Question

_______ is the point on a body at which the whole mass of body is supposed to be concentrated 
1. Center of mass 
2. Center of gravity 
3. equlibrium 
4. Center of curvature 

Answer 1

Correct Answer - Option 1 : Center of mass 

CONCEPT:  

• The Center of the mass of the body is the point that behaves as if the whole mass is concentrated there and all external forces are acting there
• Mathematically center of mass can be written as the average position of all parts of the system, weighted according to their masses and the center of mass along the X-axis is given by 

\(CM = \frac{m_{1}x_{1}+m_{2}x_{2}+.....+m_{n}x_{n}}{m_{1}+m_{2}+......+m_{n}}\)

Where m₁,m₂ ......,m_n =Masses , x₁,x₂, ......,x_n = Position vectors 

EXPLANATION:

• The center of mass is the point on the body that acts as if the entire mass is concentrated on the point. Hence, option 1 is the answer