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A block of mass is placed at the lowest point of a smooth vertical track of radius . In this position, the block is given a horizontal velocity such that the block is just able to perform a complete vertical circular motion. The acceleration of block, when its velocity is vertical is
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 , then using conservation of mechanical energy we get
The tangential and centripetal accelerations of the block are
and
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