A stack of 1.5 pound cans is put into a feeder tray at an automated factory as s

Question

A stack of 1.5 pound cans is put into a feeder tray at an automated factory as shown.  The cans have been shown to deform and flog up the later machinery if they are subjected to any single force higher than 30 pounds.  How many cans can be stacked in the feeder tray safely without the bottom can being deformed?

A stack of 1.5 pound cans is put into a feeder tray at an automated factory as shown. The cans have been shown to deform and flog up the later machinery if they are subjected to any single force higher than 30 pounds. How many cans can be stacked in the feeder tray safely without the bottom can being deformed?

Explanation / Answer

force on bottom can should be maximm of 30 pounds hence

30 =N*m*sin45

30 =N*1.5 *root2

N =28.3

hence 28 can should be above bottom can

hence in total cans are 28 + 1 bottom can ie 29

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