A mechanical part is made up by the union of two triangles, as illustrated in Figure 3. Both triangles have the same base b, height h and uniform thickness w. Each triangle has uniform density, Pj and ez respectively. a. Determine the x-coordinate of the geometrical centroid of each triangle. Justify your reasoning. b. Determine the x-coordinate of the center of mass of the whole mechanical part. Justify your reasoning. y P2 h Pi b Figure 3. Two triangles with equal dimensions and different densities are combined together into one mechanical part.

Q: 5. In the figure shown, the 0.3-m by 0.3-m square plate had a triangular notch punched off the left…

A:

Q: Find the centroid of the volume shown below. 40 Dimensions in mm r=12

A: According to the given data There are 4 part of the of the object We need to find Centroid of the…

Q: 50 LY

A: Given

Q: Problem 3: Find the centroid C(x, y, 7) of the machine element shown in the figure below with…

A:

Q: Determine the centroid for the homogenous solid section shown below in Figure Q5a, where d₁ = 120.00…

A:

Q: troid, ỹ on axis x'- x ' for the parts cross-sectic

A:

Q: Find the centroid (1, g) of the region bounded by: y = 31 + 6z, y = 0, 1 = 0, and z = 3

A:

Q: For the machine element shown in the figure, locate the coordinates ft gravity. 16 mm 60 mm 28 mm 24…

A: First divide the given figure in different sections and draw the diagram

Q: 3. y y' 1127 云→ L.

A: Given: Dimensions of the cross-section in XY plane are given as h= 30 mm, a=36m, L= 116 mm.…

Q: Locate the centroid of the plane area shown. Given, A= 15 cm, B= 9 cm, C= 3 cm. 4. C 3 A (0,0)-…

A: Given: Divide the given area into four sub-areas A1, A2, A3 and A4 as shown in the figure…

Q: Find the centroid of the region shown in Figure

A: Divide the given area into three sections as shown in the below diagram.

Q: 13 - Find the center of gravity M of the three-dimensional homogeneous wire ABCD using the…

A:

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.