Module 4: Centroids and Center of Gravity Flashcards
the point where the resultant weight of the plate acts
center of gravity of a plate
If an area or line possesses _______________________, its centroid C must be located at the intersection of the two axes
two axes of symmetry
If the centroid of an area is located on a coordinate axis, the ______________ of the area with respect to that axis is zero
first moment
theorem number? : The area of a surface of revolution is equal to the
length of the generating curve times the distance traveled by the centroid of the curve while the surface is being generated
theorem 1
We usually determine the centroid by evaluating the?
integrals
may not actually be located on the wire
center of gravity of a wire
We can replace a distributed load on a beam by a?
concentrated load
The theorem does not apply if the
___________________ intersects the
generating area
axis of rotation
it is the point where a homogeneous plate of uniform thickness would balance
centroid of an area
a point where in an imaginary line can be extended from any point on its side through its center and a similar point is present along the line equidistant from the center
center of symmetry
is a surface which can be generated by rotating a plane curve about a fixed axis
surface of revolution
it is located on the line of intersection of the two planes
centroid
analogous to axis of symmetry but only for three-dimensional bodies
plane of symmetry
If an area or line possesses two axes of symmetry, its centroid C must be located at the ________________ of the two axes
intersection
is a body which can be generated by rotating a plane area about a fixed axis
body of revolution
The _______________________________ is equal to the generating area times the distance traveled by the centroid of the area while the body is being generated
volume of a body of revolution
it is the point where a homogeneous wire of uniform cross section would balance
centroid of a line
it is the weighted average of all the elements of weight that make up the plate
center of gravity of a plate
If the centroid of an area is located on a _________________, the first moment of the area with respect to that axis is zero
coordinate axis
it is the point where the resultant weight of the wire acts
center of gravity of a wire
a line about which the figure is symmetrical
axis of symmetry
The theorem does not apply if the
axis of rotation intersects the
____________________
generating area
theorem number? : The volume of a body of revolution is equal to the
generating area times the distance traveled by the centroid of the area while the body is being generated.
theorem 2
If the centroid of an area is located on a coordinate axis, the first
moment of the area with respect to that axis is ______________
zero
