A block of mass m is placed at the lowest point of a smooth vertical track of radius R. In this position, the block is given a horizontal velocity u such that the block is just able to perform a complete vertical circular motion. The acceleration of block, when its velocity is vertical is

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The initial velocity of the block to undergo a complete vertical circular motion is 

Let us assume that the speed of the block when it is moving in the vertical direction is v, then using conservation of mechanical energy we get


The tangential and centripetal accelerations of the block are
and 

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