Determine the location of the horizontal axis for figure (b) at which a vertical gate in a dam is to be hinged so that there is no moment causing rotation under the indicated loading (see figure (a) ) . The model for
is
where
is the y-coordinate of the centroid of the gate,
is the moment of inertia of the gate about the line
, h is the depth of the centroid below the surface, and A is the area of the gate.
A)
B)
C)
D)
E)
Correct Answer:
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Q1: Set up the double integral required to
Q2: Find the mass of the lamina described
Q3: Set up and evaluate a double integral
Q5: Find the center of mass of the
Q6: Find the center of mass of the
Q7: Find the mass of the lamina bounded
Q8: Find the center of mass of the
Q9: Find the mass and moments of inertia
Q10: Determine the location of the horizontal axis
Q11: Find the mass of the lamina bounded
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