Two blocks initially at rest having masses m 1 and m 2 are connected by spring of spring constant k =
N/m (as shown in the figure). The block of mass m 1 is pulled by a constant force F 1 = 4N and the other block is pulled by a constant force F 2 = 2N Find the maximum elongation of the spring (the spring is initially relaxed) Assuming m 2 = 2m 1

Text Solution
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= 10

Wrt to center of mass.
Net force acting on m 1 and m 2

m 1

Applying work energy the same on system.
Fx + Fx –
Kx 2 = 0 – 0
= x (i) when F is

∴ F = F 1 + m 1
...(i)
∴ F =
....(ii)
Put value of F from (ii) is (i) use get x.
= x
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