Answer: 1.3 m
Explanation:
From the figure attached, 3 materials are involved. A 14 kilogram beam hinged at one end, a 6.0-kilogram triangular object and a 7.5-kilogram capital I-shaped object.
Let take the moment at the hinge axis.
The moment for the beam will be
14 × ( 0.36 + 0.53 ) = 12.6
The moment of the triangle object will be 6 × 0.36 = 2.16
The moment of capital I shape will be
7.5 × ( 0.36 + 0.53 + 1.92 ) = 21.075
The total moment = 12.6 + 2.16 + 21.075
The total moment = 35.835
The total mass = 14 + 6 + 7.5 = 27.5
The center of mass of the entire system must be:
X = total moment ÷ total mass
Substitute both in the formula
X = 35.835/27.5
X = 1.3 m.
Therefore, The center of mass of the entire system must be 1.3m
