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Assume the spring system in da plane of screen [x-y plane]. Now u r pushing the mass along -z axis[inwards]. Here da ques requires tat 3 springs b inclined equally 2 each other. there4 at max displacement, da springs r inclined at 60 with z- axis. Now da extentions produced on each spring is da same[ say 'x ']. Resolving da forces along x-y plane & +z axis,forces in x-y plane cancel out
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