First slide
Work
Question

Two blocks of masses m1 and m2 connected by a non-deformed light spring rest on a rough ground as shown in figure. If friction coefficient on ground is μ then find the minimum constant force F to be applied on m2 so that m1 start sliding.

 

 

 

Moderate
Solution

m1 will slide if spring force kxμm1g
By work energy theorem m2 is displaced by x
0+Fxμm2gx12kx2=0 F=μm2g+12μm1g F=μg m2+m12

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