Q1. A thin wire is bent to form the shape shown below (Figure 1 ). Find the centroid x and y coordinates. (17 points) Q2. Determine the y-coordinate of the centroid of the shaded area (Figure 2). What is the x-coordinate of the centroid of the same shaded area (You may not need to do any calculation to find the x-coordinate, but to get the full cr solutionspile.com

Question

Q1. A thin wire is bent to form the shape shown below (Figure 1 ). Find the centroid

x

and

y

coordinates. (17 points) Q2. Determine the

y

-coordinate of the centroid of the shaded area (Figure 2). What is the

x

-coordinate of the centroid of the same shaded area (You may not need to do any calculation to find the

x

-coordinate, but to get the full credit you must explain it clearly). (17 points) Q3. Determine the

x

- and

y

-coordinates of the centroid of the shaded area (Figure 3). (16 points) Q4. Calculate the volume

V

of the solid generated by revolving the

60 mm

right-triangular area through

18 0^{?}

about the

z

axis. If this body is constructed of steel, what would be its mass? Given: the density of steel is

7830 kg / m^{3}

. (Figure 4) (22 points) Q5. Find the volume

V

of the solid generated by revolving the shaded area about the z-axis through

9 0^{?}

. Given:

r = 100 mm, a = 50 mm

. (Figure 5) ( 28 points) Figure 2 Figure 4

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(Solved): Q1. A thin wire is bent to form the shape shown below (Figure 1 ). Find the centroid x and y coordi ...