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Q.

A uniform triangular plate of triangular area 1m2 , base length 60 cm and thickness 10 mm (prism like shape) is lying vertically on a smooth ground as shown in figure. The maximum value of cotθ  for which it does not topple is n, find 100n?
 

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answer is 36.

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Detailed Solution

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Just to prevent from toppling, mg must pass through toppling point.
xCM=60=0+60+x3⇒x=120cm 
Area  =12×60100×y=1⇒y=103m
 cotθ=xy=120100×10×3=0.36

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