A triangular plate made of homogeneous material has a constant thickness that is very small. if it is folded over as shown, determine the location z¯ of the plate's center of gravity g.

Given:

a = 6cm,

b = 3cm,

c = 1cm,

d = 3cm,

e = 1cm,

f = 3cm

Based on this given information we can determine the location of Yc

Solution:

Yc = 2db (b/2) + (1/2) 2cb (2b/3) + (1/2) 2ef (f/3) divided by 2db + (1/2) 2cb + (1/2) 2d (a+f)

= 2*3*3 (3/2) + (1/2) 2*1*3 ((2*3) / 3) + (1/2) 2*1*3 (3/3) divided by 2*3*3 + (1/2) 2*1*3 + (1/2) 2*3 (6 + 3)

Yc = 0.75 cm

The answer in this question is 0.75 cm

The location of Yc of the plate's center of gravity G is 0.75 cm