Q. All surfaces assumed to be frictionless calculate the horizontal force F that must be applied so that m 1   a n d   m 2  do not move relative to  m 3 is  : -

1 .   m 1 + m 2 + m 3 m 2 g m 1 2 .   m 1 + m 2 m 2 g m 1 3 .   m 2 + m 3 m 1 g m 2 4 .     m 1 + m 3 m 1 g m 2

let that force be F accn of the system be a=Fm1+m2+m3let the tension at this situation is TT=m2gT=m1am2g=m1aa=m2gm1m2gm1=Fm1+m2+m3F=m2gm1m1+m2+m3Regards

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