What is the problem with banking?

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The discussion highlights errors in a banking problem related to physics, specifically regarding the incorrect angles and force contributions. It emphasizes the need for accurate free body diagrams to resolve forces into horizontal and vertical components. The normal force's role in providing centripetal force is misinterpreted, necessitating a reevaluation of the problem. Additionally, the frictionless condition of the ramp is questioned, indicating a lack of clarity in the application of forces on the block. Accurate analysis of these factors is crucial for solving the banking problem correctly.
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"Banking" Problem

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Ok, I did the proper "latex tags" :D ...sorry about that
 
#1 has several errors. There is no 30 degrees in the problem, and the signs are not correct. The bank is the wrong way for the normal force to be making a positive contribution to the needed centripetal force. It appears the normal force is not what you think it is. You need to draw a free body diagram with all forces resolved into horizontal and vertical components. There is no vertical acceleration, so the sum of the vertical forces must be zero. The sum of the horizontal forces must provide the centripetal acceleration.

For #2 is the ramp frictionless? I don't see how you have used the block on the ramp. Again you need free body diagrams, one for each block.
 
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