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Grade 12th passMechanics

WHAT IS THE FORCE F REQUIRED AT EQUILIBRIUM OF THE GATE?

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Profile image of Priti Mehra
8 Years agoGrade 12th pass
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4 Answers

Profile image of Venkat
8 Years ago
WHAT IS THE FORCE F REQUIRED AT EQUILIBRIUM OF THE GATE?
Profile image of Venkat
8 Years ago
sorry the attachm
Profile image of Venkat
ApprovedApproved Tutor Answer8 Years ago
THE CORrect option is (b) = 0
 
\\F_{horizontal}=0.5(9.81)(2)(2)=19.62kN
 
It will act at
   1-\frac{2}{3}=\frac{1}{3}    
from the hinge
 
\\F_{vertical}=\pi \times \frac{(1)^2}{2}(9.81)=\frac{9.81\pi}{2}kN
 
It will act at     \\\frac{4}{3\pi}    from the hinge
 
Take moments anout hinge.
\\19.62\times\frac{1}{3}-\frac{9.81\pi}{2}\times \frac{4}{3\pi}=F\times1 \\ \\\frac{19.62}{3}-\frac{19.62}{3}=F \\ \\F=0
Profile image of Aswanth
7 Years ago
 
THE CORrect option is (b) = 0
 
\\F_{horizontal}=0.5(9.81)(2)(2)=19.62kN
 
It will act at
   1-\frac{2}{3}=\frac{1}{3}    
from the hinge
 
\\F_{vertical}=\pi \times \frac{(1)^2}{2}(9.81)=\frac{9.81\pi}{2}kN
 
It will act at     \\\frac{4}{3\pi}    from the hinge
 
Take moments anout hinge.
\\19.62\times\frac{1}{3}-\frac{9.81\pi}{2}\times \frac{4}{3\pi}=F\times1 \\ \\\frac{19.62}{3}-\frac{19.62}{3}=F \\ \\F=0

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