Question

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.

Answer 1

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