Question

The center of gravity of an object is

• A. the sum of its moments divided by the weight of the specific object.
• B. the sum of its moments divided by the overall weight of the object.
• C. the sum of its moments of product of the overall weight of the object.
• D. none of the above

Answer 1

The correct option is B the sum of its moments divided by the overall weight of the object.

The center of gravity is defined as the ratio of sum of its moments to the total weight of the object.

Mathematically, center of gravity $x=\frac{m_{1}g{x}_1+m_{2}g{x}_2+....m_{n}g{x}_n}{(m_1+m_2+.....m_n)g}$

$⟹$ $x=\frac{m_1{x}_1+m_2{x}_2+....m_n{x}_n}{M}$

where overall weight of object $M=m_1+m_2+...m_n$