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A semicircular rigid cylindrical tube with smooth inner surface is placed on a horizontal floor. Two identical balls that loosely fit inside the tube are simultaneously released from the top of the tube. Each ball moves down the tube on either side. Which of the following statements best describe the total force of normal reaction between the tube and the floor?

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It decreases continually

It increases continually

It first decreases, acquires a minimum value then increases

The tube may leave the groun

answer is C, D.

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Detailed Solution

The balls will initially roll on the inner surface till normal force on the inner surface decreases to zero and then they come down along the outer surface. The tube may lift up if upward normal force due to balls balances the weight of the tube.

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