extension ofof the spring, the magnitude of acceleration of the block connected to the spring is 3g/10c)d)Correct answer is option 'A'. Can you explain this answer?
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A block of mass 2M is attached to a massless spring with spring–constant k. This block is connected to two other blocks of masses M and 2M using two massless pulleys and strings. The accelerations of the blocks are a1, a2 and a3 as shown in the figure. the system is released from rest with the spring in its unstretched state.The maximum extension of the spring is x0. Which of the following option(s) is/are correct?[g is the acceleration due to gravity. neglect friction]a)a2 – a1 = a1 – a3b)At an extension ofof the spring, the magnitude of acceleration of the block connected to the spring is 3g/10c)d)Correct answer is option 'A'. 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 block of mass 2M is attached to a massless spring with spring–constant k. This block is connected to two other blocks of masses M and 2M using two massless pulleys and strings. The accelerations of the blocks are a1, a2 and a3 as shown in the figure. the system is released from rest with the spring in its unstretched state.The maximum extension of the spring is x0. Which of the following option(s) is/are correct?[g is the acceleration due to gravity. neglect friction]a)a2 – a1 = a1 – a3b)At an extension ofof the spring, the magnitude of acceleration of the block connected to the spring is 3g/10c)d)Correct answer is option 'A'. 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 block of mass 2M is attached to a massless spring with spring–constant k. This block is connected to two other blocks of masses M and 2M using two massless pulleys and strings. The accelerations of the blocks are a1, a2 and a3 as shown in the figure. the system is released from rest with the spring in its unstretched state.The maximum extension of the spring is x0. Which of the following option(s) is/are correct?[g is the acceleration due to gravity. neglect friction]a)a2 – a1 = a1 – a3b)At an extension ofof the spring, the magnitude of acceleration of the block connected to the spring is 3g/10c)d)Correct answer is option 'A'. Can you explain this answer?.
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