Thro block of masses M1 and M2 are connected to each other through a light spring as shown in fig. If we push the mass M1 with a force F which causes acceleration a1 in mass M1, what will be the acceleration in M2?

Force on M1 will be F1=M1⋅a1Let the force on M2 be F2. Then F2=(M2)×a2Also, F=F1+F2=M1a1+M2a2∴a2=F−M1a1M2

Thro block of masses M1 and M2 are connected to each other through a light spring as shown in fig. If we push the mass M1 with a force F which causes acceleration a1 in mass M1, what will be the acceleration in M2?

Force on M1 will be F1=M1⋅a1Let the force on M2 be F2. Then F2=(M2)×a2Also, F=F1+F2=M1a1+M2a2∴a2=F−M1a1M2

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Thro block of masses M₁ and M₂ are connected to each other through a light spring as shown in fig. If we push the mass M₁ with a force F which causes acceleration a₁ in mass M₁, what will be the acceleration in M₂?

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$F / M_{2}$

$F / (M_{1} + M_{2})$

$a_{1}$

$\frac{F - M_{1} a_{1}}{M_{2}}$

answer is D.

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Detailed Solution

$Force on M_{1} will be F_{1} = M_{1} \cdot a_{1}$

$Let the force on M_{2} be F_{2} . Then$

$\begin{array}{lll} F_{2} & = (M_{2}) \times a_{2} \\ Also, & F & = F_{1} + F_{2} = M_{1} a_{1} + M_{2} a_{2} \\ ∴ & a_{2} & = \frac{F - M_{1} a_{1}}{M_{2}} \end{array}$

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Thro block of masses M1 and M2 are connected to each other through a light spring as shown in fig. If we push the mass M1 with a force F which causes acceleration a1 in mass M1, what will be the acceleration in M2?

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Thro block of masses M₁ and M₂ are connected to each other through a light spring as shown in fig. If we push the mass M₁ with a force F which causes acceleration a₁ in mass M₁, what will be the acceleration in M₂?