Laws Of Motion Question 426

The system is released from rest. The spring gets elongated

Options:

A) for M > m

B) for M > 2 M☉

C) for $ M>\frac{m}{2} $

D) for any value of M

Show Answer

Answer:

Correct Answer: D

Solution:

Net pulling force on the system is $ Mg + mg $ or Mg.

Total mass being pulled is $ M+2m $. Hence, acceleration of the system is $ a =\frac{Mg}{M+2m} $

Now since a < g. There should be an upwards force on m so that its acceleration becomes less than g.

Hence, for any value of m, the spring will be elongated.



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