Small objects are released from rest at (A) and slide down the smooth circular surface of radius

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Small objects are released from rest at \(A\) and slide down the smooth circular surface of radius \(R\) to a conveyor \(B\). Determine the expression for the normal contact force \(N\) between the guide and each object in terms of \(\theta\) and specify the correct angular velocity \(\omega\) of the conveyor pulley of radius \(r\) to prevent any sliding on the belt as the objects transfer to the conveyor.

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