Centre Of mass & linear momentum

Two masses m2 and m3 are connected by a spring of spring constant k and are placed on a frictionless horizontal surface. Initially the spring is stretched through a distance x when the system is released from rest. Find the distance moved by the two masses before coming to rest. Ans: 2m3x/m2+m3, 2m2 x/m2+m3.

2 Answers

1
Pavithra Ramamoorthy ·

i think u have to use

d2x/dt2 +(2k*x)/m2m3 =0

1357
Manish Shankar ·

let the distance moved be x2 and x3

centre of mass remains at same position

so m2x2=m3x3

x2+x3=2x (as they come to rest after compression in the spring is x)

solve for x2 and x3

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