VDB 1023

Engineering Mechanics

Tutorial 7

Centre of Gravity

Problem 1

Determine the centroid of the triangle shown below:

Problem 2

Similar to Problem 1, Solve it at Tutorial

Determine the centroid of the shaded area shown below:

Problem 3

Find the centroidal distance, of the composite section shown below

Problem 4

Segment A (mm2) y (mm) yA (mm3)

1 50*200 100 1000000

2 50*400 225 4500000

3 50*200 100 1000000

Sum 40000 6500000

=

=

6500000

40000

= 162.5 mm

Problem 5

Solution

y y

x

C

x

50

35

10

50

3520 20

10

10 10

Calculate the distance y to the centroid, C of the cross-section.

Problem 6

Do it Yourself

Ans: 10.17mm