Mechanics Booster-3

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Answer this question with logical explanation please.

#Physics #Mechanics #Work, Energy & Power

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4 Answers

1133

Sourish Ghosh ·2014-02-13 05:43:14

Force acting of block 2M is 2F towards left, and on M is F towards right. Thus net accln of system is F3M towards left.

Consider the COM of the system as the frame of reference.
Applying appropriate pseudo forces on each block,
F_2M = 2F - 2M.F3M = 4F3 towards left.
F_M = F + M.F3M = 4F3 towards rights.
Let the extensions caused by F_2M and F_M be x₁ and x₂.
Conserving energy,
F_2Mx₁ + F_Mx₂ = 12k(x₁ + x₂)² [At max extension, kinetic energy = 0]
=> (x₁ + x₂) = 8F3k

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Himanshu Giria just 1 doubt ... plz tel how are we applying energy conservation in the 2nd last equn.....
Upvote·0· Reply ·2014-02-13 08:17:29
Sourish Ghosh Work done by both the forces = potential energy stored in the spring.
Upvote·0· Reply ·2014-02-13 20:55:41
Akash Anand Excellent work Sourish..keep it up :)
Upvote·0· Reply ·2014-02-13 23:00:28
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Chandra Prakash Mishra ·2014-02-13 06:17:36

the force on M is F towards right whereas on the block 2M is2F towards left .net force=3F .exten.=3F/k

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Akash Anand Can you be anymore wrong ???
Upvote·0· Reply ·2014-02-13 23:00:01
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1161

Akash Anand ·2014-02-13 02:05:55

Hint for this question is another question, you might enjoy :)

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466

Himanshu Giria ·2014-02-13 02:11:17

is't (B) ??

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