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Question

Two blocks of masses m1 and m2 are connected with a light spring and placed over a plank moving with an acceleration a as shown in figure. The coefficient of friction between the blocks and plank is μ. The spring will  



Your Answer
A
Neither compresses nor be stretched for aμg
Your Answer
B
Be compressed if aμg
Your Answer
C
Be stretched if a>μg
Correct Answer
D
Be in its natural length under all conditions. 

Solution

The correct option is C Be in its natural length under all conditions. 
For aμg, the blocks will remain stationary with respect to the surface of the plank, so the stretch x=0.
For aμg, both the blocks will move with respect to the surface of the plank with an acceleration (aμg). However at any instant no relative motion between the blocks exists, so still they don't stretch the spring. 
Hence, the correct answer is (D). 

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