Two blocks 4 kg and 2 kg touching each other are placed on a smooth inclined plane as shown and free to move downward , then the contact force between two blocks is
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If either block was placed it would move with the same acceleration (gsin30). When both of them are placed together both move still with acceleration gsin30, not depending on each other for their acceleration. Thus the contact force does not play any role in altering the acceleration of the blocks and hence is 0.
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