Question 12 of 12 Map sapling learning A large block of wood has the shape of an
ID: 1439554 • Letter: Q
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Question 12 of 12 Map sapling learning A large block of wood has the shape of an isosceles trapezoid, as shown in the figure. The bottom end of the block has a width of wh 1.75 m, and the top end has a width 1.23 m. If the center of gravity of the block is located a distance hc 1.11 m directly above the midpoint of the base, what is the maximum tipping angle that the block can undergo before tumbling over? Number Assume the total height of the block is 2.365 m. If the block were eg resting on its narrow end, how far could it be tipped from that position without it falling over? NumberExplanation / Answer
from the triangle tan theta = h/(Wb/2)
tan theta = (1.11)/(1.75/2)
tan theta = 1.268
theta = 51.73 deg
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using sum of moments about CG
N*x - u N (2.365 - 1.11) = 0
x = 1.255 u
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