4. Compute for the centroid, C = (X,Y), and the moment of inertia about the centroidal axis of the composite figure shown below. 60 mm 60 mm

Q: 1. Calculate the centroid of the composite shape in reference to the bottom of the shape and…

A: Given:The two composite shapes are given below:

Q: Please look at the images for details about the question. Note: b is not a and must be calculated…

A: Giveny=x3a=1.6m

Q: Determine the moment of inertia of the stringer cross section about the horizontal centroidal axis.…

A:

Q: The semicircle shown has a moment of inertia about the x axis of 40.0 ft4 and a moment of inertia…

A:

Q: Given:  Ix1=8.32x107 mm4 Ix=Ixc= centroidal axis  Find: Ix2

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Q: y L h-y h dy y X b

A:

Q: centroid and the moment of inertia about an x-axis

A:

Q: Locate the centroid of the composite cross-sectional area shown in the figure below. Also, determine…

A: We will convert into three components as shown below :

Q: Find the centroid (x̄, ȳ) of the shaded area, given the function: y = (1/3)·x4   and   L = 5 mm.

A:

Q: For the shaded area shown, find: (a) The location of the centroid (X,Y). (b) The moment of inertia…

A: (a) Draw the given diagram.

Q: following question: 1. Locate the centroid Y ̅ of the composite are shown, then determine the moment…

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Q: 1 in. - - E 1 in. x' d X. I in. → E

A:

Q: b b= 134 mm, r=68 mm For the given composite geometry locate the centroid of the plane area shown…

A:

Q: Compute the coordinates of the centroid (7, 9) of the area shown. Also compute the area moment of…

A: A=∫0cydx=∫0cabxdxA=ab c3232A=86.95 in2x¯=∫xdA∫dA=∫0cxabx dx86.95x¯=ab ∫0cx32dx86.95x=abc5286.95…

Q: Problem 1 Find the co-ordinates of the centroid of the beam cross- section shown in the figure (the…

A: The centroid and the moment of inertia of the beam cross-section.Given:The cross-section is shown…

Q: Locate the centroid C (x,y) of the shaded area Determine the area moment of inertia of the shaded…

A:

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.