Question

Three blocks of mass 1kg, 2kg and 3kg with coefficient of friction between the surfaces are as shown. The lock 2kg is connected to the spring.

The maximum deflection of spring, for which no slipping occurs between blocks is

• A. 2.0m
• B. 1.0m
• C. 3.0m
• D. 0.5m

Answer 1

The correct option is B 1.0m


$F-f_2=(M_1+M_2)a{f}_{=}12N{f}_3=M_{3}aa=4m/s^{2}F-12=(1+2)4F=24N$
Maximum value for no slipping occurs
Kx =F
X =1m