consider the situastion of the previous problem. Suppose the block of mass `m_1` is pulled by a constant force `F_1` and the other block is pulled by a constant force `F_2`. Find the maximum elongation that the spring will suffer.

consider the situastion of the previous problem. Suppose the block of

1.	consider the situastion of the previous problem. Suppose the block of mass `m_1` is pulled by a constant force `F_1` and the other block is pulled by a constant force `F_2`. Find the maximum elongation that the spring will suffer.
Answer» Correct Answer - A::B Acceleration of mass `m_1=(F_1-\|F_2)/(m_1+m-2)` Similarly acceleration of mass ltbr. `m_2=(F_2-F_1)/(m_1+m_2)` due to `F_1 and F_2` block of mass `m_1 and m_2` will expereince different acceleration and experience an ineertia force `:.` Net forc eon `m_1=F_1-m_1a` `=F_1-m_1xx((F_1-F_2))/(m-1+m-2)` `(m_1F_1+m_2F_1-m_1F_1+_2m-1)/(m-1+m_2)` `(m_2F_1+m-1F_2)/(m_1+m_2)` Similarly net force on `m_2` `=F_2-m_2xx((F_2-F_1))/(m_1+m_2)` `=(m_1F_2+m_2F_2-m_2F_2+m_2F_1)/(m_1+m_2)` `=(m_1.F_2+m_2.F_2)/(m_1+m_2)` `:.If m_1` is dispaced by a distance `x_1 and x_2 by m_2` the maximum extension of the spring is `x_1+x_2`. `:.` work done by the bocks =energy stored in the spring. `rarr (m_2.F_1+m_1F_2)/(m_1+m_2)x(x_1)+(m_2F_1+m_1F_2)/(m_1+m_2)xx_2` `=(1/2)K(x_1+x_2)^2` `rarr x_1+x_2=2/k (m_2F_1+m_1F_2)/(m_1+m_2)`

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consider the situastion of the previous problem. Suppose the block of mass `m_1` is pulled by a constant force `F_1` and the other block is pulled by a constant force `F_2`. Find the maximum elongation that the spring will suffer.

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