Two blocks of masses m 1 and m 2 are connected with a massless undeformed spring and placed over a plank moving with an acceleration ‘a’ as shown in figure. The coefficient of friction between the blocks and platform is µ.

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Let the value of ‘a’ be increased from zero. As long as a
µg, there shall be no relative
motion between m 1 or m 2 and platform, that is, m 1 and m 2 shall move with acceleration a.
As a > µg the acceleration of m 1 and m 2 shall become µg each.
Hence at all instants the velocity of m 1 and m 2 shall be same
The spring shall always remain in natural length.
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