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saplinglearning.com oma- PHYS 2113-Fail17-ZOETEWEY: HW: Statics and Torque Je Gr

ID: 1775390 • Letter: S

Question

saplinglearning.com oma- PHYS 2113-Fail17-ZOETEWEY: HW: Statics and Torque Je Grade! 11/5/2017 11:55 PM 57.4/100 11/5/2017 07:15 PM -Print | Calculator -Periodic Table uestion 16 of 17 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 w 1.87 m, and the top end has a width w 1.23m If the center of gravity of the block is located a distance ag 1.19 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 2.555 m. If the block were resting on its narrow without it talling over? end, how far could it be tipped from that position Number O Check Answer Net

Explanation / Answer

hcg = 1.19 m, H = 2.555 m

a) theta = 90 - tan-1[ hcg / (wb/2)]

= 90 - tan-1[1.19 / (1.87/2)]

= 38.16 deg

b) theta = 90 - tan-1[ H - hcg / (wt/2)]

= 90 - tan-1[2.555 - 1.19 / (1.23/2)]

= 24.25 deg