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General
Easy
Question
Consider the system shown in figure. Pulley, string and spring are ideal and Dm << M. Initially spring is in it’s natural length and both the blocks are at rest. (Assume that initially Dm was situated at origin). Maximum y coordinate of Dm in subsequent motion is xmg/k then value of x is
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- 2
- 3
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The correct answer is: 2
As Dm <<
M So, we can assume that motion of mass M will not be influenced by Dm. Now, when total force on mass M is zero, let the compression in the spring is x. by energy conservation
Now, maximum downwards displacement of M
As block Dm is connected to mass M so its maximum upward displacement =
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