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Grade: 12 

                        
how to solve probleems related to two bodies connected to a spring by using conservation of linear momentum and energy.how to use reduced mass concept?
9 years ago

Answers : (2)

SAGAR SINGH - IIT DELHI
879 Points 
							
Dear student,


In such questions apply 2 concepts:


Conservation of energy


Conservation of momentum
9 years ago
Pramod J AskiitiansExpert-IIT-B
36 Points 
							
Dear student,


Given two bodies, one with mass m_{1}\!\, and the other with mass m_{2}\!\,, they will orbit the barycenter of the two bodies. The equivalent one-body problem, with the position of one body with respect to the other as the unknown, is that of a single body of mass


m_\text{red} = \mu =  \cfrac{1}{\cfrac{1}{m_1}+\cfrac{1}{m_2}} = \cfrac{m_1 m_2}{m_1 + m_2},\!\,


The relative acceleration between the two bodies is given by


a= a_1-a_2 = \left({1+{m_1 \over m_2}}\right) a_1 = {{m_2+m_1}\over{m_1 m_2}} m_1 a_1 = {F_{12} \over m_\text{red}}. 


 
9 years ago
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