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JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion

Two masses \(A\) and \(B ,\) each of mass \(M\) are fixed together by a massless spring. \(A\) force acts on the mass \(B\) as shown in figure. If the mass \(A\) starts moving away from mass \(B\) with acceleration \('a',\) then the acceleration of mass \(B\) wil be :-

  1. A \(\frac{ Ma - F }{ M }\)
  2. B \(\frac{ MF }{ F + Ma }\)
  3. C \(\frac{ F + Ma }{ M }\)
  4. D \(\frac{ F - Ma }{ M }\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{ F - Ma }{ M }\)

Step-by-step Solution

Detailed explanation

\(a _{ cm }=\frac{ m _{1} a _{1}+ m _{2} a _{2}}{ m _{1}+ m _{2}}\) \(\frac{ F }{2 M }=\frac{ Ma + Ma _{ B }}{2 M }\) \(a _{ B }=\frac{ F - Ma }{ M }\)
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