# For the stop bracket shown, locate the x coordinate of the center of gravity.

Question-AnswerCategory: Engineering MechanicsFor the stop bracket shown, locate the x coordinate of the center of gravity.

For the stop bracket shown, locate the x coordinate of the center of gravity. Step: 1

Divide the stop bracket into sections as follows: Step: 2

Assume that the bracket is homogeneous. Accordingly, the center of gravity is to coincide with the centroid of the volume.
Write the equation for x-coordinate of center as follows: ……. (1) Here, is the x-coordinate centroid of section 1, is the x-coordinate centroid of section 2, is the x-coordinate centroid of section 3, is the x-coordinate centroid of section 4, is the volume of section 1, is the volume of section 2, is the volume of section 3 and is the volume of section 4.

Step: 3

Calculate the x-coordinate centroids of each individual section and corresponding volumes and tabulate the values as follows:

Volume no:

Volume ‘V’   I   5280000

II   6000000?

III   616590

IV   – 1389960  Step: 4

Calculate the x-coordinate of center for the given bracket.
Substitute for and for in equation (1). Therefore, the x-coordinate of center for the given bracket is .