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NEST2023PhysicsLaws of Motion

An accelerating train (acceleration a=1 ~m ~s ⁻² ) of n blocks have a mass distribution as shown in the figure. The rightmost block of mass n M is the engine. The blocks are connected through a Aluminum cable of cross-section 10 ~cm ^2 . The maximum allowed strain in the connecting cables is 0.001 . Taking M=1000 ~kg and Young's modulus of Aluminum to be 7 10¹⁰ ~Pa , the correct choice(s) is(are).

Options

  1. Aall connecting cables will have equal strain.
  2. Bthe difference of stress in any two consecutive cables is in arithmetic progression.
  3. Cthe train can have at most 12 blocks.
  4. Dthe maximum stress is between blocks having masses M and 2 M .

Correct answer

C. the train can have at most 12 blocks.

Step-by-step solution

No solution available.

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