9-27. Locate the centroid y of the area. Probs. 9-26/27 4 ft y y = 1 4 ft x² G Ø X

Q: Locate the centroid x̄ of the area.

A: Given data:   *The equation of the curve is y=4-1/16 x2. The small vertical element of area is given…

Q: 6-27. Locate the centroid y of the area. ута 100 mm -100 mm-

A: The curve and line expressions are given as, The area of the shaded part is given as,

Q: 6-49. Determine the distance 7 to the centroid of the shape that consists of a cone with a hole of…

A: the given 3d object is a combination of cone and cylinder the centroid of the cylinder will be at a…

Q: 6-34. Locate the centroid of the quarter-cone.

A: Consider the diagram shown below for the element volume inside the quatre cone. Here,

Q: Determine the y-coordinate of the centroid of the shaded area. T 0.26h Answer: y = y 62° 62° i x h

A:

Q: 6-22. Locate the centroid I of the area. y=a sin +

A: Write the expression of the cross-sectional area. Write the expression of the centroid of the…

Q: Locate the centroid x̄ of the circular sector.

A: Draw the area of the differential element.

Q: Locate the centroid of the shaded area. Set b= 0.60 a. 62, 9.

A:

Q: 6-21. Locate the centroid y of the area. x-b) -в—

A: The area with the strip is given as, The functions are given as, The area of the strip is written…

Q: F6-5. Locate the centroid y of the homogeneous solid formed by revolving the shaded area about the y…

A: Given Data: The equation of the curve is z2 = y/4. The curve is rotated about the y-axis. The curve…

Q: 6-43. Locate the centroid y of the cross-sectional area of the built-up beam. 190m s 0 mm 490mm

A: A1=300×20 A1=6000 mm2 A2=200×2A2=4000 mm2 A3=A4=450×20=9000 mm2

Q: Locate the centroid y of the shaded area. L=15.4in y L L L

A: Given Data L= 15.4 in

Q: y y=- h

A: Find the location of centroid x-bar.

Q: In a simple gas turbine plant working on ideal constant pressure cycle, air is taken at the…

A:

Q: F6-10. Locate the centroid (T, ) of the cross-sectional area. 05 m 10.5 m

A: The front view of the cross-section can be drawn as, The cross-section can be divided into two…

Q: 6-25. Locate the centroid y of the area. Im -1 m

A: The given problem will be solved by using method of integration. We have to consider an elemental…

Q: Locate the centroid x of the shaded area. Take a = 6 in.

A: Given data: a=6 in Need  to determine the centroid x of the shaded area.

Q: y 165 mm 165 mm 135 mm: 130 mm 75 mm 130 mm Answers: (X, Y) = (i ) mm

A:

Q: Determine the y-coordinate of the centroid of the shaded area.

A:

Q: 9-61. Determine the location y of the centroid for the beam's cross-sectional area. Prob. 9-61 15 mm…

A:

Q: Locate the centroid y~ the area

A: The given shaded area is –   Let us take a strip of thickness dx. then the area of the shaded can…

Q: 6-5. Locate the centroid y of the area. y = -b-

A: Given Data: The given curve is y=hb2x2 The curve extends from (0,0) to (h,b). To determine the…

Q: 6-2. Locate the centroid y of the area. 16 4 m -8 m-

A:

Q: *6-32. Locate the centroid y of the homogeneous solid formed by revolving the shaded area about the…

A: Given: The equation formed by revolving the shaded region is y2+z-a2=a2 The centroid or center of…

Q: *= ky

A:

Q: Locate the centroid x¯ of the parabolic area. Take a = 9 in , h = 12 in .

A:

Q: Determine the y-coordinate of the centroid of the area by direct integration.

A:

Q: *6-12. Locate the centroid I of the area.

A: Given: The curve is given as the, y=ha2x2+h

Q: *6-4. Locate the centroid I of the area. y = -b-

A: Draw a small rectangular element as shown below,   The area of small element is, dA=y×dx=hb2x2dx

Q: 6-33. Locate the centroid of the ellipsoid of revolution.

A: To find out the volume dV=πz2dy∫dV=∫0bπa2(1-y2b2)dyV=2πa2b3

Q: F6-7. Locate the centroid (T, 5, 7) of the wire bent in the shape shown. 300 min 600 mm 400 mm

A: From the given data: (1 m=1000 mm)

Q: Locate the centroid F of the area. y 4- 4 m -8 m-

A:

Q: Locate the centroid of the shaded area. Set b = 0.70 a. b Answer: (x, y) = (i D BE i ) a

A: Write the given data. Expression,x=a1-y2b2And,b=0.70a

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.